(x-9)(3x+2)=

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Solution for (x-9)(3x+2)= equation:


Simplifying
(x + -9)(3x + 2) = 0

Reorder the terms:
(-9 + x)(3x + 2) = 0

Reorder the terms:
(-9 + x)(2 + 3x) = 0

Multiply (-9 + x) * (2 + 3x)
(-9(2 + 3x) + x(2 + 3x)) = 0
((2 * -9 + 3x * -9) + x(2 + 3x)) = 0
((-18 + -27x) + x(2 + 3x)) = 0
(-18 + -27x + (2 * x + 3x * x)) = 0
(-18 + -27x + (2x + 3x2)) = 0

Combine like terms: -27x + 2x = -25x
(-18 + -25x + 3x2) = 0

Solving
-18 + -25x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(9 + -1x) = 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-0.6666666667, 9}

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