5x(x+-1)=6x

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Solution for 5x(x+-1)=6x equation: 


Simplifying
5x(x + -1) = 6x

Reorder the terms:
5x(-1 + x) = 6x
(-1 * 5x + x * 5x) = 6x
(-5x + 5x2) = 6x

Solving
-5x + 5x2 = 6x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-11 + 5x)' equal to zero and attempt to solve:

Simplifying
-11 + 5x = 0

Solving
-11 + 5x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 5x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 0 + 11
5x = 0 + 11

Combine like terms: 0 + 11 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2
Solution
x = {0, 2.2}

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