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

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Solution for (x+9)(3x-2)=0 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.
(-9 + -1x)(2 + -3x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {-9, 0.6666666667}

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