(3x-5)(5x-6)=

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Solution for (3x-5)(5x-6)= equation: 


Simplifying
(3x + -5)(5x + -6) = 0

Reorder the terms:
(-5 + 3x)(5x + -6) = 0

Reorder the terms:
(-5 + 3x)(-6 + 5x) = 0

Multiply (-5 + 3x) * (-6 + 5x)
(-5(-6 + 5x) + 3x * (-6 + 5x)) = 0
((-6 * -5 + 5x * -5) + 3x * (-6 + 5x)) = 0
((30 + -25x) + 3x * (-6 + 5x)) = 0
(30 + -25x + (-6 * 3x + 5x * 3x)) = 0
(30 + -25x + (-18x + 15x2)) = 0

Combine like terms: -25x + -18x = -43x
(30 + -43x + 15x2) = 0

Solving
30 + -43x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -5x)(5 + -3x) = 0


Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

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 = {1.2, 1.666666667}

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