-8x(8x-2)=3x+16

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Solution for -8x(8x-2)=3x+16 equation:


Simplifying
-8x(8x + -2) = 3x + 16

Reorder the terms:
-8x(-2 + 8x) = 3x + 16
(-2 * -8x + 8x * -8x) = 3x + 16
(16x + -64x2) = 3x + 16

Reorder the terms:
16x + -64x2 = 16 + 3x

Solving
16x + -64x2 = 16 + 3x

Solving for variable 'x'.

Reorder the terms:
-16 + 16x + -3x + -64x2 = 16 + 3x + -16 + -3x

Combine like terms: 16x + -3x = 13x
-16 + 13x + -64x2 = 16 + 3x + -16 + -3x

Reorder the terms:
-16 + 13x + -64x2 = 16 + -16 + 3x + -3x

Combine like terms: 16 + -16 = 0
-16 + 13x + -64x2 = 0 + 3x + -3x
-16 + 13x + -64x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 13x + -64x2 = 0

Begin completing the square.  Divide all terms by
-64 the coefficient of the squared term: 

Divide each side by '-64'.
0.25 + -0.203125x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.203125x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.203125x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.203125x + x2 = 0 + -0.25
-0.203125x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.203125x + x2 = -0.25

The x term is -0.203125x.  Take half its coefficient (-0.1015625).
Square it (0.01031494141) and add it to both sides.

Add '0.01031494141' to each side of the equation.
-0.203125x + 0.01031494141 + x2 = -0.25 + 0.01031494141

Reorder the terms:
0.01031494141 + -0.203125x + x2 = -0.25 + 0.01031494141

Combine like terms: -0.25 + 0.01031494141 = -0.23968505859
0.01031494141 + -0.203125x + x2 = -0.23968505859

Factor a perfect square on the left side:
(x + -0.1015625)(x + -0.1015625) = -0.23968505859

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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