(2x-15)(9x-10)=0

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Solution for (2x-15)(9x-10)=0 equation: 


Simplifying
(2x + -15)(9x + -10) = 0

Reorder the terms:
(-15 + 2x)(9x + -10) = 0

Reorder the terms:
(-15 + 2x)(-10 + 9x) = 0

Multiply (-15 + 2x) * (-10 + 9x)
(-15(-10 + 9x) + 2x * (-10 + 9x)) = 0
((-10 * -15 + 9x * -15) + 2x * (-10 + 9x)) = 0
((150 + -135x) + 2x * (-10 + 9x)) = 0
(150 + -135x + (-10 * 2x + 9x * 2x)) = 0
(150 + -135x + (-20x + 18x2)) = 0

Combine like terms: -135x + -20x = -155x
(150 + -155x + 18x2) = 0

Solving
150 + -155x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -9x)(15 + -2x) = 0


Subproblem 1
Set the factor '(10 + -9x)' equal to zero and attempt to solve:

Simplifying
10 + -9x = 0

Solving
10 + -9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 0 + -10
-9x = 0 + -10

Combine like terms: 0 + -10 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111

Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying
15 + -2x = 0

Solving
15 + -2x = 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 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15

Combine like terms: 0 + -15 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5
Solution
x = {1.111111111, 7.5}

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