2(x-2)=16x^2-5x

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Solution for 2(x-2)=16x^2-5x equation: 


Simplifying
2(x + -2) = 16x2 + -5x

Reorder the terms:
2(-2 + x) = 16x2 + -5x
(-2 * 2 + x * 2) = 16x2 + -5x
(-4 + 2x) = 16x2 + -5x

Reorder the terms:
-4 + 2x = -5x + 16x2

Solving
-4 + 2x = -5x + 16x2

Solving for variable 'x'.

Combine like terms: 2x + 5x = 7x
-4 + 7x + -16x2 = -5x + 16x2 + 5x + -16x2

Reorder the terms:
-4 + 7x + -16x2 = -5x + 5x + 16x2 + -16x2

Combine like terms: -5x + 5x = 0
-4 + 7x + -16x2 = 0 + 16x2 + -16x2
-4 + 7x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-4 + 7x + -16x2 = 0

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

Divide each side by '-16'.
0.25 + -0.4375x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.4375x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.4375x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.4375x + x2 = 0 + -0.25
-0.4375x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.4375x + x2 = -0.25

The x term is -0.4375x.  Take half its coefficient (-0.21875).
Square it (0.0478515625) and add it to both sides.

Add '0.0478515625' to each side of the equation.
-0.4375x + 0.0478515625 + x2 = -0.25 + 0.0478515625

Reorder the terms:
0.0478515625 + -0.4375x + x2 = -0.25 + 0.0478515625

Combine like terms: -0.25 + 0.0478515625 = -0.2021484375
0.0478515625 + -0.4375x + x2 = -0.2021484375

Factor a perfect square on the left side:
(x + -0.21875)(x + -0.21875) = -0.2021484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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