(6s+5)(s-7)=0

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Solution for (6s+5)(s-7)=0 equation:


Simplifying
(6s + 5)(s + -7) = 0

Reorder the terms:
(5 + 6s)(s + -7) = 0

Reorder the terms:
(5 + 6s)(-7 + s) = 0

Multiply (5 + 6s) * (-7 + s)
(5(-7 + s) + 6s * (-7 + s)) = 0
((-7 * 5 + s * 5) + 6s * (-7 + s)) = 0
((-35 + 5s) + 6s * (-7 + s)) = 0
(-35 + 5s + (-7 * 6s + s * 6s)) = 0
(-35 + 5s + (-42s + 6s2)) = 0

Combine like terms: 5s + -42s = -37s
(-35 + -37s + 6s2) = 0

Solving
-35 + -37s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-5 + -6s)(7 + -1s) = 0

Subproblem 1

Set the factor '(-5 + -6s)' equal to zero and attempt to solve: Simplifying -5 + -6s = 0 Solving -5 + -6s = 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 + -6s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6s = 0 + 5 -6s = 0 + 5 Combine like terms: 0 + 5 = 5 -6s = 5 Divide each side by '-6'. s = -0.8333333333 Simplifying s = -0.8333333333

Subproblem 2

Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 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 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7

Solution

s = {-0.8333333333, 7}

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