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

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


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

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

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

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

Combine like terms: 36x + -12x = 24x
(-54 + 24x + 8x2) = 0

Solving
-54 + 24x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + 12x + 4x2) = 0

Factor a trinomial.
2((-9 + -2x)(3 + -2x)) = 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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-4.5, 1.5}

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