(8x^2-11x-16)-5(3x^2-7x+12)-(2x^2-9x-6)=

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Solution for (8x^2-11x-16)-5(3x^2-7x+12)-(2x^2-9x-6)= equation:


Simplifying
(8x2 + -11x + -16) + -5(3x2 + -7x + 12) + -1(2x2 + -9x + -6) = 0

Reorder the terms:
(-16 + -11x + 8x2) + -5(3x2 + -7x + 12) + -1(2x2 + -9x + -6) = 0

Remove parenthesis around (-16 + -11x + 8x2)
-16 + -11x + 8x2 + -5(3x2 + -7x + 12) + -1(2x2 + -9x + -6) = 0

Reorder the terms:
-16 + -11x + 8x2 + -5(12 + -7x + 3x2) + -1(2x2 + -9x + -6) = 0
-16 + -11x + 8x2 + (12 * -5 + -7x * -5 + 3x2 * -5) + -1(2x2 + -9x + -6) = 0
-16 + -11x + 8x2 + (-60 + 35x + -15x2) + -1(2x2 + -9x + -6) = 0

Reorder the terms:
-16 + -11x + 8x2 + -60 + 35x + -15x2 + -1(-6 + -9x + 2x2) = 0
-16 + -11x + 8x2 + -60 + 35x + -15x2 + (-6 * -1 + -9x * -1 + 2x2 * -1) = 0
-16 + -11x + 8x2 + -60 + 35x + -15x2 + (6 + 9x + -2x2) = 0

Reorder the terms:
-16 + -60 + 6 + -11x + 35x + 9x + 8x2 + -15x2 + -2x2 = 0

Combine like terms: -16 + -60 = -76
-76 + 6 + -11x + 35x + 9x + 8x2 + -15x2 + -2x2 = 0

Combine like terms: -76 + 6 = -70
-70 + -11x + 35x + 9x + 8x2 + -15x2 + -2x2 = 0

Combine like terms: -11x + 35x = 24x
-70 + 24x + 9x + 8x2 + -15x2 + -2x2 = 0

Combine like terms: 24x + 9x = 33x
-70 + 33x + 8x2 + -15x2 + -2x2 = 0

Combine like terms: 8x2 + -15x2 = -7x2
-70 + 33x + -7x2 + -2x2 = 0

Combine like terms: -7x2 + -2x2 = -9x2
-70 + 33x + -9x2 = 0

Solving
-70 + 33x + -9x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
7.777777778 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-7.777777778' to each side of the equation.
7.777777778 + -3.666666667x + -7.777777778 + x2 = 0 + -7.777777778

Reorder the terms:
7.777777778 + -7.777777778 + -3.666666667x + x2 = 0 + -7.777777778

Combine like terms: 7.777777778 + -7.777777778 = 0.000000000
0.000000000 + -3.666666667x + x2 = 0 + -7.777777778
-3.666666667x + x2 = 0 + -7.777777778

Combine like terms: 0 + -7.777777778 = -7.777777778
-3.666666667x + x2 = -7.777777778

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -7.777777778 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -7.777777778 + 3.361111114

Combine like terms: -7.777777778 + 3.361111114 = -4.416666664
3.361111114 + -3.666666667x + x2 = -4.416666664

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -4.416666664

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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