(8x^2-5x^3)-(2x^2-8x^2)=0

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Solution for (8x^2-5x^3)-(2x^2-8x^2)=0 equation: 


Simplifying
(8x2 + -5x3) + -1(2x2 + -8x2) = 0

Remove parenthesis around (8x2 + -5x3)
8x2 + -5x3 + -1(2x2 + -8x2) = 0

Combine like terms: 2x2 + -8x2 = -6x2
8x2 + -5x3 + -1(-6x2) = 0

Remove parenthesis around (-6x2)
8x2 + -5x3 + -1 * -6x2 = 0

Multiply -1 * -6
8x2 + -5x3 + 6x2 = 0

Reorder the terms:
8x2 + 6x2 + -5x3 = 0

Combine like terms: 8x2 + 6x2 = 14x2
14x2 + -5x3 = 0

Solving
14x2 + -5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(14 + -5x) = 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 '(14 + -5x)' equal to zero and attempt to solve:

Simplifying
14 + -5x = 0

Solving
14 + -5x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 0 + -14
-5x = 0 + -14

Combine like terms: 0 + -14 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8
Solution
x = {0, 2.8}

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