4s^2-32s-260=

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Solution for 4s^2-32s-260= equation:


Simplifying
4s2 + -32s + -260 = 0

Reorder the terms:
-260 + -32s + 4s2 = 0

Solving
-260 + -32s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-65 + -8s + s2) = 0

Factor a trinomial.
4((-5 + -1s)(13 + -1s)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5

Subproblem 2

Set the factor '(13 + -1s)' equal to zero and attempt to solve: Simplifying 13 + -1s = 0 Solving 13 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1s = 0 + -13 -1s = 0 + -13 Combine like terms: 0 + -13 = -13 -1s = -13 Divide each side by '-1'. s = 13 Simplifying s = 13

Solution

s = {-5, 13}

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