(3x-2)(3x-4)=

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Solution for (3x-2)(3x-4)= equation:


Simplifying
(3x + -2)(3x + -4) = 0

Reorder the terms:
(-2 + 3x)(3x + -4) = 0

Reorder the terms:
(-2 + 3x)(-4 + 3x) = 0

Multiply (-2 + 3x) * (-4 + 3x)
(-2(-4 + 3x) + 3x * (-4 + 3x)) = 0
((-4 * -2 + 3x * -2) + 3x * (-4 + 3x)) = 0
((8 + -6x) + 3x * (-4 + 3x)) = 0
(8 + -6x + (-4 * 3x + 3x * 3x)) = 0
(8 + -6x + (-12x + 9x2)) = 0

Combine like terms: -6x + -12x = -18x
(8 + -18x + 9x2) = 0

Solving
8 + -18x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -3x)(4 + -3x) = 0

Subproblem 1

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

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 = {0.6666666667, 1.333333333}

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