(4x)(4x)-13x+6-8x+5=0

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Solution for (4x)(4x)-13x+6-8x+5=0 equation: 


Simplifying
(4x)(4x) + -13x + 6 + -8x + 5 = 0

Remove parenthesis around (4x)
4x(4x) + -13x + 6 + -8x + 5 = 0

Remove parenthesis around (4x)
4x * 4x + -13x + 6 + -8x + 5 = 0

Reorder the terms for easier multiplication:
4 * 4x * x + -13x + 6 + -8x + 5 = 0

Multiply 4 * 4
16x * x + -13x + 6 + -8x + 5 = 0

Multiply x * x
16x2 + -13x + 6 + -8x + 5 = 0

Reorder the terms:
6 + 5 + -13x + -8x + 16x2 = 0

Combine like terms: 6 + 5 = 11
11 + -13x + -8x + 16x2 = 0

Combine like terms: -13x + -8x = -21x
11 + -21x + 16x2 = 0

Solving
11 + -21x + 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'.
0.6875 + -1.3125x + x2 = 0

Move the constant term to the right:

Add '-0.6875' to each side of the equation.
0.6875 + -1.3125x + -0.6875 + x2 = 0 + -0.6875

Reorder the terms:
0.6875 + -0.6875 + -1.3125x + x2 = 0 + -0.6875

Combine like terms: 0.6875 + -0.6875 = 0.0000
0.0000 + -1.3125x + x2 = 0 + -0.6875
-1.3125x + x2 = 0 + -0.6875

Combine like terms: 0 + -0.6875 = -0.6875
-1.3125x + x2 = -0.6875

The x term is -1.3125x.  Take half its coefficient (-0.65625).
Square it (0.4306640625) and add it to both sides.

Add '0.4306640625' to each side of the equation.
-1.3125x + 0.4306640625 + x2 = -0.6875 + 0.4306640625

Reorder the terms:
0.4306640625 + -1.3125x + x2 = -0.6875 + 0.4306640625

Combine like terms: -0.6875 + 0.4306640625 = -0.2568359375
0.4306640625 + -1.3125x + x2 = -0.2568359375

Factor a perfect square on the left side:
(x + -0.65625)(x + -0.65625) = -0.2568359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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