5(x+15)(7x-5)=0

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Solution for 5(x+15)(7x-5)=0 equation: 


Simplifying
5(x + 15)(7x + -5) = 0

Reorder the terms:
5(15 + x)(7x + -5) = 0

Reorder the terms:
5(15 + x)(-5 + 7x) = 0

Multiply (15 + x) * (-5 + 7x)
5(15(-5 + 7x) + x(-5 + 7x)) = 0
5((-5 * 15 + 7x * 15) + x(-5 + 7x)) = 0
5((-75 + 105x) + x(-5 + 7x)) = 0
5(-75 + 105x + (-5 * x + 7x * x)) = 0
5(-75 + 105x + (-5x + 7x2)) = 0

Combine like terms: 105x + -5x = 100x
5(-75 + 100x + 7x2) = 0
(-75 * 5 + 100x * 5 + 7x2 * 5) = 0
(-375 + 500x + 35x2) = 0

Solving
-375 + 500x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-75 + 100x + 7x2) = 0

Factor a trinomial.
5((-15 + -1x)(5 + -7x)) = 0

Ignore the factor 5.

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 '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {-15, 0.7142857143}

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