(8t+t^2)(5t)=

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Solution for (8t+t^2)(5t)= equation:


Simplifying
(8t + t2)(5t) = 0

Remove parenthesis around (5t)
(8t + t2) * 5t = 0

Reorder the terms for easier multiplication:
5t(8t + t2) = 0
(8t * 5t + t2 * 5t) = 0
(40t2 + 5t3) = 0

Solving
40t2 + 5t3 = 0

Solving for variable 't'.

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

Ignore the factor 5.

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 '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8

Solution

t = {0, -8}

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