(5x+15)(5x-5)=0

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Solution for (5x+15)(5x-5)=0 equation: 


Simplifying
(5x + 15)(5x + -5) = 0

Reorder the terms:
(15 + 5x)(5x + -5) = 0

Reorder the terms:
(15 + 5x)(-5 + 5x) = 0

Multiply (15 + 5x) * (-5 + 5x)
(15(-5 + 5x) + 5x * (-5 + 5x)) = 0
((-5 * 15 + 5x * 15) + 5x * (-5 + 5x)) = 0
((-75 + 75x) + 5x * (-5 + 5x)) = 0
(-75 + 75x + (-5 * 5x + 5x * 5x)) = 0
(-75 + 75x + (-25x + 25x2)) = 0

Combine like terms: 75x + -25x = 50x
(-75 + 50x + 25x2) = 0

Solving
-75 + 50x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '25'.
25(-3 + 2x + x2) = 0

Factor a trinomial.
25((-3 + -1x)(1 + -1x)) = 0

Ignore the factor 25.

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 1}

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