0=x(x+20)

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Solution for 0=x(x+20) equation:


Simplifying
0 = x(x + 20)

Reorder the terms:
0 = x(20 + x)
0 = (20 * x + x * x)
0 = (20x + x2)

Solving
0 = 20x + x2

Solving for variable 'x'.
Remove the zero:
-20x + -1x2 = 20x + x2 + -20x + -1x2

Reorder the terms:
-20x + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
-20x + -1x2 = 0 + x2 + -1x2
-20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(20 + 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 '(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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