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Simplifying 3a2 + -11ad + -14d2 = 0 Reorder the terms: -11ad + 3a2 + -14d2 = 0 Solving -11ad + 3a2 + -14d2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -14d)(a + d) = 0Subproblem 1
Set the factor '(3a + -14d)' equal to zero and attempt to solve: Simplifying 3a + -14d = 0 Solving 3a + -14d = 0 Move all terms containing a to the left, all other terms to the right. Add '14d' to each side of the equation. 3a + -14d + 14d = 0 + 14d Combine like terms: -14d + 14d = 0 3a + 0 = 0 + 14d 3a = 0 + 14d Remove the zero: 3a = 14d Divide each side by '3'. a = 4.666666667d Simplifying a = 4.666666667dSubproblem 2
Set the factor '(a + d)' equal to zero and attempt to solve: Simplifying a + d = 0 Solving a + d = 0 Move all terms containing a to the left, all other terms to the right. Add '-1d' to each side of the equation. a + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 a + 0 = 0 + -1d a = 0 + -1d Remove the zero: a = -1d Simplifying a = -1dSolution
a = {4.666666667d, -1d}
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