x^2+6x=-7x

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Solution for x^2+6x=-7x equation:


Simplifying
x2 + 6x = -7x

Reorder the terms:
6x + x2 = -7x

Solving
6x + x2 = -7x

Solving for variable 'x'.

Reorder the terms:
6x + 7x + x2 = -7x + 7x

Combine like terms: 6x + 7x = 13x
13x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
13x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 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 '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13

Solution

x = {0, -13}

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