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

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


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

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

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

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

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

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

Solving for variable 'x'.

Combine like terms: 0 + 45 = 45
45 + 22x + -3x2 = -45 + -22x + 3x2 + 45 + 22x + -3x2

Reorder the terms:
45 + 22x + -3x2 = -45 + 45 + -22x + 22x + 3x2 + -3x2

Combine like terms: -45 + 45 = 0
45 + 22x + -3x2 = 0 + -22x + 22x + 3x2 + -3x2
45 + 22x + -3x2 = -22x + 22x + 3x2 + -3x2

Combine like terms: -22x + 22x = 0
45 + 22x + -3x2 = 0 + 3x2 + -3x2
45 + 22x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
45 + 22x + -3x2 = 0

Factor a trinomial.
(9 + -1x)(5 + 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 '(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
Solution
x = {9, -1.666666667}

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