(3x-15)(15x-3)=0

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Solution for (3x-15)(15x-3)=0 equation: 


Simplifying
(3x + -15)(15x + -3) = 0

Reorder the terms:
(-15 + 3x)(15x + -3) = 0

Reorder the terms:
(-15 + 3x)(-3 + 15x) = 0

Multiply (-15 + 3x) * (-3 + 15x)
(-15(-3 + 15x) + 3x * (-3 + 15x)) = 0
((-3 * -15 + 15x * -15) + 3x * (-3 + 15x)) = 0
((45 + -225x) + 3x * (-3 + 15x)) = 0
(45 + -225x + (-3 * 3x + 15x * 3x)) = 0
(45 + -225x + (-9x + 45x2)) = 0

Combine like terms: -225x + -9x = -234x
(45 + -234x + 45x2) = 0

Solving
45 + -234x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(5 + -26x + 5x2) = 0

Factor a trinomial.
9((1 + -5x)(5 + -1x)) = 0

Ignore the factor 9.

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.2, 5}

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