(5x-3)*(5x-3)-9=0

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Solution for (5x-3)*(5x-3)-9=0 equation: 


Simplifying
(5x + -3)(5x + -3) + -9 = 0

Reorder the terms:
(-3 + 5x)(5x + -3) + -9 = 0

Reorder the terms:
(-3 + 5x)(-3 + 5x) + -9 = 0

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

Combine like terms: -15x + -15x = -30x
(9 + -30x + 25x2) + -9 = 0

Reorder the terms:
9 + -9 + -30x + 25x2 = 0

Combine like terms: 9 + -9 = 0
0 + -30x + 25x2 = 0
-30x + 25x2 = 0

Solving
-30x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-6 + 5x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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
Solution
x = {0, 1.2}

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