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

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


Simplifying
6x2 + 6x + -10 = 11 + -5x

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

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

Solving for variable 'x'.

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

Combine like terms: -10 + -11 = -21
-21 + 6x + 5x + 6x2 = 11 + -5x + -11 + 5x

Combine like terms: 6x + 5x = 11x
-21 + 11x + 6x2 = 11 + -5x + -11 + 5x

Reorder the terms:
-21 + 11x + 6x2 = 11 + -11 + -5x + 5x

Combine like terms: 11 + -11 = 0
-21 + 11x + 6x2 = 0 + -5x + 5x
-21 + 11x + 6x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-21 + 11x + 6x2 = 0

Factor a trinomial.
(-3 + -1x)(7 + -6x) = 0


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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-3, 1.166666667}

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