(-3x-10)(-3x+9)=

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Solution for (-3x-10)(-3x+9)= equation: 


Simplifying
(-3x + -10)(-3x + 9) = 0

Reorder the terms:
(-10 + -3x)(-3x + 9) = 0

Reorder the terms:
(-10 + -3x)(9 + -3x) = 0

Multiply (-10 + -3x) * (9 + -3x)
(-10(9 + -3x) + -3x * (9 + -3x)) = 0
((9 * -10 + -3x * -10) + -3x * (9 + -3x)) = 0
((-90 + 30x) + -3x * (9 + -3x)) = 0
(-90 + 30x + (9 * -3x + -3x * -3x)) = 0
(-90 + 30x + (-27x + 9x2)) = 0

Combine like terms: 30x + -27x = 3x
(-90 + 3x + 9x2) = 0

Solving
-90 + 3x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-30 + x + 3x2) = 0

Factor a trinomial.
3((-10 + -3x)(3 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.333333333, 3}

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