3s^2=10s+8

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Solution for 3s^2=10s+8 equation:


Simplifying
3s2 = 10s + 8

Reorder the terms:
3s2 = 8 + 10s

Solving
3s2 = 8 + 10s

Solving for variable 's'.

Reorder the terms:
-8 + -10s + 3s2 = 8 + 10s + -8 + -10s

Reorder the terms:
-8 + -10s + 3s2 = 8 + -8 + 10s + -10s

Combine like terms: 8 + -8 = 0
-8 + -10s + 3s2 = 0 + 10s + -10s
-8 + -10s + 3s2 = 10s + -10s

Combine like terms: 10s + -10s = 0
-8 + -10s + 3s2 = 0

Factor a trinomial.
(-2 + -3s)(4 + -1s) = 0

Subproblem 1

Set the factor '(-2 + -3s)' equal to zero and attempt to solve: Simplifying -2 + -3s = 0 Solving -2 + -3s = 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 + -3s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3s = 0 + 2 -3s = 0 + 2 Combine like terms: 0 + 2 = 2 -3s = 2 Divide each side by '-3'. s = -0.6666666667 Simplifying s = -0.6666666667

Subproblem 2

Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4

Solution

s = {-0.6666666667, 4}

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