(6x^3+8x^2)-3x^2=

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


Simplifying
(6x3 + 8x2) + -3x2 = 0

Reorder the terms:
(8x2 + 6x3) + -3x2 = 0

Remove parenthesis around (8x2 + 6x3)
8x2 + 6x3 + -3x2 = 0

Reorder the terms:
8x2 + -3x2 + 6x3 = 0

Combine like terms: 8x2 + -3x2 = 5x2
5x2 + 6x3 = 0

Solving
5x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(5 + 6x) = 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 '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {0, -0.8333333333}

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