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Simplifying 16a + -1a2 = 48 Solving 16a + -1a2 = 48 Solving for variable 'a'. Reorder the terms: -48 + 16a + -1a2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + 16a + -1a2 = 0 Factor a trinomial. (-12 + a)(4 + -1a) = 0Subproblem 1
Set the factor '(-12 + a)' equal to zero and attempt to solve: Simplifying -12 + a = 0 Solving -12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + a = 0 + 12 a = 0 + 12 Combine like terms: 0 + 12 = 12 a = 12 Simplifying a = 12Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {12, 4}
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