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Simplifying (5a5 + 2)(a5 + -6) = 0 Reorder the terms: (2 + 5a5)(a5 + -6) = 0 Reorder the terms: (2 + 5a5)(-6 + a5) = 0 Multiply (2 + 5a5) * (-6 + a5) (2(-6 + a5) + 5a5 * (-6 + a5)) = 0 ((-6 * 2 + a5 * 2) + 5a5 * (-6 + a5)) = 0 ((-12 + 2a5) + 5a5 * (-6 + a5)) = 0 (-12 + 2a5 + (-6 * 5a5 + a5 * 5a5)) = 0 (-12 + 2a5 + (-30a5 + 5a10)) = 0 Combine like terms: 2a5 + -30a5 = -28a5 (-12 + -28a5 + 5a10) = 0 Solving -12 + -28a5 + 5a10 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -5a5)(6 + -1a5) = 0Subproblem 1
Set the factor '(-2 + -5a5)' equal to zero and attempt to solve: Simplifying -2 + -5a5 = 0 Solving -2 + -5a5 = 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 + -5a5 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5a5 = 0 + 2 -5a5 = 0 + 2 Combine like terms: 0 + 2 = 2 -5a5 = 2 Divide each side by '-5'. a5 = -0.4 Simplifying a5 = -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 '(6 + -1a5)' equal to zero and attempt to solve: Simplifying 6 + -1a5 = 0 Solving 6 + -1a5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1a5 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a5 = 0 + -6 -1a5 = 0 + -6 Combine like terms: 0 + -6 = -6 -1a5 = -6 Divide each side by '-1'. a5 = 6 Simplifying a5 = 6 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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