10x^2-11x-6=(5x+2)

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Solution for 10x^2-11x-6=(5x+2) equation: 


Simplifying
10x2 + -11x + -6 = (5x + 2)

Reorder the terms:
-6 + -11x + 10x2 = (5x + 2)

Reorder the terms:
-6 + -11x + 10x2 = (2 + 5x)

Remove parenthesis around (2 + 5x)
-6 + -11x + 10x2 = 2 + 5x

Solving
-6 + -11x + 10x2 = 2 + 5x

Solving for variable 'x'.

Reorder the terms:
-6 + -2 + -11x + -5x + 10x2 = 2 + 5x + -2 + -5x

Combine like terms: -6 + -2 = -8
-8 + -11x + -5x + 10x2 = 2 + 5x + -2 + -5x

Combine like terms: -11x + -5x = -16x
-8 + -16x + 10x2 = 2 + 5x + -2 + -5x

Reorder the terms:
-8 + -16x + 10x2 = 2 + -2 + 5x + -5x

Combine like terms: 2 + -2 = 0
-8 + -16x + 10x2 = 0 + 5x + -5x
-8 + -16x + 10x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -16x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -8x + 5x2) = 0

Factor a trinomial.
2((-2 + -5x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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 = {-0.4, 2}

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