s*s-3s-10=0

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Solution for s*s-3s-10=0 equation:


Simplifying
s * s + -3s + -10 = 0

Multiply s * s
s2 + -3s + -10 = 0

Reorder the terms:
-10 + -3s + s2 = 0

Solving
-10 + -3s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-2 + -1s)(5 + -1s) = 0

Subproblem 1

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

Subproblem 2

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

Solution

s = {-2, 5}

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