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Simplifying a2 + -7ad + -18d2 = 0 Reorder the terms: -7ad + a2 + -18d2 = 0 Solving -7ad + a2 + -18d2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -9d)(a + 2d) = 0Subproblem 1
Set the factor '(a + -9d)' equal to zero and attempt to solve: Simplifying a + -9d = 0 Solving a + -9d = 0 Move all terms containing a to the left, all other terms to the right. Add '9d' to each side of the equation. a + -9d + 9d = 0 + 9d Combine like terms: -9d + 9d = 0 a + 0 = 0 + 9d a = 0 + 9d Remove the zero: a = 9d Simplifying a = 9dSubproblem 2
Set the factor '(a + 2d)' equal to zero and attempt to solve: Simplifying a + 2d = 0 Solving a + 2d = 0 Move all terms containing a to the left, all other terms to the right. Add '-2d' to each side of the equation. a + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 a + 0 = 0 + -2d a = 0 + -2d Remove the zero: a = -2d Simplifying a = -2dSolution
a = {9d, -2d}
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