[(8x^2-11x-3)-(24x^2-9x+17)]-(-24x^2+12x-27)=

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Solution for [(8x^2-11x-3)-(24x^2-9x+17)]-(-24x^2+12x-27)= equation: 


Simplifying
[(8x2 + -11x + -3) + -1(24x2 + -9x + 17)] + -1(-24x2 + 12x + -27) = 0

Reorder the terms:
[(-3 + -11x + 8x2) + -1(24x2 + -9x + 17)] + -1(-24x2 + 12x + -27) = 0

Remove parenthesis around (-3 + -11x + 8x2)
[-3 + -11x + 8x2 + -1(24x2 + -9x + 17)] + -1(-24x2 + 12x + -27) = 0

Reorder the terms:
[-3 + -11x + 8x2 + -1(17 + -9x + 24x2)] + -1(-24x2 + 12x + -27) = 0
[-3 + -11x + 8x2 + (17 * -1 + -9x * -1 + 24x2 * -1)] + -1(-24x2 + 12x + -27) = 0
[-3 + -11x + 8x2 + (-17 + 9x + -24x2)] + -1(-24x2 + 12x + -27) = 0

Reorder the terms:
[-3 + -17 + -11x + 9x + 8x2 + -24x2] + -1(-24x2 + 12x + -27) = 0

Combine like terms: -3 + -17 = -20
[-20 + -11x + 9x + 8x2 + -24x2] + -1(-24x2 + 12x + -27) = 0

Combine like terms: -11x + 9x = -2x
[-20 + -2x + 8x2 + -24x2] + -1(-24x2 + 12x + -27) = 0

Combine like terms: 8x2 + -24x2 = -16x2
[-20 + -2x + -16x2] + -1(-24x2 + 12x + -27) = 0

Remove brackets around [-20 + -2x + -16x2]
-20 + -2x + -16x2 + -1(-24x2 + 12x + -27) = 0

Reorder the terms:
-20 + -2x + -16x2 + -1(-27 + 12x + -24x2) = 0
-20 + -2x + -16x2 + (-27 * -1 + 12x * -1 + -24x2 * -1) = 0
-20 + -2x + -16x2 + (27 + -12x + 24x2) = 0

Reorder the terms:
-20 + 27 + -2x + -12x + -16x2 + 24x2 = 0

Combine like terms: -20 + 27 = 7
7 + -2x + -12x + -16x2 + 24x2 = 0

Combine like terms: -2x + -12x = -14x
7 + -14x + -16x2 + 24x2 = 0

Combine like terms: -16x2 + 24x2 = 8x2
7 + -14x + 8x2 = 0

Solving
7 + -14x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.875 + -1.75x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -1.75x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -1.75x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -1.75x + x2 = 0 + -0.875
-1.75x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-1.75x + x2 = -0.875

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -0.875 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -0.875 + 0.765625

Combine like terms: -0.875 + 0.765625 = -0.109375
0.765625 + -1.75x + x2 = -0.109375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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