64b^2-144bt+81t^2=

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Solution for 64b^2-144bt+81t^2= equation:


Simplifying
64b2 + -144bt + 81t2 = 0

Reorder the terms:
-144bt + 64b2 + 81t2 = 0

Solving
-144bt + 64b2 + 81t2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8b + -9t)(8b + -9t) = 0

Subproblem 1

Set the factor '(8b + -9t)' equal to zero and attempt to solve: Simplifying 8b + -9t = 0 Solving 8b + -9t = 0 Move all terms containing b to the left, all other terms to the right. Add '9t' to each side of the equation. 8b + -9t + 9t = 0 + 9t Combine like terms: -9t + 9t = 0 8b + 0 = 0 + 9t 8b = 0 + 9t Remove the zero: 8b = 9t Divide each side by '8'. b = 1.125t Simplifying b = 1.125t

Subproblem 2

Set the factor '(8b + -9t)' equal to zero and attempt to solve: Simplifying 8b + -9t = 0 Solving 8b + -9t = 0 Move all terms containing b to the left, all other terms to the right. Add '9t' to each side of the equation. 8b + -9t + 9t = 0 + 9t Combine like terms: -9t + 9t = 0 8b + 0 = 0 + 9t 8b = 0 + 9t Remove the zero: 8b = 9t Divide each side by '8'. b = 1.125t Simplifying b = 1.125t

Solution

b = {1.125t, 1.125t}

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