2x(x^2-2)+7x=9x+2x

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Solution for 2x(x^2-2)+7x=9x+2x equation: 


Simplifying
2x(x2 + -2) + 7x = 9x + 2x

Reorder the terms:
2x(-2 + x2) + 7x = 9x + 2x
(-2 * 2x + x2 * 2x) + 7x = 9x + 2x
(-4x + 2x3) + 7x = 9x + 2x

Reorder the terms:
-4x + 7x + 2x3 = 9x + 2x

Combine like terms: -4x + 7x = 3x
3x + 2x3 = 9x + 2x

Combine like terms: 9x + 2x = 11x
3x + 2x3 = 11x

Solving
3x + 2x3 = 11x

Solving for variable 'x'.

Reorder the terms:
3x + -11x + 2x3 = 11x + -11x

Combine like terms: 3x + -11x = -8x
-8x + 2x3 = 11x + -11x

Combine like terms: 11x + -11x = 0
-8x + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + x2) = 0

Factor a difference between two squares.
2x((2 + x)(-2 + x)) = 0

Ignore the factor 2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2
Solution
x = {0, -2, 2}

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