(5x-6)(5x-6)=5x

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


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

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

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

Multiply (-6 + 5x) * (-6 + 5x)
(-6(-6 + 5x) + 5x * (-6 + 5x)) = 5x
((-6 * -6 + 5x * -6) + 5x * (-6 + 5x)) = 5x
((36 + -30x) + 5x * (-6 + 5x)) = 5x
(36 + -30x + (-6 * 5x + 5x * 5x)) = 5x
(36 + -30x + (-30x + 25x2)) = 5x

Combine like terms: -30x + -30x = -60x
(36 + -60x + 25x2) = 5x

Solving
36 + -60x + 25x2 = 5x

Solving for variable 'x'.

Reorder the terms:
36 + -60x + -5x + 25x2 = 5x + -5x

Combine like terms: -60x + -5x = -65x
36 + -65x + 25x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
36 + -65x + 25x2 = 0

Factor a trinomial.
(4 + -5x)(9 + -5x) = 0


Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {0.8, 1.8}

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