(x-9)(3x+5)=

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Solution for (x-9)(3x+5)= equation:


Simplifying
(x + -9)(3x + 5) = 0

Reorder the terms:
(-9 + x)(3x + 5) = 0

Reorder the terms:
(-9 + x)(5 + 3x) = 0

Multiply (-9 + x) * (5 + 3x)
(-9(5 + 3x) + x(5 + 3x)) = 0
((5 * -9 + 3x * -9) + x(5 + 3x)) = 0
((-45 + -27x) + x(5 + 3x)) = 0
(-45 + -27x + (5 * x + 3x * x)) = 0
(-45 + -27x + (5x + 3x2)) = 0

Combine like terms: -27x + 5x = -22x
(-45 + -22x + 3x2) = 0

Solving
-45 + -22x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667

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 = {-1.666666667, 9}

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