=x(-x-5)+(x+3)(x-7)+12

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Solution for =x(-x-5)+(x+3)(x-7)+12 equation:


Simplifying
0 = x(-1x + -5) + (x + 3)(x + -7) + 12

Reorder the terms:
0 = x(-5 + -1x) + (x + 3)(x + -7) + 12
0 = (-5 * x + -1x * x) + (x + 3)(x + -7) + 12
0 = (-5x + -1x2) + (x + 3)(x + -7) + 12

Reorder the terms:
0 = -5x + -1x2 + (3 + x)(x + -7) + 12

Reorder the terms:
0 = -5x + -1x2 + (3 + x)(-7 + x) + 12

Multiply (3 + x) * (-7 + x)
0 = -5x + -1x2 + (3(-7 + x) + x(-7 + x)) + 12
0 = -5x + -1x2 + ((-7 * 3 + x * 3) + x(-7 + x)) + 12
0 = -5x + -1x2 + ((-21 + 3x) + x(-7 + x)) + 12
0 = -5x + -1x2 + (-21 + 3x + (-7 * x + x * x)) + 12
0 = -5x + -1x2 + (-21 + 3x + (-7x + x2)) + 12

Combine like terms: 3x + -7x = -4x
0 = -5x + -1x2 + (-21 + -4x + x2) + 12

Reorder the terms:
0 = -21 + 12 + -5x + -4x + -1x2 + x2

Combine like terms: -21 + 12 = -9
0 = -9 + -5x + -4x + -1x2 + x2

Combine like terms: -5x + -4x = -9x
0 = -9 + -9x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0 = -9 + -9x + 0
0 = -9 + -9x

Solving
0 = -9 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
0 + 9x = -9 + -9x + 9x
Remove the zero:
9x = -9 + -9x + 9x

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

Divide each side by '9'.
x = -1

Simplifying
x = -1

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