-5x(x+3)(5x-3)=

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Solution for -5x(x+3)(5x-3)= equation: 


Simplifying
-5x(x + 3)(5x + -3) = 0

Reorder the terms:
-5x(3 + x)(5x + -3) = 0

Reorder the terms:
-5x(3 + x)(-3 + 5x) = 0

Multiply (3 + x) * (-3 + 5x)
-5x(3(-3 + 5x) + x(-3 + 5x)) = 0
-5x((-3 * 3 + 5x * 3) + x(-3 + 5x)) = 0
-5x((-9 + 15x) + x(-3 + 5x)) = 0
-5x(-9 + 15x + (-3 * x + 5x * x)) = 0
-5x(-9 + 15x + (-3x + 5x2)) = 0

Combine like terms: 15x + -3x = 12x
-5x(-9 + 12x + 5x2) = 0
(-9 * -5x + 12x * -5x + 5x2 * -5x) = 0
(45x + -60x2 + -25x3) = 0

Solving
45x + -60x2 + -25x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(9 + -12x + -5x2) = 0

Factor a trinomial.
5x((3 + -5x)(3 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, 0.6, -3}

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