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Simplifying (6a + -1x) * 5a = xa2 + -35a Reorder the terms for easier multiplication: 5a(6a + -1x) = xa2 + -35a (6a * 5a + -1x * 5a) = xa2 + -35a Reorder the terms: (-5ax + 30a2) = xa2 + -35a (-5ax + 30a2) = xa2 + -35a Reorder the terms: -5ax + 30a2 = -35a + a2x Solving -5ax + 30a2 = -35a + a2x Solving for variable 'a'. Reorder the terms: 35a + -5ax + 30a2 + -1a2x = -35a + a2x + 35a + -1a2x Reorder the terms: 35a + -5ax + 30a2 + -1a2x = -35a + 35a + a2x + -1a2x Combine like terms: -35a + 35a = 0 35a + -5ax + 30a2 + -1a2x = 0 + a2x + -1a2x 35a + -5ax + 30a2 + -1a2x = a2x + -1a2x Combine like terms: a2x + -1a2x = 0 35a + -5ax + 30a2 + -1a2x = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(35 + -5x + 30a + -1ax) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(35 + -5x + 30a + -1ax)' equal to zero and attempt to solve: Simplifying 35 + -5x + 30a + -1ax = 0 Reorder the terms: 35 + 30a + -1ax + -5x = 0 Solving 35 + 30a + -1ax + -5x = 0 Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 30a + -1ax + -35 + -5x = 0 + -35 Reorder the terms: 35 + -35 + 30a + -1ax + -5x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 30a + -1ax + -5x = 0 + -35 30a + -1ax + -5x = 0 + -35 Combine like terms: 0 + -35 = -35 30a + -1ax + -5x = -35 Add '5x' to each side of the equation. 30a + -1ax + -5x + 5x = -35 + 5x Combine like terms: -5x + 5x = 0 30a + -1ax + 0 = -35 + 5x 30a + -1ax = -35 + 5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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