(2x+9)(6x-4)=

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Solution for (2x+9)(6x-4)= equation: 


Simplifying
(2x + 9)(6x + -4) = 0

Reorder the terms:
(9 + 2x)(6x + -4) = 0

Reorder the terms:
(9 + 2x)(-4 + 6x) = 0

Multiply (9 + 2x) * (-4 + 6x)
(9(-4 + 6x) + 2x * (-4 + 6x)) = 0
((-4 * 9 + 6x * 9) + 2x * (-4 + 6x)) = 0
((-36 + 54x) + 2x * (-4 + 6x)) = 0
(-36 + 54x + (-4 * 2x + 6x * 2x)) = 0
(-36 + 54x + (-8x + 12x2)) = 0

Combine like terms: 54x + -8x = 46x
(-36 + 46x + 12x2) = 0

Solving
-36 + 46x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 23x + 6x2) = 0

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

Ignore the factor 2.

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

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 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 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
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
Solution
x = {-4.5, 0.6666666667}

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