(4x-9)(3x+1)=

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Solution for (4x-9)(3x+1)= equation:


Simplifying
(4x + -9)(3x + 1) = 0

Reorder the terms:
(-9 + 4x)(3x + 1) = 0

Reorder the terms:
(-9 + 4x)(1 + 3x) = 0

Multiply (-9 + 4x) * (1 + 3x)
(-9(1 + 3x) + 4x * (1 + 3x)) = 0
((1 * -9 + 3x * -9) + 4x * (1 + 3x)) = 0
((-9 + -27x) + 4x * (1 + 3x)) = 0
(-9 + -27x + (1 * 4x + 3x * 4x)) = 0
(-9 + -27x + (4x + 12x2)) = 0

Combine like terms: -27x + 4x = -23x
(-9 + -23x + 12x2) = 0

Solving
-9 + -23x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(9 + -4x) = 0

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

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 = {-0.3333333333, 2.25}

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