(5x-3)(3x-5)=0

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Solution for (5x-3)(3x-5)=0 equation: 


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

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

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

Multiply (-3 + 5x) * (-5 + 3x)
(-3(-5 + 3x) + 5x * (-5 + 3x)) = 0
((-5 * -3 + 3x * -3) + 5x * (-5 + 3x)) = 0
((15 + -9x) + 5x * (-5 + 3x)) = 0
(15 + -9x + (-5 * 5x + 3x * 5x)) = 0
(15 + -9x + (-25x + 15x2)) = 0

Combine like terms: -9x + -25x = -34x
(15 + -34x + 15x2) = 0

Solving
15 + -34x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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 = {0.6, 1.666666667}

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