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Simplifying a2 + -4a + -72 = 5 Reorder the terms: -72 + -4a + a2 = 5 Solving -72 + -4a + a2 = 5 Solving for variable 'a'. Reorder the terms: -72 + -5 + -4a + a2 = 5 + -5 Combine like terms: -72 + -5 = -77 -77 + -4a + a2 = 5 + -5 Combine like terms: 5 + -5 = 0 -77 + -4a + a2 = 0 Factor a trinomial. (-7 + -1a)(11 + -1a) = 0Subproblem 1
Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7Subproblem 2
Set the factor '(11 + -1a)' equal to zero and attempt to solve: Simplifying 11 + -1a = 0 Solving 11 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1a = 0 + -11 -1a = 0 + -11 Combine like terms: 0 + -11 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11Solution
a = {-7, 11}
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