(X-9)(3X+5)=0

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Solution for (X-9)(3X+5)=0 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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