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Simplifying t3 + -8t2 + 26t = 0 Reorder the terms: 26t + -8t2 + t3 = 0 Solving 26t + -8t2 + t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(26 + -8t + 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 '(26 + -8t + t2)' equal to zero and attempt to solve: Simplifying 26 + -8t + t2 = 0 Solving 26 + -8t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + -8t + -26 + t2 = 0 + -26 Reorder the terms: 26 + -26 + -8t + t2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -8t + t2 = 0 + -26 -8t + t2 = 0 + -26 Combine like terms: 0 + -26 = -26 -8t + t2 = -26 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -26 + 16 Reorder the terms: 16 + -8t + t2 = -26 + 16 Combine like terms: -26 + 16 = -10 16 + -8t + t2 = -10 Factor a perfect square on the left side: (t + -4)(t + -4) = -10 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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