(8x^2-3x)-(5x-5-8x^2)=

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Solution for (8x^2-3x)-(5x-5-8x^2)= equation:


Simplifying
(8x2 + -3x) + -1(5x + -5 + -8x2) = 0

Reorder the terms:
(-3x + 8x2) + -1(5x + -5 + -8x2) = 0

Remove parenthesis around (-3x + 8x2)
-3x + 8x2 + -1(5x + -5 + -8x2) = 0

Reorder the terms:
-3x + 8x2 + -1(-5 + 5x + -8x2) = 0
-3x + 8x2 + (-5 * -1 + 5x * -1 + -8x2 * -1) = 0
-3x + 8x2 + (5 + -5x + 8x2) = 0

Reorder the terms:
5 + -3x + -5x + 8x2 + 8x2 = 0

Combine like terms: -3x + -5x = -8x
5 + -8x + 8x2 + 8x2 = 0

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

Solving
5 + -8x + 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 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.3125' to each side of the equation.
0.3125 + -0.5x + -0.3125 + x2 = 0 + -0.3125

Reorder the terms:
0.3125 + -0.3125 + -0.5x + x2 = 0 + -0.3125

Combine like terms: 0.3125 + -0.3125 = 0.0000
0.0000 + -0.5x + x2 = 0 + -0.3125
-0.5x + x2 = 0 + -0.3125

Combine like terms: 0 + -0.3125 = -0.3125
-0.5x + x2 = -0.3125

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.3125 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.3125 + 0.0625

Combine like terms: -0.3125 + 0.0625 = -0.25
0.0625 + -0.5x + x2 = -0.25

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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