(4x-7)(4x-7)=-16

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Solution for (4x-7)(4x-7)=-16 equation: 


Simplifying
(4x + -7)(4x + -7) = -16

Reorder the terms:
(-7 + 4x)(4x + -7) = -16

Reorder the terms:
(-7 + 4x)(-7 + 4x) = -16

Multiply (-7 + 4x) * (-7 + 4x)
(-7(-7 + 4x) + 4x * (-7 + 4x)) = -16
((-7 * -7 + 4x * -7) + 4x * (-7 + 4x)) = -16
((49 + -28x) + 4x * (-7 + 4x)) = -16
(49 + -28x + (-7 * 4x + 4x * 4x)) = -16
(49 + -28x + (-28x + 16x2)) = -16

Combine like terms: -28x + -28x = -56x
(49 + -56x + 16x2) = -16

Solving
49 + -56x + 16x2 = -16

Solving for variable 'x'.

Reorder the terms:
49 + 16 + -56x + 16x2 = -16 + 16

Combine like terms: 49 + 16 = 65
65 + -56x + 16x2 = -16 + 16

Combine like terms: -16 + 16 = 0
65 + -56x + 16x2 = 0

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

Divide each side by '16'.
4.0625 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-4.0625' to each side of the equation.
4.0625 + -3.5x + -4.0625 + x2 = 0 + -4.0625

Reorder the terms:
4.0625 + -4.0625 + -3.5x + x2 = 0 + -4.0625

Combine like terms: 4.0625 + -4.0625 = 0.0000
0.0000 + -3.5x + x2 = 0 + -4.0625
-3.5x + x2 = 0 + -4.0625

Combine like terms: 0 + -4.0625 = -4.0625
-3.5x + x2 = -4.0625

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -4.0625 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -4.0625 + 3.0625

Combine like terms: -4.0625 + 3.0625 = -1
3.0625 + -3.5x + x2 = -1

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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