(-3x^2-2x+4)-(1x^2-5x-6)-(4x^2+3x-8)=

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Solution for (-3x^2-2x+4)-(1x^2-5x-6)-(4x^2+3x-8)= equation: 


Simplifying
(-3x2 + -2x + 4) + -1(1x2 + -5x + -6) + -1(4x2 + 3x + -8) = 0

Reorder the terms:
(4 + -2x + -3x2) + -1(1x2 + -5x + -6) + -1(4x2 + 3x + -8) = 0

Remove parenthesis around (4 + -2x + -3x2)
4 + -2x + -3x2 + -1(1x2 + -5x + -6) + -1(4x2 + 3x + -8) = 0

Reorder the terms:
4 + -2x + -3x2 + -1(-6 + -5x + 1x2) + -1(4x2 + 3x + -8) = 0
4 + -2x + -3x2 + (-6 * -1 + -5x * -1 + 1x2 * -1) + -1(4x2 + 3x + -8) = 0
4 + -2x + -3x2 + (6 + 5x + -1x2) + -1(4x2 + 3x + -8) = 0

Reorder the terms:
4 + -2x + -3x2 + 6 + 5x + -1x2 + -1(-8 + 3x + 4x2) = 0
4 + -2x + -3x2 + 6 + 5x + -1x2 + (-8 * -1 + 3x * -1 + 4x2 * -1) = 0
4 + -2x + -3x2 + 6 + 5x + -1x2 + (8 + -3x + -4x2) = 0

Reorder the terms:
4 + 6 + 8 + -2x + 5x + -3x + -3x2 + -1x2 + -4x2 = 0

Combine like terms: 4 + 6 = 10
10 + 8 + -2x + 5x + -3x + -3x2 + -1x2 + -4x2 = 0

Combine like terms: 10 + 8 = 18
18 + -2x + 5x + -3x + -3x2 + -1x2 + -4x2 = 0

Combine like terms: -2x + 5x = 3x
18 + 3x + -3x + -3x2 + -1x2 + -4x2 = 0

Combine like terms: 3x + -3x = 0
18 + 0 + -3x2 + -1x2 + -4x2 = 0
18 + -3x2 + -1x2 + -4x2 = 0

Combine like terms: -3x2 + -1x2 = -4x2
18 + -4x2 + -4x2 = 0

Combine like terms: -4x2 + -4x2 = -8x2
18 + -8x2 = 0

Solving
18 + -8x2 = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -8x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -8x2 = 0 + -18
-8x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-8x2 = -18

Divide each side by '-8'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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