-8t^2(3t-4-5t^2)=0

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Solution for -8t^2(3t-4-5t^2)=0 equation:


Simplifying
-8t2(3t + -4 + -5t2) = 0

Reorder the terms:
-8t2(-4 + 3t + -5t2) = 0
(-4 * -8t2 + 3t * -8t2 + -5t2 * -8t2) = 0
(32t2 + -24t3 + 40t4) = 0

Solving
32t2 + -24t3 + 40t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8t2'.
8t2(4 + -3t + 5t2) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}

Subproblem 2

Set the factor '(4 + -3t + 5t2)' equal to zero and attempt to solve: Simplifying 4 + -3t + 5t2 = 0 Solving 4 + -3t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -0.6t + t2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.6t + -0.8 + t2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.6t + t2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.6t + t2 = 0 + -0.8 -0.6t + t2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.6t + t2 = -0.8 The t term is -0.6t. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6t + 0.09 + t2 = -0.8 + 0.09 Reorder the terms: 0.09 + -0.6t + t2 = -0.8 + 0.09 Combine like terms: -0.8 + 0.09 = -0.71 0.09 + -0.6t + t2 = -0.71 Factor a perfect square on the left side: (t + -0.3)(t + -0.3) = -0.71 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.

Solution

t = {0}

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