(3x+4)(4x-9)=

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Solution for (3x+4)(4x-9)= equation: 


Simplifying
(3x + 4)(4x + -9) = 0

Reorder the terms:
(4 + 3x)(4x + -9) = 0

Reorder the terms:
(4 + 3x)(-9 + 4x) = 0

Multiply (4 + 3x) * (-9 + 4x)
(4(-9 + 4x) + 3x * (-9 + 4x)) = 0
((-9 * 4 + 4x * 4) + 3x * (-9 + 4x)) = 0
((-36 + 16x) + 3x * (-9 + 4x)) = 0
(-36 + 16x + (-9 * 3x + 4x * 3x)) = 0
(-36 + 16x + (-27x + 12x2)) = 0

Combine like terms: 16x + -27x = -11x
(-36 + -11x + 12x2) = 0

Solving
-36 + -11x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -3x)(9 + -4x) = 0


Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

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

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

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {-1.333333333, 2.25}

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