64t^2+144wt+81t^2=0

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Solution for 64t^2+144wt+81t^2=0 equation:


Simplifying
64t2 + 144wt + 81t2 = 0

Reorder the terms:
144tw + 64t2 + 81t2 = 0

Combine like terms: 64t2 + 81t2 = 145t2
144tw + 145t2 = 0

Solving
144tw + 145t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(144w + 145t) = 0

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 '(144w + 145t)' equal to zero and attempt to solve: Simplifying 144w + 145t = 0 Reorder the terms: 145t + 144w = 0 Solving 145t + 144w = 0 Move all terms containing t to the left, all other terms to the right. Add '-144w' to each side of the equation. 145t + 144w + -144w = 0 + -144w Combine like terms: 144w + -144w = 0 145t + 0 = 0 + -144w 145t = 0 + -144w Remove the zero: 145t = -144w Divide each side by '145'. t = -0.9931034483w Simplifying t = -0.9931034483w

Solution

t = {0, -0.9931034483w}

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