6x^2+16x-22=26-12x

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Solution for 6x^2+16x-22=26-12x equation: 


Simplifying
6x2 + 16x + -22 = 26 + -12x

Reorder the terms:
-22 + 16x + 6x2 = 26 + -12x

Solving
-22 + 16x + 6x2 = 26 + -12x

Solving for variable 'x'.

Reorder the terms:
-22 + -26 + 16x + 12x + 6x2 = 26 + -12x + -26 + 12x

Combine like terms: -22 + -26 = -48
-48 + 16x + 12x + 6x2 = 26 + -12x + -26 + 12x

Combine like terms: 16x + 12x = 28x
-48 + 28x + 6x2 = 26 + -12x + -26 + 12x

Reorder the terms:
-48 + 28x + 6x2 = 26 + -26 + -12x + 12x

Combine like terms: 26 + -26 = 0
-48 + 28x + 6x2 = 0 + -12x + 12x
-48 + 28x + 6x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-48 + 28x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 14x + 3x2) = 0

Factor a trinomial.
2((-6 + -1x)(4 + -3x)) = 0

Ignore the factor 2.

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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-6, 1.333333333}

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