6x(x-1)=56-11x

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Solution for 6x(x-1)=56-11x equation: 


Simplifying
6x(x + -1) = 56 + -11x

Reorder the terms:
6x(-1 + x) = 56 + -11x
(-1 * 6x + x * 6x) = 56 + -11x
(-6x + 6x2) = 56 + -11x

Solving
-6x + 6x2 = 56 + -11x

Solving for variable 'x'.

Reorder the terms:
-56 + -6x + 11x + 6x2 = 56 + -11x + -56 + 11x

Combine like terms: -6x + 11x = 5x
-56 + 5x + 6x2 = 56 + -11x + -56 + 11x

Reorder the terms:
-56 + 5x + 6x2 = 56 + -56 + -11x + 11x

Combine like terms: 56 + -56 = 0
-56 + 5x + 6x2 = 0 + -11x + 11x
-56 + 5x + 6x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
-56 + 5x + 6x2 = 0

Factor a trinomial.
(-7 + -2x)(8 + -3x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-3.5, 2.666666667}

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