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Simplifying 5a2 + 14a + -343 = 0 Reorder the terms: -343 + 14a + 5a2 = 0 Solving -343 + 14a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (-49 + -5a)(7 + -1a) = 0Subproblem 1
Set the factor '(-49 + -5a)' equal to zero and attempt to solve: Simplifying -49 + -5a = 0 Solving -49 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -5a = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -5a = 0 + 49 -5a = 0 + 49 Combine like terms: 0 + 49 = 49 -5a = 49 Divide each side by '-5'. a = -9.8 Simplifying a = -9.8Subproblem 2
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 = 7Solution
a = {-9.8, 7}
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