(-90-6x)(15x+x^2)=0

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Solution for (-90-6x)(15x+x^2)=0 equation: 


Simplifying
(-90 + -6x)(15x + x2) = 0

Multiply (-90 + -6x) * (15x + x2)
(-90(15x + x2) + -6x * (15x + x2)) = 0
((15x * -90 + x2 * -90) + -6x * (15x + x2)) = 0
((-1350x + -90x2) + -6x * (15x + x2)) = 0
(-1350x + -90x2 + (15x * -6x + x2 * -6x)) = 0
(-1350x + -90x2 + (-90x2 + -6x3)) = 0

Combine like terms: -90x2 + -90x2 = -180x2
(-1350x + -180x2 + -6x3) = 0

Solving
-1350x + -180x2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-6x'.
-6x(225 + 30x + x2) = 0

Factor a trinomial.
-6x((15 + x)(15 + x)) = 0

Ignore the factor -6.

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

Simplifying
15 + x = 0

Solving
15 + x = 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 + x = 0 + -15

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

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

Simplifying
x = -15

Subproblem 3
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 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 + x = 0 + -15

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

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

Simplifying
x = -15
Solution
x = {0, -15, -15}

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