(15x-5)(15x+5)=225x-25

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Solution for (15x-5)(15x+5)=225x-25 equation: 


Simplifying
(15x + -5)(15x + 5) = 225x + -25

Reorder the terms:
(-5 + 15x)(15x + 5) = 225x + -25

Reorder the terms:
(-5 + 15x)(5 + 15x) = 225x + -25

Multiply (-5 + 15x) * (5 + 15x)
(-5(5 + 15x) + 15x * (5 + 15x)) = 225x + -25
((5 * -5 + 15x * -5) + 15x * (5 + 15x)) = 225x + -25
((-25 + -75x) + 15x * (5 + 15x)) = 225x + -25
(-25 + -75x + (5 * 15x + 15x * 15x)) = 225x + -25
(-25 + -75x + (75x + 225x2)) = 225x + -25

Combine like terms: -75x + 75x = 0
(-25 + 0 + 225x2) = 225x + -25
(-25 + 225x2) = 225x + -25

Reorder the terms:
-25 + 225x2 = -25 + 225x

Add '25' to each side of the equation.
-25 + 25 + 225x2 = -25 + 25 + 225x

Combine like terms: -25 + 25 = 0
0 + 225x2 = -25 + 25 + 225x
225x2 = -25 + 25 + 225x

Combine like terms: -25 + 25 = 0
225x2 = 0 + 225x
225x2 = 225x

Solving
225x2 = 225x

Solving for variable 'x'.

Reorder the terms:
-225x + 225x2 = 225x + -225x

Combine like terms: 225x + -225x = 0
-225x + 225x2 = 0

Factor out the Greatest Common Factor (GCF), '225x'.
225x(-1 + x) = 0

Ignore the factor 225.

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

Simplifying
-1 + x = 0

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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