(x)(x)-34=(x+2)(x-5)

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Solution for (x)(x)-34=(x+2)(x-5) equation:


Simplifying
(x)(x) + -34 = (x + 2)(x + -5)

Multiply x * x
x2 + -34 = (x + 2)(x + -5)

Reorder the terms:
-34 + x2 = (x + 2)(x + -5)

Reorder the terms:
-34 + x2 = (2 + x)(x + -5)

Reorder the terms:
-34 + x2 = (2 + x)(-5 + x)

Multiply (2 + x) * (-5 + x)
-34 + x2 = (2(-5 + x) + x(-5 + x))
-34 + x2 = ((-5 * 2 + x * 2) + x(-5 + x))
-34 + x2 = ((-10 + 2x) + x(-5 + x))
-34 + x2 = (-10 + 2x + (-5 * x + x * x))
-34 + x2 = (-10 + 2x + (-5x + x2))

Combine like terms: 2x + -5x = -3x
-34 + x2 = (-10 + -3x + x2)

Add '-1x2' to each side of the equation.
-34 + x2 + -1x2 = -10 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-34 + 0 = -10 + -3x + x2 + -1x2
-34 = -10 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-34 = -10 + -3x + 0
-34 = -10 + -3x

Solving
-34 = -10 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-34 + 3x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-34 + 3x = -10 + 0
-34 + 3x = -10

Add '34' to each side of the equation.
-34 + 34 + 3x = -10 + 34

Combine like terms: -34 + 34 = 0
0 + 3x = -10 + 34
3x = -10 + 34

Combine like terms: -10 + 34 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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