0=x^2+10x

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Solution for 0=x^2+10x equation:


Simplifying
0 = x2 + 10x

Reorder the terms:
0 = 10x + x2

Solving
0 = 10x + x2

Solving for variable 'x'.
Remove the zero:
-10x + -1x2 = 10x + x2 + -10x + -1x2

Reorder the terms:
-10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
-10x + -1x2 = 0 + x2 + -1x2
-10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(10 + 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10

Solution

x = {0, -10}

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