0=x(x+21)

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Solution for 0=x(x+21) equation:


Simplifying
0 = x(x + 21)

Reorder the terms:
0 = x(21 + x)
0 = (21 * x + x * x)
0 = (21x + x2)

Solving
0 = 21x + x2

Solving for variable 'x'.
Remove the zero:
-21x + -1x2 = 21x + x2 + -21x + -1x2

Reorder the terms:
-21x + -1x2 = 21x + -21x + x2 + -1x2

Combine like terms: 21x + -21x = 0
-21x + -1x2 = 0 + x2 + -1x2
-21x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-21x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(21 + x) = 0

Ignore the factor -1.

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 '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21

Solution

x = {0, -21}

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