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Simplifying t3 + -10t2 + 29t = 0 Reorder the terms: 29t + -10t2 + t3 = 0 Solving 29t + -10t2 + t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(29 + -10t + t2) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(29 + -10t + t2)' equal to zero and attempt to solve: Simplifying 29 + -10t + t2 = 0 Solving 29 + -10t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -10t + -29 + t2 = 0 + -29 Reorder the terms: 29 + -29 + -10t + t2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -10t + t2 = 0 + -29 -10t + t2 = 0 + -29 Combine like terms: 0 + -29 = -29 -10t + t2 = -29 The t term is -10t. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10t + 25 + t2 = -29 + 25 Reorder the terms: 25 + -10t + t2 = -29 + 25 Combine like terms: -29 + 25 = -4 25 + -10t + t2 = -4 Factor a perfect square on the left side: (t + -5)(t + -5) = -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.Solution
t = {0}
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