(9x+6)(5x-3)=

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Solution for (9x+6)(5x-3)= equation:


Simplifying
(9x + 6)(5x + -3) = 0

Reorder the terms:
(6 + 9x)(5x + -3) = 0

Reorder the terms:
(6 + 9x)(-3 + 5x) = 0

Multiply (6 + 9x) * (-3 + 5x)
(6(-3 + 5x) + 9x * (-3 + 5x)) = 0
((-3 * 6 + 5x * 6) + 9x * (-3 + 5x)) = 0
((-18 + 30x) + 9x * (-3 + 5x)) = 0
(-18 + 30x + (-3 * 9x + 5x * 9x)) = 0
(-18 + 30x + (-27x + 45x2)) = 0

Combine like terms: 30x + -27x = 3x
(-18 + 3x + 45x2) = 0

Solving
-18 + 3x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + x + 15x2) = 0

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

Ignore the factor 3.

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 '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-0.6666666667, 0.6}

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