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Simplifying A(A + -21) = 100 Reorder the terms: A(-21 + A) = 100 (-21 * A + A * A) = 100 (-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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