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Simplifying 100a + -1a2 + -2484 = 0 Reorder the terms: -2484 + 100a + -1a2 = 0 Solving -2484 + 100a + -1a2 = 0 Solving for variable 'a'. Factor a trinomial. (-54 + a)(46 + -1a) = 0Subproblem 1
Set the factor '(-54 + a)' equal to zero and attempt to solve: Simplifying -54 + a = 0 Solving -54 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + a = 0 + 54 Combine like terms: -54 + 54 = 0 0 + a = 0 + 54 a = 0 + 54 Combine like terms: 0 + 54 = 54 a = 54 Simplifying a = 54Subproblem 2
Set the factor '(46 + -1a)' equal to zero and attempt to solve: Simplifying 46 + -1a = 0 Solving 46 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -1a = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -1a = 0 + -46 -1a = 0 + -46 Combine like terms: 0 + -46 = -46 -1a = -46 Divide each side by '-1'. a = 46 Simplifying a = 46Solution
a = {54, 46}
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