3x^2+12x-3=4-8x

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Solution for 3x^2+12x-3=4-8x equation: 


Simplifying
3x2 + 12x + -3 = 4 + -8x

Reorder the terms:
-3 + 12x + 3x2 = 4 + -8x

Solving
-3 + 12x + 3x2 = 4 + -8x

Solving for variable 'x'.

Reorder the terms:
-3 + -4 + 12x + 8x + 3x2 = 4 + -8x + -4 + 8x

Combine like terms: -3 + -4 = -7
-7 + 12x + 8x + 3x2 = 4 + -8x + -4 + 8x

Combine like terms: 12x + 8x = 20x
-7 + 20x + 3x2 = 4 + -8x + -4 + 8x

Reorder the terms:
-7 + 20x + 3x2 = 4 + -4 + -8x + 8x

Combine like terms: 4 + -4 = 0
-7 + 20x + 3x2 = 0 + -8x + 8x
-7 + 20x + 3x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 20x + 3x2 = 0

Factor a trinomial.
(-7 + -1x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-7, 0.3333333333}

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