2t(-t+3u-5v)=

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Solution for 2t(-t+3u-5v)= equation:


Simplifying
2t(-1t + 3u + -5v) = 0
(-1t * 2t + 3u * 2t + -5v * 2t) = 0

Reorder the terms:
(6tu + -10tv + -2t2) = 0
(6tu + -10tv + -2t2) = 0

Solving
6tu + -10tv + -2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(3u + -5v + -1t) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(3u + -5v + -1t)' equal to zero and attempt to solve: Simplifying 3u + -5v + -1t = 0 Reorder the terms: -1t + 3u + -5v = 0 Solving -1t + 3u + -5v = 0 Move all terms containing t to the left, all other terms to the right. Add '-3u' to each side of the equation. -1t + 3u + -3u + -5v = 0 + -3u Combine like terms: 3u + -3u = 0 -1t + 0 + -5v = 0 + -3u -1t + -5v = 0 + -3u Remove the zero: -1t + -5v = -3u Add '5v' to each side of the equation. -1t + -5v + 5v = -3u + 5v Combine like terms: -5v + 5v = 0 -1t + 0 = -3u + 5v -1t = -3u + 5v Divide each side by '-1'. t = 3u + -5v Simplifying t = 3u + -5v

Solution

t = {0, 3u + -5v}

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