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Simplifying a2 + -56a + 784 = 0 Reorder the terms: 784 + -56a + a2 = 0 Solving 784 + -56a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (28 + -1a)(28 + -1a) = 0Subproblem 1
Set the factor '(28 + -1a)' equal to zero and attempt to solve: Simplifying 28 + -1a = 0 Solving 28 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1a = 0 + -28 -1a = 0 + -28 Combine like terms: 0 + -28 = -28 -1a = -28 Divide each side by '-1'. a = 28 Simplifying a = 28Subproblem 2
Set the factor '(28 + -1a)' equal to zero and attempt to solve: Simplifying 28 + -1a = 0 Solving 28 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1a = 0 + -28 -1a = 0 + -28 Combine like terms: 0 + -28 = -28 -1a = -28 Divide each side by '-1'. a = 28 Simplifying a = 28Solution
a = {28, 28}
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