9x(2x+15)=-100

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Solution for 9x(2x+15)=-100 equation: 


Simplifying
9x(2x + 15) = -100

Reorder the terms:
9x(15 + 2x) = -100
(15 * 9x + 2x * 9x) = -100
(135x + 18x2) = -100

Solving
135x + 18x2 = -100

Solving for variable 'x'.

Reorder the terms:
100 + 135x + 18x2 = -100 + 100

Combine like terms: -100 + 100 = 0
100 + 135x + 18x2 = 0

Factor a trinomial.
(20 + 3x)(5 + 6x) = 0


Subproblem 1
Set the factor '(20 + 3x)' equal to zero and attempt to solve:

Simplifying
20 + 3x = 0

Solving
20 + 3x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 0 + -20
3x = 0 + -20

Combine like terms: 0 + -20 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667

Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {-6.666666667, -0.8333333333}

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