(x-3)(x+4)-2(3x-2)=x^2+8x+16

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Solution for (x-3)(x+4)-2(3x-2)=x^2+8x+16 equation:


Simplifying
(x + -3)(x + 4) + -2(3x + -2) = x2 + 8x + 16

Reorder the terms:
(-3 + x)(x + 4) + -2(3x + -2) = x2 + 8x + 16

Reorder the terms:
(-3 + x)(4 + x) + -2(3x + -2) = x2 + 8x + 16

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) + -2(3x + -2) = x2 + 8x + 16
((4 * -3 + x * -3) + x(4 + x)) + -2(3x + -2) = x2 + 8x + 16
((-12 + -3x) + x(4 + x)) + -2(3x + -2) = x2 + 8x + 16
(-12 + -3x + (4 * x + x * x)) + -2(3x + -2) = x2 + 8x + 16
(-12 + -3x + (4x + x2)) + -2(3x + -2) = x2 + 8x + 16

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) + -2(3x + -2) = x2 + 8x + 16

Reorder the terms:
-12 + 1x + x2 + -2(-2 + 3x) = x2 + 8x + 16
-12 + 1x + x2 + (-2 * -2 + 3x * -2) = x2 + 8x + 16
-12 + 1x + x2 + (4 + -6x) = x2 + 8x + 16

Reorder the terms:
-12 + 4 + 1x + -6x + x2 = x2 + 8x + 16

Combine like terms: -12 + 4 = -8
-8 + 1x + -6x + x2 = x2 + 8x + 16

Combine like terms: 1x + -6x = -5x
-8 + -5x + x2 = x2 + 8x + 16

Reorder the terms:
-8 + -5x + x2 = 16 + 8x + x2

Add '-1x2' to each side of the equation.
-8 + -5x + x2 + -1x2 = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -5x + 0 = 16 + 8x + x2 + -1x2
-8 + -5x = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -5x = 16 + 8x + 0
-8 + -5x = 16 + 8x

Solving
-8 + -5x = 16 + 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.
-8 + -5x + -8x = 16 + 8x + -8x

Combine like terms: -5x + -8x = -13x
-8 + -13x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + -13x = 16 + 0
-8 + -13x = 16

Add '8' to each side of the equation.
-8 + 8 + -13x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -13x = 16 + 8
-13x = 16 + 8

Combine like terms: 16 + 8 = 24
-13x = 24

Divide each side by '-13'.
x = -1.846153846

Simplifying
x = -1.846153846

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