6x^2+28x-2=2x-10

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Solution for 6x^2+28x-2=2x-10 equation: 


Simplifying
6x2 + 28x + -2 = 2x + -10

Reorder the terms:
-2 + 28x + 6x2 = 2x + -10

Reorder the terms:
-2 + 28x + 6x2 = -10 + 2x

Solving
-2 + 28x + 6x2 = -10 + 2x

Solving for variable 'x'.

Reorder the terms:
-2 + 10 + 28x + -2x + 6x2 = -10 + 2x + 10 + -2x

Combine like terms: -2 + 10 = 8
8 + 28x + -2x + 6x2 = -10 + 2x + 10 + -2x

Combine like terms: 28x + -2x = 26x
8 + 26x + 6x2 = -10 + 2x + 10 + -2x

Reorder the terms:
8 + 26x + 6x2 = -10 + 10 + 2x + -2x

Combine like terms: -10 + 10 = 0
8 + 26x + 6x2 = 0 + 2x + -2x
8 + 26x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 26x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 13x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4

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 = {-4, -0.3333333333}

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