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Simplifying 16a2 + -24ar + 9r2 = 0 Reorder the terms: -24ar + 16a2 + 9r2 = 0 Solving -24ar + 16a2 + 9r2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + -3r)(4a + -3r) = 0Subproblem 1
Set the factor '(4a + -3r)' equal to zero and attempt to solve: Simplifying 4a + -3r = 0 Solving 4a + -3r = 0 Move all terms containing a to the left, all other terms to the right. Add '3r' to each side of the equation. 4a + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 4a + 0 = 0 + 3r 4a = 0 + 3r Remove the zero: 4a = 3r Divide each side by '4'. a = 0.75r Simplifying a = 0.75rSubproblem 2
Set the factor '(4a + -3r)' equal to zero and attempt to solve: Simplifying 4a + -3r = 0 Solving 4a + -3r = 0 Move all terms containing a to the left, all other terms to the right. Add '3r' to each side of the equation. 4a + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 4a + 0 = 0 + 3r 4a = 0 + 3r Remove the zero: 4a = 3r Divide each side by '4'. a = 0.75r Simplifying a = 0.75rSolution
a = {0.75r, 0.75r}
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