(9s-5)8s+3(9s-5)=0

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Solution for (9s-5)8s+3(9s-5)=0 equation:


Simplifying
(9s + -5) * 8s + 3(9s + -5) = 0

Reorder the terms:
(-5 + 9s) * 8s + 3(9s + -5) = 0

Reorder the terms for easier multiplication:
8s(-5 + 9s) + 3(9s + -5) = 0
(-5 * 8s + 9s * 8s) + 3(9s + -5) = 0
(-40s + 72s2) + 3(9s + -5) = 0

Reorder the terms:
-40s + 72s2 + 3(-5 + 9s) = 0
-40s + 72s2 + (-5 * 3 + 9s * 3) = 0
-40s + 72s2 + (-15 + 27s) = 0

Reorder the terms:
-15 + -40s + 27s + 72s2 = 0

Combine like terms: -40s + 27s = -13s
-15 + -13s + 72s2 = 0

Solving
-15 + -13s + 72s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-3 + -8s)(5 + -9s) = 0

Subproblem 1

Set the factor '(-3 + -8s)' equal to zero and attempt to solve: Simplifying -3 + -8s = 0 Solving -3 + -8s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8s = 0 + 3 -8s = 0 + 3 Combine like terms: 0 + 3 = 3 -8s = 3 Divide each side by '-8'. s = -0.375 Simplifying s = -0.375

Subproblem 2

Set the factor '(5 + -9s)' equal to zero and attempt to solve: Simplifying 5 + -9s = 0 Solving 5 + -9s = 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 + -9s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9s = 0 + -5 -9s = 0 + -5 Combine like terms: 0 + -5 = -5 -9s = -5 Divide each side by '-9'. s = 0.5555555556 Simplifying s = 0.5555555556

Solution

s = {-0.375, 0.5555555556}

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