x^2+26x-3552=0

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Solution for x^2+26x-3552=0 equation:


Simplifying
x2 + 26x + -3552 = 0

Reorder the terms:
-3552 + 26x + x2 = 0

Solving
-3552 + 26x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-74 + -1x)(48 + -1x) = 0

Subproblem 1

Set the factor '(-74 + -1x)' equal to zero and attempt to solve: Simplifying -74 + -1x = 0 Solving -74 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -1x = 0 + 74 Combine like terms: -74 + 74 = 0 0 + -1x = 0 + 74 -1x = 0 + 74 Combine like terms: 0 + 74 = 74 -1x = 74 Divide each side by '-1'. x = -74 Simplifying x = -74

Subproblem 2

Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48

Solution

x = {-74, 48}

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