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Simplifying 5 + 56s + -16s2 = 54 Solving 5 + 56s + -16s2 = 54 Solving for variable 's'. Reorder the terms: 5 + -54 + 56s + -16s2 = 54 + -54 Combine like terms: 5 + -54 = -49 -49 + 56s + -16s2 = 54 + -54 Combine like terms: 54 + -54 = 0 -49 + 56s + -16s2 = 0 Factor a trinomial. (-7 + 4s)(7 + -4s) = 0Subproblem 1
Set the factor '(-7 + 4s)' equal to zero and attempt to solve: Simplifying -7 + 4s = 0 Solving -7 + 4s = 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 + 4s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4s = 0 + 7 4s = 0 + 7 Combine like terms: 0 + 7 = 7 4s = 7 Divide each side by '4'. s = 1.75 Simplifying s = 1.75Subproblem 2
Set the factor '(7 + -4s)' equal to zero and attempt to solve: Simplifying 7 + -4s = 0 Solving 7 + -4s = 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 + -4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4s = 0 + -7 -4s = 0 + -7 Combine like terms: 0 + -7 = -7 -4s = -7 Divide each side by '-4'. s = 1.75 Simplifying s = 1.75Solution
s = {1.75, 1.75}
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