3x^2-12-7=7-7x

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Solution for 3x^2-12-7=7-7x equation: 


Simplifying
3x2 + -12 + -7 = 7 + -7x

Reorder the terms:
-12 + -7 + 3x2 = 7 + -7x

Combine like terms: -12 + -7 = -19
-19 + 3x2 = 7 + -7x

Solving
-19 + 3x2 = 7 + -7x

Solving for variable 'x'.

Reorder the terms:
-19 + -7 + 7x + 3x2 = 7 + -7x + -7 + 7x

Combine like terms: -19 + -7 = -26
-26 + 7x + 3x2 = 7 + -7x + -7 + 7x

Reorder the terms:
-26 + 7x + 3x2 = 7 + -7 + -7x + 7x

Combine like terms: 7 + -7 = 0
-26 + 7x + 3x2 = 0 + -7x + 7x
-26 + 7x + 3x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-26 + 7x + 3x2 = 0

Factor a trinomial.
(-13 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -3x)' equal to zero and attempt to solve:

Simplifying
-13 + -3x = 0

Solving
-13 + -3x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 0 + 13
-3x = 0 + 13

Combine like terms: 0 + 13 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4.333333333, 2}

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