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Simplifying 8a2 + -49a + -49 = 0 Reorder the terms: -49 + -49a + 8a2 = 0 Solving -49 + -49a + 8a2 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + -8a)(7 + -1a) = 0Subproblem 1
Set the factor '(-7 + -8a)' equal to zero and attempt to solve: Simplifying -7 + -8a = 0 Solving -7 + -8a = 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 + -8a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8a = 0 + 7 -8a = 0 + 7 Combine like terms: 0 + 7 = 7 -8a = 7 Divide each side by '-8'. a = -0.875 Simplifying a = -0.875Subproblem 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 = {-0.875, 7}
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