7(x+15)(x-20)=0

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Solution for 7(x+15)(x-20)=0 equation: 


Simplifying
7(x + 15)(x + -20) = 0

Reorder the terms:
7(15 + x)(x + -20) = 0

Reorder the terms:
7(15 + x)(-20 + x) = 0

Multiply (15 + x) * (-20 + x)
7(15(-20 + x) + x(-20 + x)) = 0
7((-20 * 15 + x * 15) + x(-20 + x)) = 0
7((-300 + 15x) + x(-20 + x)) = 0
7(-300 + 15x + (-20 * x + x * x)) = 0
7(-300 + 15x + (-20x + x2)) = 0

Combine like terms: 15x + -20x = -5x
7(-300 + -5x + x2) = 0
(-300 * 7 + -5x * 7 + x2 * 7) = 0
(-2100 + -35x + 7x2) = 0

Solving
-2100 + -35x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-300 + -5x + x2) = 0

Factor a trinomial.
7((-15 + -1x)(20 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-15, 20}

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