(2x+12)(-4+9x)=

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Solution for (2x+12)(-4+9x)= equation:


Simplifying
(2x + 12)(-4 + 9x) = 0

Reorder the terms:
(12 + 2x)(-4 + 9x) = 0

Multiply (12 + 2x) * (-4 + 9x)
(12(-4 + 9x) + 2x * (-4 + 9x)) = 0
((-4 * 12 + 9x * 12) + 2x * (-4 + 9x)) = 0
((-48 + 108x) + 2x * (-4 + 9x)) = 0
(-48 + 108x + (-4 * 2x + 9x * 2x)) = 0
(-48 + 108x + (-8x + 18x2)) = 0

Combine like terms: 108x + -8x = 100x
(-48 + 100x + 18x2) = 0

Solving
-48 + 100x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 50x + 9x2) = 0

Factor a trinomial.
2((-6 + -1x)(4 + -9x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {-6, 0.4444444444}

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