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Simplifying a2 + -21a = 100 Reorder the terms: -21a + a2 = 100 Solving -21a + a2 = 100 Solving for variable 'a'. Reorder the terms: -100 + -21a + a2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + -21a + a2 = 0 Factor a trinomial. (-4 + -1a)(25 + -1a) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(25 + -1a)' equal to zero and attempt to solve: Simplifying 25 + -1a = 0 Solving 25 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1a = 0 + -25 -1a = 0 + -25 Combine like terms: 0 + -25 = -25 -1a = -25 Divide each side by '-1'. a = 25 Simplifying a = 25Solution
a = {-4, 25}
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