Explanation:

First, leveling the equation for this reason the absolute value is all that stays on the left next of the equation:

|2*x* – 25| = 10

Now create two equalities, one for 10 and also one for –10.

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2*x* – 25 = 10 and also 2*x* – 25 = –10

2*x* = 35 and 2*x* = 15

*x* = 17.5 and *x* = 7.5

The two remedies are 7.5 and 17.5. 17.5 + 7.5 = 25

When you divide a number by 3 and then include 2, the an outcome is the same as as soon as you multiply the very same number through 2 climate subtract 23. What is the number?

Explanation:

You collection up the equation and you get: (*x*/3) + 2 = 2*x –* 23.

Add 23 to both sides: (*x*/3) + 25 = 2*x*

Multiply both political parties by 3: *x* + 75 = 6*x*

Subtract *x* native both sides: 75 = 5*x*

Divide by 5 and also get *x *= 15

Explanation:

First, we need to get whatever on one next so that the equation equates to zero.

2x2 - 2x -2 = 1-x

We require to include x to the left, and then subtract 1.

2x2 - 2x -2 +x - 1 = 0

2x2 - x - 3 = 0

Now we require to factor the binomial. In bespeak to carry out this, we must multiply the external two coefficients, i m sorry will give us 2(-3) = -6. We need to uncover two numbers that will mutiply to give us -6. We likewise need these two numers to same -1 when we include them, due to the fact that -1 is the coefficient that the x term.

If we usage +2 and also -3, then these two numbers will certainly multiply to provide us -6 and include to offer us -1. Now we deserve to rewrite the equation together follows:

2x2 - x - 3 = 2x2 + 2x - 3x - 3 = 0

2x2 + 2x - 3x - 3 = 0

Now us can group the first two terms and also the last 2 terms. We can then aspect the very first two terms and the last two terms.

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2x(x+1) -3(x+1) = 0

(2x-3)(x+1) = 0

This method that either 2x - 3 = 0, or x + 1 = 0. For this reason the worths of x that resolve the equation room 3/2 and -1.

The concern asks united state for the amount of the solutions, so we must add 3/2 and -1, i beg your pardon would provide us 1/2.