(x-9)*(6x+15)=

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Solution for (x-9)*(6x+15)= equation: 


Simplifying
(x + -9)(6x + 15) = 0

Reorder the terms:
(-9 + x)(6x + 15) = 0

Reorder the terms:
(-9 + x)(15 + 6x) = 0

Multiply (-9 + x) * (15 + 6x)
(-9(15 + 6x) + x(15 + 6x)) = 0
((15 * -9 + 6x * -9) + x(15 + 6x)) = 0
((-135 + -54x) + x(15 + 6x)) = 0
(-135 + -54x + (15 * x + 6x * x)) = 0
(-135 + -54x + (15x + 6x2)) = 0

Combine like terms: -54x + 15x = -39x
(-135 + -39x + 6x2) = 0

Solving
-135 + -39x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-45 + -13x + 2x2) = 0

Factor a trinomial.
3((-5 + -2x)(9 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-2.5, 9}

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