(4x^3)-(15x^2)=0

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Solution for (4x^3)-(15x^2)=0 equation: 


Simplifying
(4x3) + -1(15x2) = 0

Remove parenthesis around (15x2)
(4x3) + -1 * 15x2 = 0

Multiply -1 * 15
(4x3) + -15x2 = 0

Reorder the terms:
-15x2 + (4x3) = 0

Solving
-15x2 + (4x3) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-15 + (4x)) = 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 '(-15 + (4x))' equal to zero and attempt to solve:

Simplifying
-15 + (4x) = 0

Solving
-15 + (4x) = 0

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

Add '15' to each side of the equation.
-15 + 15 + (4x) = 0 + 15

Combine like terms: -15 + 15 = 0
0 + (4x) = 0 + 15
(4x) = 0 + 15

Combine like terms: 0 + 15 = 15
(4x) = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75
Solution
x = {0, 3.75}

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