(-x+15)(2x-9)=0

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Solution for (-x+15)(2x-9)=0 equation: 


Simplifying
(-1x + 15)(2x + -9) = 0

Reorder the terms:
(15 + -1x)(2x + -9) = 0

Reorder the terms:
(15 + -1x)(-9 + 2x) = 0

Multiply (15 + -1x) * (-9 + 2x)
(15(-9 + 2x) + -1x * (-9 + 2x)) = 0
((-9 * 15 + 2x * 15) + -1x * (-9 + 2x)) = 0
((-135 + 30x) + -1x * (-9 + 2x)) = 0
(-135 + 30x + (-9 * -1x + 2x * -1x)) = 0
(-135 + 30x + (9x + -2x2)) = 0

Combine like terms: 30x + 9x = 39x
(-135 + 39x + -2x2) = 0

Solving
-135 + 39x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + x)(9 + -2x) = 0


Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Simplifying
x = 15

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {15, 4.5}

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