x*x+2x-20=-4x-4

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Solution for x*x+2x-20=-4x-4 equation:


Simplifying
x * x + 2x + -20 = -4x + -4

Multiply x * x
x2 + 2x + -20 = -4x + -4

Reorder the terms:
-20 + 2x + x2 = -4x + -4

Reorder the terms:
-20 + 2x + x2 = -4 + -4x

Solving
-20 + 2x + x2 = -4 + -4x

Solving for variable 'x'.

Reorder the terms:
-20 + 4 + 2x + 4x + x2 = -4 + -4x + 4 + 4x

Combine like terms: -20 + 4 = -16
-16 + 2x + 4x + x2 = -4 + -4x + 4 + 4x

Combine like terms: 2x + 4x = 6x
-16 + 6x + x2 = -4 + -4x + 4 + 4x

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

Combine like terms: -4 + 4 = 0
-16 + 6x + x2 = 0 + -4x + 4x
-16 + 6x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + 6x + x2 = 0

Factor a trinomial.
(-8 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-8, 2}

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