30t^2=22t

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Solution for 30t^2=22t equation:


Simplifying
30t2 = 22t

Solving
30t2 = 22t

Solving for variable 't'.

Reorder the terms:
-22t + 30t2 = 22t + -22t

Combine like terms: 22t + -22t = 0
-22t + 30t2 = 0

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-11 + 15t) = 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 '(-11 + 15t)' equal to zero and attempt to solve: Simplifying -11 + 15t = 0 Solving -11 + 15t = 0 Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 15t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 15t = 0 + 11 15t = 0 + 11 Combine like terms: 0 + 11 = 11 15t = 11 Divide each side by '15'. t = 0.7333333333 Simplifying t = 0.7333333333

Solution

t = {0, 0.7333333333}

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