(-12x^2+6x-5)-(8x^2-7x+2)=

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Solution for (-12x^2+6x-5)-(8x^2-7x+2)= equation: 


Simplifying
(-12x2 + 6x + -5) + -1(8x2 + -7x + 2) = 0

Reorder the terms:
(-5 + 6x + -12x2) + -1(8x2 + -7x + 2) = 0

Remove parenthesis around (-5 + 6x + -12x2)
-5 + 6x + -12x2 + -1(8x2 + -7x + 2) = 0

Reorder the terms:
-5 + 6x + -12x2 + -1(2 + -7x + 8x2) = 0
-5 + 6x + -12x2 + (2 * -1 + -7x * -1 + 8x2 * -1) = 0
-5 + 6x + -12x2 + (-2 + 7x + -8x2) = 0

Reorder the terms:
-5 + -2 + 6x + 7x + -12x2 + -8x2 = 0

Combine like terms: -5 + -2 = -7
-7 + 6x + 7x + -12x2 + -8x2 = 0

Combine like terms: 6x + 7x = 13x
-7 + 13x + -12x2 + -8x2 = 0

Combine like terms: -12x2 + -8x2 = -20x2
-7 + 13x + -20x2 = 0

Solving
-7 + 13x + -20x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
0.35 + -0.65x + x2 = 0.0

Move the constant term to the right:

Add '-0.35' to each side of the equation.
0.35 + -0.65x + -0.35 + x2 = 0.0 + -0.35

Reorder the terms:
0.35 + -0.35 + -0.65x + x2 = 0.0 + -0.35

Combine like terms: 0.35 + -0.35 = 0.00
0.00 + -0.65x + x2 = 0.0 + -0.35
-0.65x + x2 = 0.0 + -0.35

Combine like terms: 0.0 + -0.35 = -0.35
-0.65x + x2 = -0.35

The x term is -0.65x.  Take half its coefficient (-0.325).
Square it (0.105625) and add it to both sides.

Add '0.105625' to each side of the equation.
-0.65x + 0.105625 + x2 = -0.35 + 0.105625

Reorder the terms:
0.105625 + -0.65x + x2 = -0.35 + 0.105625

Combine like terms: -0.35 + 0.105625 = -0.244375
0.105625 + -0.65x + x2 = -0.244375

Factor a perfect square on the left side:
(x + -0.325)(x + -0.325) = -0.244375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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