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Simplifying 4t9(t + -1t2 + 2t3) = 0 (t * 4t9 + -1t2 * 4t9 + 2t3 * 4t9) = 0 (4t10 + -4t11 + 8t12) = 0 Solving 4t10 + -4t11 + 8t12 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t10'. 4t10(1 + -1t + 2t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 't10' equal to zero and attempt to solve: Simplifying t10 = 0 Solving t10 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t10 = 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 + 2t2)' equal to zero and attempt to solve: Simplifying 1 + -1t + 2t2 = 0 Solving 1 + -1t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + -0.5t + t2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.5t + -0.5 + t2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.5t + t2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5t + t2 = 0 + -0.5 -0.5t + t2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.5t + t2 = -0.5 The t term is -0.5t. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5t + 0.0625 + t2 = -0.5 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -0.5 + 0.0625 Combine like terms: -0.5 + 0.0625 = -0.4375 0.0625 + -0.5t + t2 = -0.4375 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = -0.4375 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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