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Simplifying 2t5(t + -1t2 + 7t3) = 0 (t * 2t5 + -1t2 * 2t5 + 7t3 * 2t5) = 0 (2t6 + -2t7 + 14t8) = 0 Solving 2t6 + -2t7 + 14t8 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t6'. 2t6(1 + -1t + 7t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 't6' equal to zero and attempt to solve: Simplifying t6 = 0 Solving t6 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t6 = 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 + 7t2)' equal to zero and attempt to solve: Simplifying 1 + -1t + 7t2 = 0 Solving 1 + -1t + 7t2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + -0.1428571429t + t2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.1428571429t + -0.1428571429 + t2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.1428571429t + t2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.1428571429t + t2 = 0 + -0.1428571429 -0.1428571429t + t2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.1428571429t + t2 = -0.1428571429 The t term is -0.1428571429t. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429t + 0.005102040819 + t2 = -0.1428571429 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429t + t2 = -0.1428571429 + 0.005102040819 Combine like terms: -0.1428571429 + 0.005102040819 = -0.137755102081 0.005102040819 + -0.1428571429t + t2 = -0.137755102081 Factor a perfect square on the left side: (t + -0.07142857145)(t + -0.07142857145) = -0.137755102081 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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