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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-2.25, 1.333333333}

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