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Simplifying 9t8(t + -1t2 + 8t3) = 0 (t * 9t8 + -1t2 * 9t8 + 8t3 * 9t8) = 0 (9t9 + -9t10 + 72t11) = 0 Solving 9t9 + -9t10 + 72t11 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '9t9'. 9t9(1 + -1t + 8t2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 't9' equal to zero and attempt to solve: Simplifying t9 = 0 Solving t9 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t9 = 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 '(1 + -1t + 8t2)' equal to zero and attempt to solve: Simplifying 1 + -1t + 8t2 = 0 Solving 1 + -1t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.125 + -0.125t + t2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -0.125t + -0.125 + t2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -0.125t + t2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.125t + t2 = 0 + -0.125 -0.125t + t2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -0.125t + t2 = -0.125 The t term is -0.125t. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125t + 0.00390625 + t2 = -0.125 + 0.00390625 Reorder the terms: 0.00390625 + -0.125t + t2 = -0.125 + 0.00390625 Combine like terms: -0.125 + 0.00390625 = -0.12109375 0.00390625 + -0.125t + t2 = -0.12109375 Factor a perfect square on the left side: (t + -0.0625)(t + -0.0625) = -0.12109375 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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