(4x-5)(4x-5)=-36

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Solution for (4x-5)(4x-5)=-36 equation: 


Simplifying
(4x + -5)(4x + -5) = -36

Reorder the terms:
(-5 + 4x)(4x + -5) = -36

Reorder the terms:
(-5 + 4x)(-5 + 4x) = -36

Multiply (-5 + 4x) * (-5 + 4x)
(-5(-5 + 4x) + 4x * (-5 + 4x)) = -36
((-5 * -5 + 4x * -5) + 4x * (-5 + 4x)) = -36
((25 + -20x) + 4x * (-5 + 4x)) = -36
(25 + -20x + (-5 * 4x + 4x * 4x)) = -36
(25 + -20x + (-20x + 16x2)) = -36

Combine like terms: -20x + -20x = -40x
(25 + -40x + 16x2) = -36

Solving
25 + -40x + 16x2 = -36

Solving for variable 'x'.

Reorder the terms:
25 + 36 + -40x + 16x2 = -36 + 36

Combine like terms: 25 + 36 = 61
61 + -40x + 16x2 = -36 + 36

Combine like terms: -36 + 36 = 0
61 + -40x + 16x2 = 0

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

Divide each side by '16'.
3.8125 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3.8125' to each side of the equation.
3.8125 + -2.5x + -3.8125 + x2 = 0 + -3.8125

Reorder the terms:
3.8125 + -3.8125 + -2.5x + x2 = 0 + -3.8125

Combine like terms: 3.8125 + -3.8125 = 0.0000
0.0000 + -2.5x + x2 = 0 + -3.8125
-2.5x + x2 = 0 + -3.8125

Combine like terms: 0 + -3.8125 = -3.8125
-2.5x + x2 = -3.8125

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3.8125 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3.8125 + 1.5625

Combine like terms: -3.8125 + 1.5625 = -2.25
1.5625 + -2.5x + x2 = -2.25

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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