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Simplifying 5t5 + -34t4 + 60t3 = 0 Reorder the terms: 60t3 + -34t4 + 5t5 = 0 Solving 60t3 + -34t4 + 5t5 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't3'. t3(60 + -34t + 5t2) = 0Subproblem 1
Set the factor 't3' equal to zero and attempt to solve: Simplifying t3 = 0 Solving t3 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(60 + -34t + 5t2)' equal to zero and attempt to solve: Simplifying 60 + -34t + 5t2 = 0 Solving 60 + -34t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12 + -6.8t + t2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -6.8t + -12 + t2 = 0 + -12 Reorder the terms: 12 + -12 + -6.8t + t2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6.8t + t2 = 0 + -12 -6.8t + t2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6.8t + t2 = -12 The t term is -6.8t. Take half its coefficient (-3.4). Square it (11.56) and add it to both sides. Add '11.56' to each side of the equation. -6.8t + 11.56 + t2 = -12 + 11.56 Reorder the terms: 11.56 + -6.8t + t2 = -12 + 11.56 Combine like terms: -12 + 11.56 = -0.44 11.56 + -6.8t + t2 = -0.44 Factor a perfect square on the left side: (t + -3.4)(t + -3.4) = -0.44 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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