(-3x+2)(9x+5)=

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Solution for (-3x+2)(9x+5)= equation: 


Simplifying
(-3x + 2)(9x + 5) = 0

Reorder the terms:
(2 + -3x)(9x + 5) = 0

Reorder the terms:
(2 + -3x)(5 + 9x) = 0

Multiply (2 + -3x) * (5 + 9x)
(2(5 + 9x) + -3x * (5 + 9x)) = 0
((5 * 2 + 9x * 2) + -3x * (5 + 9x)) = 0
((10 + 18x) + -3x * (5 + 9x)) = 0
(10 + 18x + (5 * -3x + 9x * -3x)) = 0
(10 + 18x + (-15x + -27x2)) = 0

Combine like terms: 18x + -15x = 3x
(10 + 3x + -27x2) = 0

Solving
10 + 3x + -27x2 = 0

Solving for variable 'x'.

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


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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
Set the factor '(5 + 9x)' equal to zero and attempt to solve:

Simplifying
5 + 9x = 0

Solving
5 + 9x = 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 + 9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = 0 + -5
9x = 0 + -5

Combine like terms: 0 + -5 = -5
9x = -5

Divide each side by '9'.
x = -0.5555555556

Simplifying
x = -0.5555555556
Solution
x = {0.6666666667, -0.5555555556}

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