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Simplifying 2s7 + 4s6 + -6s5 = 0 Reorder the terms: -6s5 + 4s6 + 2s7 = 0 Solving -6s5 + 4s6 + 2s7 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s5'. 2s5(-3 + 2s + s2) = 0 Factor a trinomial. 2s5((-3 + -1s)(1 + -1s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 's5' equal to zero and attempt to solve: Simplifying s5 = 0 Solving s5 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 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 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 3
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 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 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Solution
s = {-3, 1}
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