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Simplifying 49a2 + -112ad + 64d2 = 0 Reorder the terms: -112ad + 49a2 + 64d2 = 0 Solving -112ad + 49a2 + 64d2 = 0 Solving for variable 'a'. Factor a trinomial. (7a + -8d)(7a + -8d) = 0Subproblem 1
Set the factor '(7a + -8d)' equal to zero and attempt to solve: Simplifying 7a + -8d = 0 Solving 7a + -8d = 0 Move all terms containing a to the left, all other terms to the right. Add '8d' to each side of the equation. 7a + -8d + 8d = 0 + 8d Combine like terms: -8d + 8d = 0 7a + 0 = 0 + 8d 7a = 0 + 8d Remove the zero: 7a = 8d Divide each side by '7'. a = 1.142857143d Simplifying a = 1.142857143dSubproblem 2
Set the factor '(7a + -8d)' equal to zero and attempt to solve: Simplifying 7a + -8d = 0 Solving 7a + -8d = 0 Move all terms containing a to the left, all other terms to the right. Add '8d' to each side of the equation. 7a + -8d + 8d = 0 + 8d Combine like terms: -8d + 8d = 0 7a + 0 = 0 + 8d 7a = 0 + 8d Remove the zero: 7a = 8d Divide each side by '7'. a = 1.142857143d Simplifying a = 1.142857143dSolution
a = {1.142857143d, 1.142857143d}
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