6s^2+13s-28=0

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Solution for 6s^2+13s-28=0 equation:


Simplifying
6s2 + 13s + -28 = 0

Reorder the terms:
-28 + 13s + 6s2 = 0

Solving
-28 + 13s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -2s)(4 + -3s) = 0

Subproblem 1

Set the factor '(-7 + -2s)' equal to zero and attempt to solve: Simplifying -7 + -2s = 0 Solving -7 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2s = 0 + 7 -2s = 0 + 7 Combine like terms: 0 + 7 = 7 -2s = 7 Divide each side by '-2'. s = -3.5 Simplifying s = -3.5

Subproblem 2

Set the factor '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 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 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333

Solution

s = {-3.5, 1.333333333}

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