175=(x)(x+2)(5)

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Solution for 175=(x)(x+2)(5) equation: 


Simplifying
175 = (x)(x + 2)(5)

Reorder the terms:
175 = x(2 + x)(5)

Reorder the terms for easier multiplication:
175 = 5x(2 + x)
175 = (2 * 5x + x * 5x)
175 = (10x + 5x2)

Solving
175 = 10x + 5x2

Solving for variable 'x'.

Reorder the terms:
175 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2

Combine like terms: 10x + -10x = 0
175 + -10x + -5x2 = 0 + 5x2 + -5x2
175 + -10x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
175 + -10x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(35 + -2x + -1x2) = 0

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

Ignore the factor 5.

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

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

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

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

Simplifying
x = -7
Solution
x = {5, -7}

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