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Simplifying 4t8(t + -1t2 + 9t3) = 0 (t * 4t8 + -1t2 * 4t8 + 9t3 * 4t8) = 0 (4t9 + -4t10 + 36t11) = 0 Solving 4t9 + -4t10 + 36t11 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t9'. 4t9(1 + -1t + 9t2) = 0 Ignore the factor 4.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 + 9t2)' equal to zero and attempt to solve: Simplifying 1 + -1t + 9t2 = 0 Solving 1 + -1t + 9t2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.1111111111 + -0.1111111111t + t2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.1111111111t + -0.1111111111 + t2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.1111111111t + t2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.1111111111t + t2 = 0 + -0.1111111111 -0.1111111111t + t2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.1111111111t + t2 = -0.1111111111 The t term is -0.1111111111t. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111t + 0.003086419752 + t2 = -0.1111111111 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111t + t2 = -0.1111111111 + 0.003086419752 Combine like terms: -0.1111111111 + 0.003086419752 = -0.108024691348 0.003086419752 + -0.1111111111t + t2 = -0.108024691348 Factor a perfect square on the left side: (t + -0.05555555555)(t + -0.05555555555) = -0.108024691348 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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