2.5x-2(8x-4)x=3.1

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Solution for 2.5x-2(8x-4)x=3.1 equation: 


Simplifying
2.5x + -2(8x + -4) * x = 3.1

Reorder the terms:
2.5x + -2(-4 + 8x) * x = 3.1

Reorder the terms for easier multiplication:
2.5x + -2x(-4 + 8x) = 3.1
2.5x + (-4 * -2x + 8x * -2x) = 3.1
2.5x + (8x + -16x2) = 3.1

Combine like terms: 2.5x + 8x = 10.5x
10.5x + -16x2 = 3.1

Solving
10.5x + -16x2 = 3.1

Solving for variable 'x'.

Reorder the terms:
-3.1 + 10.5x + -16x2 = 3.1 + -3.1

Combine like terms: 3.1 + -3.1 = 0.0
-3.1 + 10.5x + -16x2 = 0.0

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

Divide each side by '-16'.
0.19375 + -0.65625x + x2 = 0.0

Move the constant term to the right:

Add '-0.19375' to each side of the equation.
0.19375 + -0.65625x + -0.19375 + x2 = 0.0 + -0.19375

Reorder the terms:
0.19375 + -0.19375 + -0.65625x + x2 = 0.0 + -0.19375

Combine like terms: 0.19375 + -0.19375 = 0.00000
0.00000 + -0.65625x + x2 = 0.0 + -0.19375
-0.65625x + x2 = 0.0 + -0.19375

Combine like terms: 0.0 + -0.19375 = -0.19375
-0.65625x + x2 = -0.19375

The x term is -0.65625x.  Take half its coefficient (-0.328125).
Square it (0.1076660156) and add it to both sides.

Add '0.1076660156' to each side of the equation.
-0.65625x + 0.1076660156 + x2 = -0.19375 + 0.1076660156

Reorder the terms:
0.1076660156 + -0.65625x + x2 = -0.19375 + 0.1076660156

Combine like terms: -0.19375 + 0.1076660156 = -0.0860839844
0.1076660156 + -0.65625x + x2 = -0.0860839844

Factor a perfect square on the left side:
(x + -0.328125)(x + -0.328125) = -0.0860839844

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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