0=(10x*x*x)-(15x*x)

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Solution for 0=(10x*x*x)-(15x*x) equation:


Simplifying
0 = (10x * x * x) + -1(15x * x)

Multiply x * x
0 = (10x2 * x) + -1(15x * x)

Multiply x2 * x
0 = (10x3) + -1(15x * x)

Multiply x * x
0 = (10x3) + -1(15x2)

Remove parenthesis around (15x2)
0 = (10x3) + -1 * 15x2

Multiply -1 * 15
0 = (10x3) + -15x2

Reorder the terms:
0 = -15x2 + (10x3)

Solving
0 = -15x2 + (10x3)

Solving for variable 'x'.
Remove the zero:
15x2 + (-10x3) = -15x2 + (10x3) + 15x2 + (-10x3)

Reorder the terms:
15x2 + (-10x3) = -15x2 + 15x2 + (10x3) + (-10x3)

Combine like terms: -15x2 + 15x2 = 0
15x2 + (-10x3) = 0 + (10x3) + (-10x3)
15x2 + (-10x3) = (10x3) + (-10x3)

Combine like terms: (10x3) + (-10x3) = 0
15x2 + (-10x3) = 0

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(3 + (-2x)) = 0

Ignore the factor 5.

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 '(3 + (-2x))' equal to zero and attempt to solve: Simplifying 3 + (-2x) = 0 Solving 3 + (-2x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + (-2x) = 0 + -3 Combine like terms: 3 + -3 = 0 0 + (-2x) = 0 + -3 (-2x) = 0 + -3 Combine like terms: 0 + -3 = -3 (-2x) = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0, 1.5}

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