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Simplifying 8a2 + -26ac + -7c2 = 0 Reorder the terms: -26ac + 8a2 + -7c2 = 0 Solving -26ac + 8a2 + -7c2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -7c)(4a + c) = 0Subproblem 1
Set the factor '(2a + -7c)' equal to zero and attempt to solve: Simplifying 2a + -7c = 0 Solving 2a + -7c = 0 Move all terms containing a to the left, all other terms to the right. Add '7c' to each side of the equation. 2a + -7c + 7c = 0 + 7c Combine like terms: -7c + 7c = 0 2a + 0 = 0 + 7c 2a = 0 + 7c Remove the zero: 2a = 7c Divide each side by '2'. a = 3.5c Simplifying a = 3.5cSubproblem 2
Set the factor '(4a + c)' equal to zero and attempt to solve: Simplifying 4a + c = 0 Solving 4a + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. 4a + c + -1c = 0 + -1c Combine like terms: c + -1c = 0 4a + 0 = 0 + -1c 4a = 0 + -1c Remove the zero: 4a = -1c Divide each side by '4'. a = -0.25c Simplifying a = -0.25cSolution
a = {3.5c, -0.25c}
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