8t^4(t-t^2+7t^3)=

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Solution for 8t^4(t-t^2+7t^3)= equation:


Simplifying
8t4(t + -1t2 + 7t3) = 0
(t * 8t4 + -1t2 * 8t4 + 7t3 * 8t4) = 0
(8t5 + -8t6 + 56t7) = 0

Solving
8t5 + -8t6 + 56t7 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8t5'.
8t5(1 + -1t + 7t2) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 't5' equal to zero and attempt to solve: Simplifying t5 = 0 Solving t5 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t5 = 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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