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Simplifying -16(t2 + -4t + 8) = 0 Reorder the terms: -16(8 + -4t + t2) = 0 (8 * -16 + -4t * -16 + t2 * -16) = 0 (-128 + 64t + -16t2) = 0 Solving -128 + 64t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(-8 + 4t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-8 + 4t + -1t2)' equal to zero and attempt to solve: Simplifying -8 + 4t + -1t2 = 0 Solving -8 + 4t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -4t + t2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4t + -8 + t2 = 0 + -8 Reorder the terms: 8 + -8 + -4t + t2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4t + t2 = 0 + -8 -4t + t2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4t + t2 = -8 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = -8 + 4 Reorder the terms: 4 + -4t + t2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4t + t2 = -4 Factor a perfect square on the left side: (t + -2)(t + -2) = -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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