10s^2+43s-9=0

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Solution for 10s^2+43s-9=0 equation:


Simplifying
10s2 + 43s + -9 = 0

Reorder the terms:
-9 + 43s + 10s2 = 0

Solving
-9 + 43s + 10s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-9 + -2s)(1 + -5s) = 0

Subproblem 1

Set the factor '(-9 + -2s)' equal to zero and attempt to solve: Simplifying -9 + -2s = 0 Solving -9 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2s = 0 + 9 -2s = 0 + 9 Combine like terms: 0 + 9 = 9 -2s = 9 Divide each side by '-2'. s = -4.5 Simplifying s = -4.5

Subproblem 2

Set the factor '(1 + -5s)' equal to zero and attempt to solve: Simplifying 1 + -5s = 0 Solving 1 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5s = 0 + -1 -5s = 0 + -1 Combine like terms: 0 + -1 = -1 -5s = -1 Divide each side by '-5'. s = 0.2 Simplifying s = 0.2

Solution

s = {-4.5, 0.2}

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