(7x-8-2x^2)-(5x+8x^2-3)=

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Solution for (7x-8-2x^2)-(5x+8x^2-3)= equation: 


Simplifying
(7x + -8 + -2x2) + -1(5x + 8x2 + -3) = 0

Reorder the terms:
(-8 + 7x + -2x2) + -1(5x + 8x2 + -3) = 0

Remove parenthesis around (-8 + 7x + -2x2)
-8 + 7x + -2x2 + -1(5x + 8x2 + -3) = 0

Reorder the terms:
-8 + 7x + -2x2 + -1(-3 + 5x + 8x2) = 0
-8 + 7x + -2x2 + (-3 * -1 + 5x * -1 + 8x2 * -1) = 0
-8 + 7x + -2x2 + (3 + -5x + -8x2) = 0

Reorder the terms:
-8 + 3 + 7x + -5x + -2x2 + -8x2 = 0

Combine like terms: -8 + 3 = -5
-5 + 7x + -5x + -2x2 + -8x2 = 0

Combine like terms: 7x + -5x = 2x
-5 + 2x + -2x2 + -8x2 = 0

Combine like terms: -2x2 + -8x2 = -10x2
-5 + 2x + -10x2 = 0

Solving
-5 + 2x + -10x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.5 + -0.2x + x2 = 0.0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.2x + -0.5 + x2 = 0.0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.2x + x2 = 0.0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.2x + x2 = 0.0 + -0.5
-0.2x + x2 = 0.0 + -0.5

Combine like terms: 0.0 + -0.5 = -0.5
-0.2x + x2 = -0.5

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -0.5 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -0.5 + 0.01

Combine like terms: -0.5 + 0.01 = -0.49
0.01 + -0.2x + x2 = -0.49

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -0.49

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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