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Simplifying 64r2 + -144rt + 81t2 = 0 Reorder the terms: -144rt + 64r2 + 81t2 = 0 Solving -144rt + 64r2 + 81t2 = 0 Solving for variable 'r'. Factor a trinomial. (8r + -9t)(8r + -9t) = 0Subproblem 1
Set the factor '(8r + -9t)' equal to zero and attempt to solve: Simplifying 8r + -9t = 0 Solving 8r + -9t = 0 Move all terms containing r to the left, all other terms to the right. Add '9t' to each side of the equation. 8r + -9t + 9t = 0 + 9t Combine like terms: -9t + 9t = 0 8r + 0 = 0 + 9t 8r = 0 + 9t Remove the zero: 8r = 9t Divide each side by '8'. r = 1.125t Simplifying r = 1.125tSubproblem 2
Set the factor '(8r + -9t)' equal to zero and attempt to solve: Simplifying 8r + -9t = 0 Solving 8r + -9t = 0 Move all terms containing r to the left, all other terms to the right. Add '9t' to each side of the equation. 8r + -9t + 9t = 0 + 9t Combine like terms: -9t + 9t = 0 8r + 0 = 0 + 9t 8r = 0 + 9t Remove the zero: 8r = 9t Divide each side by '8'. r = 1.125t Simplifying r = 1.125tSolution
r = {1.125t, 1.125t}
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