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Simplifying (2t2 + -4t + 2)(2t + -2) = 0 Reorder the terms: (2 + -4t + 2t2)(2t + -2) = 0 Reorder the terms: (2 + -4t + 2t2)(-2 + 2t) = 0 Multiply (2 + -4t + 2t2) * (-2 + 2t) (2(-2 + 2t) + -4t * (-2 + 2t) + 2t2 * (-2 + 2t)) = 0 ((-2 * 2 + 2t * 2) + -4t * (-2 + 2t) + 2t2 * (-2 + 2t)) = 0 ((-4 + 4t) + -4t * (-2 + 2t) + 2t2 * (-2 + 2t)) = 0 (-4 + 4t + (-2 * -4t + 2t * -4t) + 2t2 * (-2 + 2t)) = 0 (-4 + 4t + (8t + -8t2) + 2t2 * (-2 + 2t)) = 0 (-4 + 4t + 8t + -8t2 + (-2 * 2t2 + 2t * 2t2)) = 0 (-4 + 4t + 8t + -8t2 + (-4t2 + 4t3)) = 0 Combine like terms: 4t + 8t = 12t (-4 + 12t + -8t2 + -4t2 + 4t3) = 0 Combine like terms: -8t2 + -4t2 = -12t2 (-4 + 12t + -12t2 + 4t3) = 0 Solving -4 + 12t + -12t2 + 4t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 3t + -3t2 + t3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + 3t + -3t2 + t3)' equal to zero and attempt to solve: Simplifying -1 + 3t + -3t2 + t3 = 0 Solving -1 + 3t + -3t2 + t3 = 0 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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