x^2-11x-32=-8x-4

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Solution for x^2-11x-32=-8x-4 equation:


Simplifying
x2 + -11x + -32 = -8x + -4

Reorder the terms:
-32 + -11x + x2 = -8x + -4

Reorder the terms:
-32 + -11x + x2 = -4 + -8x

Solving
-32 + -11x + x2 = -4 + -8x

Solving for variable 'x'.

Reorder the terms:
-32 + 4 + -11x + 8x + x2 = -4 + -8x + 4 + 8x

Combine like terms: -32 + 4 = -28
-28 + -11x + 8x + x2 = -4 + -8x + 4 + 8x

Combine like terms: -11x + 8x = -3x
-28 + -3x + x2 = -4 + -8x + 4 + 8x

Reorder the terms:
-28 + -3x + x2 = -4 + 4 + -8x + 8x

Combine like terms: -4 + 4 = 0
-28 + -3x + x2 = 0 + -8x + 8x
-28 + -3x + x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-28 + -3x + x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-4, 7}

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