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

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


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

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

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

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

Combine like terms: -9x + -15x = -24x
(9 + -24x + 15x2) = 0

Solving
9 + -24x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + -8x + 5x2) = 0

Factor a trinomial.
3((3 + -5x)(1 + -1x)) = 0

Ignore the factor 3.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.6, 1}

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