5x^2+20x-12=24-4x

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Solution for 5x^2+20x-12=24-4x equation: 


Simplifying
5x2 + 20x + -12 = 24 + -4x

Reorder the terms:
-12 + 20x + 5x2 = 24 + -4x

Solving
-12 + 20x + 5x2 = 24 + -4x

Solving for variable 'x'.

Reorder the terms:
-12 + -24 + 20x + 4x + 5x2 = 24 + -4x + -24 + 4x

Combine like terms: -12 + -24 = -36
-36 + 20x + 4x + 5x2 = 24 + -4x + -24 + 4x

Combine like terms: 20x + 4x = 24x
-36 + 24x + 5x2 = 24 + -4x + -24 + 4x

Reorder the terms:
-36 + 24x + 5x2 = 24 + -24 + -4x + 4x

Combine like terms: 24 + -24 = 0
-36 + 24x + 5x2 = 0 + -4x + 4x
-36 + 24x + 5x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-36 + 24x + 5x2 = 0

Factor a trinomial.
(-6 + -1x)(6 + -5x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-6, 1.2}

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