(3x+15)(x-1)=0

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Solution for (3x+15)(x-1)=0 equation: 


Simplifying
(3x + 15)(x + -1) = 0

Reorder the terms:
(15 + 3x)(x + -1) = 0

Reorder the terms:
(15 + 3x)(-1 + x) = 0

Multiply (15 + 3x) * (-1 + x)
(15(-1 + x) + 3x * (-1 + x)) = 0
((-1 * 15 + x * 15) + 3x * (-1 + x)) = 0
((-15 + 15x) + 3x * (-1 + x)) = 0
(-15 + 15x + (-1 * 3x + x * 3x)) = 0
(-15 + 15x + (-3x + 3x2)) = 0

Combine like terms: 15x + -3x = 12x
(-15 + 12x + 3x2) = 0

Solving
-15 + 12x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 4x + x2) = 0

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

Ignore the factor 3.

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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