(x+2)(x-3)=x^2+8x-12

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Solution for (x+2)(x-3)=x^2+8x-12 equation:


Simplifying
(x + 2)(x + -3) = x2 + 8x + -12

Reorder the terms:
(2 + x)(x + -3) = x2 + 8x + -12

Reorder the terms:
(2 + x)(-3 + x) = x2 + 8x + -12

Multiply (2 + x) * (-3 + x)
(2(-3 + x) + x(-3 + x)) = x2 + 8x + -12
((-3 * 2 + x * 2) + x(-3 + x)) = x2 + 8x + -12
((-6 + 2x) + x(-3 + x)) = x2 + 8x + -12
(-6 + 2x + (-3 * x + x * x)) = x2 + 8x + -12
(-6 + 2x + (-3x + x2)) = x2 + 8x + -12

Combine like terms: 2x + -3x = -1x
(-6 + -1x + x2) = x2 + 8x + -12

Reorder the terms:
-6 + -1x + x2 = -12 + 8x + x2

Add '-1x2' to each side of the equation.
-6 + -1x + x2 + -1x2 = -12 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x + 0 = -12 + 8x + x2 + -1x2
-6 + -1x = -12 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x = -12 + 8x + 0
-6 + -1x = -12 + 8x

Solving
-6 + -1x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + -1x + -8x = -12 + 8x + -8x

Combine like terms: -1x + -8x = -9x
-6 + -9x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -9x = -12 + 0
-6 + -9x = -12

Add '6' to each side of the equation.
-6 + 6 + -9x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = -12 + 6
-9x = -12 + 6

Combine like terms: -12 + 6 = -6
-9x = -6

Divide each side by '-9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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