(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 = -55x
36 + -55x + 25x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
36 + -55x + 25x2 = 0

Begin completing the square.  Divide all terms by
25 the coefficient of the squared term: 

Divide each side by '25'.
1.44 + -2.2x + x2 = 0

Move the constant term to the right:

Add '-1.44' to each side of the equation.
1.44 + -2.2x + -1.44 + x2 = 0 + -1.44

Reorder the terms:
1.44 + -1.44 + -2.2x + x2 = 0 + -1.44

Combine like terms: 1.44 + -1.44 = 0.00
0.00 + -2.2x + x2 = 0 + -1.44
-2.2x + x2 = 0 + -1.44

Combine like terms: 0 + -1.44 = -1.44
-2.2x + x2 = -1.44

The x term is -2.2x.  Take half its coefficient (-1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
-2.2x + 1.21 + x2 = -1.44 + 1.21

Reorder the terms:
1.21 + -2.2x + x2 = -1.44 + 1.21

Combine like terms: -1.44 + 1.21 = -0.23
1.21 + -2.2x + x2 = -0.23

Factor a perfect square on the left side:
(x + -1.1)(x + -1.1) = -0.23

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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