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Simplifying a2 + -17a + 30 = 30 Reorder the terms: 30 + -17a + a2 = 30 Add '-30' to each side of the equation. 30 + -17a + -30 + a2 = 30 + -30 Reorder the terms: 30 + -30 + -17a + a2 = 30 + -30 Combine like terms: 30 + -30 = 0 0 + -17a + a2 = 30 + -30 -17a + a2 = 30 + -30 Combine like terms: 30 + -30 = 0 -17a + a2 = 0 Solving -17a + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-17 + a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-17 + a)' equal to zero and attempt to solve: Simplifying -17 + a = 0 Solving -17 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + a = 0 + 17 a = 0 + 17 Combine like terms: 0 + 17 = 17 a = 17 Simplifying a = 17Solution
a = {0, 17}
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