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Simplifying a2 + -4ad + -60d2 = 0 Reorder the terms: -4ad + a2 + -60d2 = 0 Solving -4ad + a2 + -60d2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -10d)(a + 6d) = 0Subproblem 1
Set the factor '(a + -10d)' equal to zero and attempt to solve: Simplifying a + -10d = 0 Solving a + -10d = 0 Move all terms containing a to the left, all other terms to the right. Add '10d' to each side of the equation. a + -10d + 10d = 0 + 10d Combine like terms: -10d + 10d = 0 a + 0 = 0 + 10d a = 0 + 10d Remove the zero: a = 10d Simplifying a = 10dSubproblem 2
Set the factor '(a + 6d)' equal to zero and attempt to solve: Simplifying a + 6d = 0 Solving a + 6d = 0 Move all terms containing a to the left, all other terms to the right. Add '-6d' to each side of the equation. a + 6d + -6d = 0 + -6d Combine like terms: 6d + -6d = 0 a + 0 = 0 + -6d a = 0 + -6d Remove the zero: a = -6d Simplifying a = -6dSolution
a = {10d, -6d}
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