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

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


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

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

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

Multiply (5 + x) * (-5 + x)
7x(5(-5 + x) + x(-5 + x)) = 0
7x((-5 * 5 + x * 5) + x(-5 + x)) = 0
7x((-25 + 5x) + x(-5 + x)) = 0
7x(-25 + 5x + (-5 * x + x * x)) = 0
7x(-25 + 5x + (-5x + x2)) = 0

Combine like terms: 5x + -5x = 0
7x(-25 + 0 + x2) = 0
7x(-25 + x2) = 0
(-25 * 7x + x2 * 7x) = 0
(-175x + 7x3) = 0

Solving
-175x + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-25 + x2) = 0

Factor a difference between two squares.
7x((5 + x)(-5 + x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5

Subproblem 3
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

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

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

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

Simplifying
x = 5
Solution
x = {0, -5, 5}

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