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Simplifying (-2t2 + 2t + -18) = 0 Reorder the terms: (-18 + 2t + -2t2) = 0 Remove parenthesis around (-18 + 2t + -2t2) -18 + 2t + -2t2 = 0 Solving -18 + 2t + -2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + t + -1t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + t + -1t2)' equal to zero and attempt to solve: Simplifying -9 + t + -1t2 = 0 Solving -9 + t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -1t + t2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1t + -9 + t2 = 0 + -9 Reorder the terms: 9 + -9 + -1t + t2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t + t2 = 0 + -9 -1t + t2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1t + t2 = -9 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -9 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + -1t + t2 = -8.75 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -8.75 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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