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Simplifying 0 = ((-16t)(-16t)) + 20t + 1200 Remove parenthesis around (-16t) 0 = (-16t(-16t)) + 20t + 1200 Remove parenthesis around (-16t) 0 = (-16t * -16t) + 20t + 1200 Reorder the terms for easier multiplication: 0 = (-16 * -16t * t) + 20t + 1200 Multiply -16 * -16 0 = (256t * t) + 20t + 1200 Multiply t * t 0 = (256t2) + 20t + 1200 Reorder the terms: 0 = 1200 + 20t + (256t2) Solving 0 = 1200 + 20t + (256t2) Solving for variable 't'. Combine like terms: 0 + -1200 = -1200 -1200 + -20t + (-256t2) = 1200 + 20t + (256t2) + -1200 + -20t + (-256t2) Reorder the terms: -1200 + -20t + (-256t2) = 1200 + -1200 + 20t + -20t + (256t2) + (-256t2) Combine like terms: 1200 + -1200 = 0 -1200 + -20t + (-256t2) = 0 + 20t + -20t + (256t2) + (-256t2) -1200 + -20t + (-256t2) = 20t + -20t + (256t2) + (-256t2) Combine like terms: 20t + -20t = 0 -1200 + -20t + (-256t2) = 0 + (256t2) + (-256t2) -1200 + -20t + (-256t2) = (256t2) + (-256t2) Combine like terms: (256t2) + (-256t2) = 0 -1200 + -20t + (-256t2) = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(300 + 5t + (64t2)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(300 + 5t + (64t2))' equal to zero and attempt to solve: Simplifying 300 + 5t + (64t2) = 0 Solving 300 + 5t + (64t2) = 0 Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 4.6875 + 0.078125t + t2 = 0 Move the constant term to the right: Add '-4.6875' to each side of the equation. 4.6875 + 0.078125t + -4.6875 + t2 = 0 + -4.6875 Reorder the terms: 4.6875 + -4.6875 + 0.078125t + t2 = 0 + -4.6875 Combine like terms: 4.6875 + -4.6875 = 0.0000 0.0000 + 0.078125t + t2 = 0 + -4.6875 0.078125t + t2 = 0 + -4.6875 Combine like terms: 0 + -4.6875 = -4.6875 0.078125t + t2 = -4.6875 The t term is 0.078125t. Take half its coefficient (0.0390625). Square it (0.001525878906) and add it to both sides. Add '0.001525878906' to each side of the equation. 0.078125t + 0.001525878906 + t2 = -4.6875 + 0.001525878906 Reorder the terms: 0.001525878906 + 0.078125t + t2 = -4.6875 + 0.001525878906 Combine like terms: -4.6875 + 0.001525878906 = -4.685974121094 0.001525878906 + 0.078125t + t2 = -4.685974121094 Factor a perfect square on the left side: ((t) + 0.0390625)((t) + 0.0390625) = -4.685974121094 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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