[-8x^2+(-3x^2+4)]+[-(4x^2+(-9-5x^2))-10x^2]=

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Solution for [-8x^2+(-3x^2+4)]+[-(4x^2+(-9-5x^2))-10x^2]= equation:


Simplifying
[-8x2 + (-3x2 + 4)] + [-1(4x2 + (-9 + -5x2)) + -10x2] = 0

Reorder the terms:
[-8x2 + (4 + -3x2)] + [-1(4x2 + (-9 + -5x2)) + -10x2] = 0

Remove parenthesis around (4 + -3x2)
[-8x2 + 4 + -3x2] + [-1(4x2 + (-9 + -5x2)) + -10x2] = 0

Reorder the terms:
[4 + -8x2 + -3x2] + [-1(4x2 + (-9 + -5x2)) + -10x2] = 0

Combine like terms: -8x2 + -3x2 = -11x2
[4 + -11x2] + [-1(4x2 + (-9 + -5x2)) + -10x2] = 0

Remove brackets around [4 + -11x2]
4 + -11x2 + [-1(4x2 + (-9 + -5x2)) + -10x2] = 0

Remove parenthesis around (-9 + -5x2)
4 + -11x2 + [-1(4x2 + -9 + -5x2) + -10x2] = 0

Reorder the terms:
4 + -11x2 + [-1(-9 + 4x2 + -5x2) + -10x2] = 0

Combine like terms: 4x2 + -5x2 = -1x2
4 + -11x2 + [-1(-9 + -1x2) + -10x2] = 0
4 + -11x2 + [(-9 * -1 + -1x2 * -1) + -10x2] = 0
4 + -11x2 + [(9 + 1x2) + -10x2] = 0

Combine like terms: 1x2 + -10x2 = -9x2
4 + -11x2 + [9 + -9x2] = 0

Remove brackets around [9 + -9x2]
4 + -11x2 + 9 + -9x2 = 0

Reorder the terms:
4 + 9 + -11x2 + -9x2 = 0

Combine like terms: 4 + 9 = 13
13 + -11x2 + -9x2 = 0

Combine like terms: -11x2 + -9x2 = -20x2
13 + -20x2 = 0

Solving
13 + -20x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -20x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -20x2 = 0 + -13
-20x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-20x2 = -13

Divide each side by '-20'.
x2 = 0.65

Simplifying
x2 = 0.65

Take the square root of each side:
x = {-0.806225775, 0.806225775}

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