(2s-5)(7s+9)=0

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Solution for (2s-5)(7s+9)=0 equation:


Simplifying
(2s + -5)(7s + 9) = 0

Reorder the terms:
(-5 + 2s)(7s + 9) = 0

Reorder the terms:
(-5 + 2s)(9 + 7s) = 0

Multiply (-5 + 2s) * (9 + 7s)
(-5(9 + 7s) + 2s * (9 + 7s)) = 0
((9 * -5 + 7s * -5) + 2s * (9 + 7s)) = 0
((-45 + -35s) + 2s * (9 + 7s)) = 0
(-45 + -35s + (9 * 2s + 7s * 2s)) = 0
(-45 + -35s + (18s + 14s2)) = 0

Combine like terms: -35s + 18s = -17s
(-45 + -17s + 14s2) = 0

Solving
-45 + -17s + 14s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-9 + -7s)(5 + -2s) = 0

Subproblem 1

Set the factor '(-9 + -7s)' equal to zero and attempt to solve: Simplifying -9 + -7s = 0 Solving -9 + -7s = 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 + -7s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7s = 0 + 9 -7s = 0 + 9 Combine like terms: 0 + 9 = 9 -7s = 9 Divide each side by '-7'. s = -1.285714286 Simplifying s = -1.285714286

Subproblem 2

Set the factor '(5 + -2s)' equal to zero and attempt to solve: Simplifying 5 + -2s = 0 Solving 5 + -2s = 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 + -2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2s = 0 + -5 -2s = 0 + -5 Combine like terms: 0 + -5 = -5 -2s = -5 Divide each side by '-2'. s = 2.5 Simplifying s = 2.5

Solution

s = {-1.285714286, 2.5}

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