X(X+5)=X*-15

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Solution for X(X+5)=X*-15 equation: 


Simplifying
X(X + 5) = X * -15

Reorder the terms:
X(5 + X) = X * -15
(5 * X + X * X) = X * -15
(5X + X2) = X * -15

Reorder the terms for easier multiplication:
5X + X2 = -15X

Solving
5X + X2 = -15X

Solving for variable 'X'.

Reorder the terms:
5X + 15X + X2 = -15X + 15X

Combine like terms: 5X + 15X = 20X
20X + X2 = -15X + 15X

Combine like terms: -15X + 15X = 0
20X + X2 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(20 + 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 '(20 + X)' equal to zero and attempt to solve:

Simplifying
20 + X = 0

Solving
20 + X = 0

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

Add '-20' to each side of the equation.
20 + -20 + X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + X = 0 + -20
X = 0 + -20

Combine like terms: 0 + -20 = -20
X = -20

Simplifying
X = -20
Solution
X = {0, -20}

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