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Simplifying -800 + -20a + a2 = 0 Solving -800 + -20a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-20 + -1a)(40 + -1a) = 0Subproblem 1
Set the factor '(-20 + -1a)' equal to zero and attempt to solve: Simplifying -20 + -1a = 0 Solving -20 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1a = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1a = 0 + 20 -1a = 0 + 20 Combine like terms: 0 + 20 = 20 -1a = 20 Divide each side by '-1'. a = -20 Simplifying a = -20Subproblem 2
Set the factor '(40 + -1a)' equal to zero and attempt to solve: Simplifying 40 + -1a = 0 Solving 40 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1a = 0 + -40 -1a = 0 + -40 Combine like terms: 0 + -40 = -40 -1a = -40 Divide each side by '-1'. a = 40 Simplifying a = 40Solution
a = {-20, 40}
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