4x^2+20x=-24

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Solution for 4x^2+20x=-24 equation:


Simplifying
4x2 + 20x = -24

Reorder the terms:
20x + 4x2 = -24

Solving
20x + 4x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + 20x + 4x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 20x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 5x + x2) = 0

Factor a trinomial.
4((3 + x)(2 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-3, -2}

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