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Simplifying s(s + 2) = 783 Reorder the terms: s(2 + s) = 783 (2 * s + s * s) = 783 (2s + s2) = 783 Solving 2s + s2 = 783 Solving for variable 's'. Reorder the terms: -783 + 2s + s2 = 783 + -783 Combine like terms: 783 + -783 = 0 -783 + 2s + s2 = 0 Factor a trinomial. (-29 + -1s)(27 + -1s) = 0Subproblem 1
Set the factor '(-29 + -1s)' equal to zero and attempt to solve: Simplifying -29 + -1s = 0 Solving -29 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1s = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1s = 0 + 29 -1s = 0 + 29 Combine like terms: 0 + 29 = 29 -1s = 29 Divide each side by '-1'. s = -29 Simplifying s = -29Subproblem 2
Set the factor '(27 + -1s)' equal to zero and attempt to solve: Simplifying 27 + -1s = 0 Solving 27 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1s = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1s = 0 + -27 -1s = 0 + -27 Combine like terms: 0 + -27 = -27 -1s = -27 Divide each side by '-1'. s = 27 Simplifying s = 27Solution
s = {-29, 27}
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