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Simplifying 2a6 + -9a3 + 7 = 0 Reorder the terms: 7 + -9a3 + 2a6 = 0 Solving 7 + -9a3 + 2a6 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -1a3)(7 + -2a3) = 0Subproblem 1
Set the factor '(1 + -1a3)' equal to zero and attempt to solve: Simplifying 1 + -1a3 = 0 Solving 1 + -1a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a3 = 0 + -1 -1a3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1a3 = -1 Divide each side by '-1'. a3 = 1 Simplifying a3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -2a3)' equal to zero and attempt to solve: Simplifying 7 + -2a3 = 0 Solving 7 + -2a3 = 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 + -2a3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a3 = 0 + -7 -2a3 = 0 + -7 Combine like terms: 0 + -7 = -7 -2a3 = -7 Divide each side by '-2'. a3 = 3.5 Simplifying a3 = 3.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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