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Simplifying 49s + -64s3 = 0 Solving 49s + -64s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(49 + -64s2) = 0 Factor a difference between two squares. s((7 + 8s)(7 + -8s)) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(7 + 8s)' equal to zero and attempt to solve: Simplifying 7 + 8s = 0 Solving 7 + 8s = 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 + 8s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8s = 0 + -7 8s = 0 + -7 Combine like terms: 0 + -7 = -7 8s = -7 Divide each side by '8'. s = -0.875 Simplifying s = -0.875Subproblem 3
Set the factor '(7 + -8s)' equal to zero and attempt to solve: Simplifying 7 + -8s = 0 Solving 7 + -8s = 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 + -8s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8s = 0 + -7 -8s = 0 + -7 Combine like terms: 0 + -7 = -7 -8s = -7 Divide each side by '-8'. s = 0.875 Simplifying s = 0.875Solution
s = {0, -0.875, 0.875}
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