(100x-100)(3x+15)=0

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Solution for (100x-100)(3x+15)=0 equation: 


Simplifying
(100x + -100)(3x + 15) = 0

Reorder the terms:
(-100 + 100x)(3x + 15) = 0

Reorder the terms:
(-100 + 100x)(15 + 3x) = 0

Multiply (-100 + 100x) * (15 + 3x)
(-100(15 + 3x) + 100x * (15 + 3x)) = 0
((15 * -100 + 3x * -100) + 100x * (15 + 3x)) = 0
((-1500 + -300x) + 100x * (15 + 3x)) = 0
(-1500 + -300x + (15 * 100x + 3x * 100x)) = 0
(-1500 + -300x + (1500x + 300x2)) = 0

Combine like terms: -300x + 1500x = 1200x
(-1500 + 1200x + 300x2) = 0

Solving
-1500 + 1200x + 300x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '300'.
300(-5 + 4x + x2) = 0

Factor a trinomial.
300((-5 + -1x)(1 + -1x)) = 0

Ignore the factor 300.

Subproblem 1
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

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 = {-5, 1}

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