4x^2+3x-3=12-4x

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Solution for 4x^2+3x-3=12-4x equation: 


Simplifying
4x2 + 3x + -3 = 12 + -4x

Reorder the terms:
-3 + 3x + 4x2 = 12 + -4x

Solving
-3 + 3x + 4x2 = 12 + -4x

Solving for variable 'x'.

Reorder the terms:
-3 + -12 + 3x + 4x + 4x2 = 12 + -4x + -12 + 4x

Combine like terms: -3 + -12 = -15
-15 + 3x + 4x + 4x2 = 12 + -4x + -12 + 4x

Combine like terms: 3x + 4x = 7x
-15 + 7x + 4x2 = 12 + -4x + -12 + 4x

Reorder the terms:
-15 + 7x + 4x2 = 12 + -12 + -4x + 4x

Combine like terms: 12 + -12 = 0
-15 + 7x + 4x2 = 0 + -4x + 4x
-15 + 7x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 7x + 4x2 = 0

Factor a trinomial.
(-3 + -1x)(5 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-3, 1.25}

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