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Simplifying 100a2 + -20a + -224 = 0 Reorder the terms: -224 + -20a + 100a2 = 0 Solving -224 + -20a + 100a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-56 + -5a + 25a2) = 0 Factor a trinomial. 4((-7 + -5a)(8 + -5a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -5a)' equal to zero and attempt to solve: Simplifying -7 + -5a = 0 Solving -7 + -5a = 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 + -5a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = 0 + 7 -5a = 0 + 7 Combine like terms: 0 + 7 = 7 -5a = 7 Divide each side by '-5'. a = -1.4 Simplifying a = -1.4Subproblem 2
Set the factor '(8 + -5a)' equal to zero and attempt to solve: Simplifying 8 + -5a = 0 Solving 8 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5a = 0 + -8 -5a = 0 + -8 Combine like terms: 0 + -8 = -8 -5a = -8 Divide each side by '-5'. a = 1.6 Simplifying a = 1.6Solution
a = {-1.4, 1.6}
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