(4x-9)(3x+8)=

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Solution for (4x-9)(3x+8)= equation:


Simplifying
(4x + -9)(3x + 8) = 0

Reorder the terms:
(-9 + 4x)(3x + 8) = 0

Reorder the terms:
(-9 + 4x)(8 + 3x) = 0

Multiply (-9 + 4x) * (8 + 3x)
(-9(8 + 3x) + 4x * (8 + 3x)) = 0
((8 * -9 + 3x * -9) + 4x * (8 + 3x)) = 0
((-72 + -27x) + 4x * (8 + 3x)) = 0
(-72 + -27x + (8 * 4x + 3x * 4x)) = 0
(-72 + -27x + (32x + 12x2)) = 0

Combine like terms: -27x + 32x = 5x
(-72 + 5x + 12x2) = 0

Solving
-72 + 5x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(9 + -4x) = 0

Subproblem 1

Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667

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 = {-2.666666667, 2.25}

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