(-8x^3+7x^2-3x+4)+(9x^3+6x^2+3x-4)=

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Solution for (-8x^3+7x^2-3x+4)+(9x^3+6x^2+3x-4)= equation: 


Simplifying
(-8x3 + 7x2 + -3x + 4) + (9x3 + 6x2 + 3x + -4) = 0

Reorder the terms:
(4 + -3x + 7x2 + -8x3) + (9x3 + 6x2 + 3x + -4) = 0

Remove parenthesis around (4 + -3x + 7x2 + -8x3)
4 + -3x + 7x2 + -8x3 + (9x3 + 6x2 + 3x + -4) = 0

Reorder the terms:
4 + -3x + 7x2 + -8x3 + (-4 + 3x + 6x2 + 9x3) = 0

Remove parenthesis around (-4 + 3x + 6x2 + 9x3)
4 + -3x + 7x2 + -8x3 + -4 + 3x + 6x2 + 9x3 = 0

Reorder the terms:
4 + -4 + -3x + 3x + 7x2 + 6x2 + -8x3 + 9x3 = 0

Combine like terms: 4 + -4 = 0
0 + -3x + 3x + 7x2 + 6x2 + -8x3 + 9x3 = 0
-3x + 3x + 7x2 + 6x2 + -8x3 + 9x3 = 0

Combine like terms: -3x + 3x = 0
0 + 7x2 + 6x2 + -8x3 + 9x3 = 0
7x2 + 6x2 + -8x3 + 9x3 = 0

Combine like terms: 7x2 + 6x2 = 13x2
13x2 + -8x3 + 9x3 = 0

Combine like terms: -8x3 + 9x3 = 1x3
13x2 + 1x3 = 0

Solving
13x2 + 1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(13 + x) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

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

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {0, -13}

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