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Simplifying 15a6 + -25a3 + -6a3 + 10 = 0 Reorder the terms: 10 + -25a3 + -6a3 + 15a6 = 0 Combine like terms: -25a3 + -6a3 = -31a3 10 + -31a3 + 15a6 = 0 Solving 10 + -31a3 + 15a6 = 0 Solving for variable 'a'. Factor a trinomial. (2 + -5a3)(5 + -3a3) = 0Subproblem 1
Set the factor '(2 + -5a3)' equal to zero and attempt to solve: Simplifying 2 + -5a3 = 0 Solving 2 + -5a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5a3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a3 = 0 + -2 -5a3 = 0 + -2 Combine like terms: 0 + -2 = -2 -5a3 = -2 Divide each side by '-5'. a3 = 0.4 Simplifying a3 = 0.4 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 '(5 + -3a3)' equal to zero and attempt to solve: Simplifying 5 + -3a3 = 0 Solving 5 + -3a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3a3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a3 = 0 + -5 -3a3 = 0 + -5 Combine like terms: 0 + -5 = -5 -3a3 = -5 Divide each side by '-3'. a3 = 1.666666667 Simplifying a3 = 1.666666667 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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