(7s-1)(8s+3)=

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Solution for (7s-1)(8s+3)= equation:


Simplifying
(7s + -1)(8s + 3) = 0

Reorder the terms:
(-1 + 7s)(8s + 3) = 0

Reorder the terms:
(-1 + 7s)(3 + 8s) = 0

Multiply (-1 + 7s) * (3 + 8s)
(-1(3 + 8s) + 7s * (3 + 8s)) = 0
((3 * -1 + 8s * -1) + 7s * (3 + 8s)) = 0
((-3 + -8s) + 7s * (3 + 8s)) = 0
(-3 + -8s + (3 * 7s + 8s * 7s)) = 0
(-3 + -8s + (21s + 56s2)) = 0

Combine like terms: -8s + 21s = 13s
(-3 + 13s + 56s2) = 0

Solving
-3 + 13s + 56s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-3 + -8s)(1 + -7s) = 0

Subproblem 1

Set the factor '(-3 + -8s)' equal to zero and attempt to solve: Simplifying -3 + -8s = 0 Solving -3 + -8s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8s = 0 + 3 -8s = 0 + 3 Combine like terms: 0 + 3 = 3 -8s = 3 Divide each side by '-8'. s = -0.375 Simplifying s = -0.375

Subproblem 2

Set the factor '(1 + -7s)' equal to zero and attempt to solve: Simplifying 1 + -7s = 0 Solving 1 + -7s = 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 + -7s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7s = 0 + -1 -7s = 0 + -1 Combine like terms: 0 + -1 = -1 -7s = -1 Divide each side by '-7'. s = 0.1428571429 Simplifying s = 0.1428571429

Solution

s = {-0.375, 0.1428571429}

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