X^2(X+7)=0

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Solution for X^2(X+7)=0 equation: 


Simplifying
X2(X + 7) = 0

Reorder the terms:
X2(7 + X) = 0
(7 * X2 + X * X2) = 0
(7X2 + X3) = 0

Solving
7X2 + X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(7 + X) = 0


Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
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
Solution
X = {0, -7}

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