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Simplifying -2t2 + 16t + -40 = 0 Reorder the terms: -40 + 16t + -2t2 = 0 Solving -40 + 16t + -2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 8t + -1t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 8t + -1t2)' equal to zero and attempt to solve: Simplifying -20 + 8t + -1t2 = 0 Solving -20 + 8t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 20 + -8t + t2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -8t + -20 + t2 = 0 + -20 Reorder the terms: 20 + -20 + -8t + t2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8t + t2 = 0 + -20 -8t + t2 = 0 + -20 Combine like terms: 0 + -20 = -20 -8t + t2 = -20 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -20 + 16 Reorder the terms: 16 + -8t + t2 = -20 + 16 Combine like terms: -20 + 16 = -4 16 + -8t + t2 = -4 Factor a perfect square on the left side: (t + -4)(t + -4) = -4 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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