x^2+122x-248=0

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Solution for x^2+122x-248=0 equation:


Simplifying
x2 + 122x + -248 = 0

Reorder the terms:
-248 + 122x + x2 = 0

Solving
-248 + 122x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-124 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-124 + -1x)' equal to zero and attempt to solve: Simplifying -124 + -1x = 0 Solving -124 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '124' to each side of the equation. -124 + 124 + -1x = 0 + 124 Combine like terms: -124 + 124 = 0 0 + -1x = 0 + 124 -1x = 0 + 124 Combine like terms: 0 + 124 = 124 -1x = 124 Divide each side by '-1'. x = -124 Simplifying x = -124

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-124, 2}

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