(4x)(4x)-20x+25=0

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Solution for (4x)(4x)-20x+25=0 equation: 


Simplifying
(4x)(4x) + -20x + 25 = 0

Remove parenthesis around (4x)
4x(4x) + -20x + 25 = 0

Remove parenthesis around (4x)
4x * 4x + -20x + 25 = 0

Reorder the terms for easier multiplication:
4 * 4x * x + -20x + 25 = 0

Multiply 4 * 4
16x * x + -20x + 25 = 0

Multiply x * x
16x2 + -20x + 25 = 0

Reorder the terms:
25 + -20x + 16x2 = 0

Solving
25 + -20x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
1.5625 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-1.5625' to each side of the equation.
1.5625 + -1.25x + -1.5625 + x2 = 0 + -1.5625

Reorder the terms:
1.5625 + -1.5625 + -1.25x + x2 = 0 + -1.5625

Combine like terms: 1.5625 + -1.5625 = 0.0000
0.0000 + -1.25x + x2 = 0 + -1.5625
-1.25x + x2 = 0 + -1.5625

Combine like terms: 0 + -1.5625 = -1.5625
-1.25x + x2 = -1.5625

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -1.5625 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -1.5625 + 0.390625

Combine like terms: -1.5625 + 0.390625 = -1.171875
0.390625 + -1.25x + x2 = -1.171875

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -1.171875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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