(4x)(4x)-14x+5=0

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Solution for (4x)(4x)-14x+5=0 equation: 


Simplifying
(4x)(4x) + -14x + 5 = 0

Remove parenthesis around (4x)
4x(4x) + -14x + 5 = 0

Remove parenthesis around (4x)
4x * 4x + -14x + 5 = 0

Reorder the terms for easier multiplication:
4 * 4x * x + -14x + 5 = 0

Multiply 4 * 4
16x * x + -14x + 5 = 0

Multiply x * x
16x2 + -14x + 5 = 0

Reorder the terms:
5 + -14x + 16x2 = 0

Solving
5 + -14x + 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'.
0.3125 + -0.875x + x2 = 0

Move the constant term to the right:

Add '-0.3125' to each side of the equation.
0.3125 + -0.875x + -0.3125 + x2 = 0 + -0.3125

Reorder the terms:
0.3125 + -0.3125 + -0.875x + x2 = 0 + -0.3125

Combine like terms: 0.3125 + -0.3125 = 0.0000
0.0000 + -0.875x + x2 = 0 + -0.3125
-0.875x + x2 = 0 + -0.3125

Combine like terms: 0 + -0.3125 = -0.3125
-0.875x + x2 = -0.3125

The x term is -0.875x.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875x + 0.19140625 + x2 = -0.3125 + 0.19140625

Reorder the terms:
0.19140625 + -0.875x + x2 = -0.3125 + 0.19140625

Combine like terms: -0.3125 + 0.19140625 = -0.12109375
0.19140625 + -0.875x + x2 = -0.12109375

Factor a perfect square on the left side:
(x + -0.4375)(x + -0.4375) = -0.12109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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