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Simplifying -3t2 + -1t + -10 = 0 Reorder the terms: -10 + -1t + -3t2 = 0 Solving -10 + -1t + -3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + t + 3t2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + t + 3t2)' equal to zero and attempt to solve: Simplifying 10 + t + 3t2 = 0 Solving 10 + t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.333333333 + 0.3333333333t + t2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + 0.3333333333t + -3.333333333 + t2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + 0.3333333333t + t2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + 0.3333333333t + t2 = 0 + -3.333333333 0.3333333333t + t2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 0.3333333333t + t2 = -3.333333333 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. 0.3333333333t + 0.25 + t2 = -3.333333333 + 0.25 Reorder the terms: 0.25 + 0.3333333333t + t2 = -3.333333333 + 0.25 Combine like terms: -3.333333333 + 0.25 = -3.083333333 0.25 + 0.3333333333t + t2 = -3.083333333 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -3.083333333 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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