x^2+6x=952

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Solution for x^2+6x=952 equation:


Simplifying
x2 + 6x = 952

Reorder the terms:
6x + x2 = 952

Solving
6x + x2 = 952

Solving for variable 'x'.

Reorder the terms:
-952 + 6x + x2 = 952 + -952

Combine like terms: 952 + -952 = 0
-952 + 6x + x2 = 0

Factor a trinomial.
(-34 + -1x)(28 + -1x) = 0

Subproblem 1

Set the factor '(-34 + -1x)' equal to zero and attempt to solve: Simplifying -34 + -1x = 0 Solving -34 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -1x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -1x = 0 + 34 -1x = 0 + 34 Combine like terms: 0 + 34 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34

Subproblem 2

Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28

Solution

x = {-34, 28}

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