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Simplifying 7a2 + 80a + 100 = 0 Reorder the terms: 100 + 80a + 7a2 = 0 Solving 100 + 80a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (10 + a)(10 + 7a) = 0Subproblem 1
Set the factor '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Subproblem 2
Set the factor '(10 + 7a)' equal to zero and attempt to solve: Simplifying 10 + 7a = 0 Solving 10 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7a = 0 + -10 7a = 0 + -10 Combine like terms: 0 + -10 = -10 7a = -10 Divide each side by '7'. a = -1.428571429 Simplifying a = -1.428571429Solution
a = {-10, -1.428571429}
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