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

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


Simplifying
4t2(2t3 + -1t2 + t) = 0

Reorder the terms:
4t2(t + -1t2 + 2t3) = 0
(t * 4t2 + -1t2 * 4t2 + 2t3 * 4t2) = 0
(4t3 + -4t4 + 8t5) = 0

Solving
4t3 + -4t4 + 8t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t3'.
4t3(1 + -1t + 2t2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 't3' equal to zero and attempt to solve: Simplifying t3 = 0 Solving t3 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t3 = 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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