x^2+6x=667

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Solution for x^2+6x=667 equation:


Simplifying
x2 + 6x = 667

Reorder the terms:
6x + x2 = 667

Solving
6x + x2 = 667

Solving for variable 'x'.

Reorder the terms:
-667 + 6x + x2 = 667 + -667

Combine like terms: 667 + -667 = 0
-667 + 6x + x2 = 0

Factor a trinomial.
(-29 + -1x)(23 + -1x) = 0

Subproblem 1

Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29

Subproblem 2

Set the factor '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23

Solution

x = {-29, 23}

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