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Simplifying 2s2 + -4s + 70 = 0 Reorder the terms: 70 + -4s + 2s2 = 0 Solving 70 + -4s + 2s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(35 + -2s + s2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35 + -2s + s2)' equal to zero and attempt to solve: Simplifying 35 + -2s + s2 = 0 Solving 35 + -2s + s2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + -2s + -35 + s2 = 0 + -35 Reorder the terms: 35 + -35 + -2s + s2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -2s + s2 = 0 + -35 -2s + s2 = 0 + -35 Combine like terms: 0 + -35 = -35 -2s + s2 = -35 The s term is -2s. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2s + 1 + s2 = -35 + 1 Reorder the terms: 1 + -2s + s2 = -35 + 1 Combine like terms: -35 + 1 = -34 1 + -2s + s2 = -34 Factor a perfect square on the left side: (s + -1)(s + -1) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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