4s^2-9s+5=0

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Solution for 4s^2-9s+5=0 equation:


Simplifying
4s2 + -9s + 5 = 0

Reorder the terms:
5 + -9s + 4s2 = 0

Solving
5 + -9s + 4s2 = 0

Solving for variable 's'.

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

Subproblem 1

Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 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 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1

Subproblem 2

Set the factor '(5 + -4s)' equal to zero and attempt to solve: Simplifying 5 + -4s = 0 Solving 5 + -4s = 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 + -4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4s = 0 + -5 -4s = 0 + -5 Combine like terms: 0 + -5 = -5 -4s = -5 Divide each side by '-4'. s = 1.25 Simplifying s = 1.25

Solution

s = {1, 1.25}

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