4x^2+20x=96

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Solution for 4x^2+20x=96 equation:


Simplifying
4x2 + 20x = 96

Reorder the terms:
20x + 4x2 = 96

Solving
20x + 4x2 = 96

Solving for variable 'x'.

Reorder the terms:
-96 + 20x + 4x2 = 96 + -96

Combine like terms: 96 + -96 = 0
-96 + 20x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + 5x + x2) = 0

Factor a trinomial.
4((-8 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-8, 3}

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