(x+7)x(x-7)=

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


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

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

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

Reorder the terms for easier multiplication:
x(7 + x)(-7 + x) = 0

Multiply (7 + x) * (-7 + x)
x(7(-7 + x) + x(-7 + x)) = 0
x((-7 * 7 + x * 7) + x(-7 + x)) = 0
x((-49 + 7x) + x(-7 + x)) = 0
x(-49 + 7x + (-7 * x + x * x)) = 0
x(-49 + 7x + (-7x + x2)) = 0

Combine like terms: 7x + -7x = 0
x(-49 + 0 + x2) = 0
x(-49 + x2) = 0
(-49 * x + x2 * x) = 0
(-49x + x3) = 0

Solving
-49x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-49 + x2) = 0

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


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 '(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

Subproblem 3
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 = {0, -7, 7}

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