x^2+3x-24=4x-4

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Solution for x^2+3x-24=4x-4 equation: 


Simplifying
x2 + 3x + -24 = 4x + -4

Reorder the terms:
-24 + 3x + x2 = 4x + -4

Reorder the terms:
-24 + 3x + x2 = -4 + 4x

Solving
-24 + 3x + x2 = -4 + 4x

Solving for variable 'x'.

Reorder the terms:
-24 + 4 + 3x + -4x + x2 = -4 + 4x + 4 + -4x

Combine like terms: -24 + 4 = -20
-20 + 3x + -4x + x2 = -4 + 4x + 4 + -4x

Combine like terms: 3x + -4x = -1x
-20 + -1x + x2 = -4 + 4x + 4 + -4x

Reorder the terms:
-20 + -1x + x2 = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0
-20 + -1x + x2 = 0 + 4x + -4x
-20 + -1x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-4, 5}

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