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Simplifying 70 = -16t2 + 64t Reorder the terms: 70 = 64t + -16t2 Solving 70 = 64t + -16t2 Solving for variable 't'. Reorder the terms: 70 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2 Combine like terms: 64t + -64t = 0 70 + -64t + 16t2 = 0 + -16t2 + 16t2 70 + -64t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 70 + -64t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(35 + -32t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35 + -32t + 8t2)' equal to zero and attempt to solve: Simplifying 35 + -32t + 8t2 = 0 Solving 35 + -32t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.375 + -4t + t2 = 0 Move the constant term to the right: Add '-4.375' to each side of the equation. 4.375 + -4t + -4.375 + t2 = 0 + -4.375 Reorder the terms: 4.375 + -4.375 + -4t + t2 = 0 + -4.375 Combine like terms: 4.375 + -4.375 = 0.000 0.000 + -4t + t2 = 0 + -4.375 -4t + t2 = 0 + -4.375 Combine like terms: 0 + -4.375 = -4.375 -4t + t2 = -4.375 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 = -4.375 + 4 Reorder the terms: 4 + -4t + t2 = -4.375 + 4 Combine like terms: -4.375 + 4 = -0.375 4 + -4t + t2 = -0.375 Factor a perfect square on the left side: (t + -2)(t + -2) = -0.375 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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