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Simplifying -7a5(-2n2 + 5n + -5) = 0 Reorder the terms: -7a5(-5 + 5n + -2n2) = 0 (-5 * -7a5 + 5n * -7a5 + -2n2 * -7a5) = 0 (35a5 + -35a5n + 14a5n2) = 0 Solving 35a5 + -35a5n + 14a5n2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7a5'. 7a5(5 + -5n + 2n2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve: Simplifying a5 = 0 Solving a5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5 = 0 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 + -5n + 2n2)' equal to zero and attempt to solve: Simplifying 5 + -5n + 2n2 = 0 Solving 5 + -5n + 2n2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5n + -5 + 2n2 = 0 + -5 Reorder the terms: 5 + -5 + -5n + 2n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5n + 2n2 = 0 + -5 -5n + 2n2 = 0 + -5 Combine like terms: 0 + -5 = -5 -5n + 2n2 = -5 Add '5n' to each side of the equation. -5n + 5n + 2n2 = -5 + 5n Combine like terms: -5n + 5n = 0 0 + 2n2 = -5 + 5n 2n2 = -5 + 5n Add '-2n2' to each side of the equation. 2n2 + -2n2 = -5 + 5n + -2n2 Combine like terms: 2n2 + -2n2 = 0 0 = -5 + 5n + -2n2 Simplifying 0 = -5 + 5n + -2n2 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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