45x^3+93x^2=0

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Solution for 45x^3+93x^2=0 equation: 


Simplifying
45x3 + 93x2 = 0

Reorder the terms:
93x2 + 45x3 = 0

Solving
93x2 + 45x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(31 + 15x) = 0

Ignore the factor 3.

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 '(31 + 15x)' equal to zero and attempt to solve:

Simplifying
31 + 15x = 0

Solving
31 + 15x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 15x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 15x = 0 + -31
15x = 0 + -31

Combine like terms: 0 + -31 = -31
15x = -31

Divide each side by '15'.
x = -2.066666667

Simplifying
x = -2.066666667
Solution
x = {0, -2.066666667}

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