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Simplifying (s + -4)(s + -4) = 0 Reorder the terms: (-4 + s)(s + -4) = 0 Reorder the terms: (-4 + s)(-4 + s) = 0 Multiply (-4 + s) * (-4 + s) (-4(-4 + s) + s(-4 + s)) = 0 ((-4 * -4 + s * -4) + s(-4 + s)) = 0 ((16 + -4s) + s(-4 + s)) = 0 (16 + -4s + (-4 * s + s * s)) = 0 (16 + -4s + (-4s + s2)) = 0 Combine like terms: -4s + -4s = -8s (16 + -8s + s2) = 0 Solving 16 + -8s + s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + -1s)(4 + -1s) = 0Subproblem 1
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 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 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 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 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Solution
s = {4, 4}
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