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Simplifying 6x(a + -5) + -2 = 2a Reorder the terms: 6x(-5 + a) + -2 = 2a (-5 * 6x + a * 6x) + -2 = 2a Reorder the terms: (6ax + -30x) + -2 = 2a (6ax + -30x) + -2 = 2a Reorder the terms: -2 + 6ax + -30x = 2a Solving -2 + 6ax + -30x = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2 + 6ax + -2a + -30x = 2a + -2a Reorder the terms: -2 + -2a + 6ax + -30x = 2a + -2a Combine like terms: 2a + -2a = 0 -2 + -2a + 6ax + -30x = 0 Add '2' to each side of the equation. -2 + -2a + 6ax + 2 + -30x = 0 + 2 Reorder the terms: -2 + 2 + -2a + 6ax + -30x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2a + 6ax + -30x = 0 + 2 -2a + 6ax + -30x = 0 + 2 Combine like terms: 0 + 2 = 2 -2a + 6ax + -30x = 2 Add '30x' to each side of the equation. -2a + 6ax + -30x + 30x = 2 + 30x Combine like terms: -30x + 30x = 0 -2a + 6ax + 0 = 2 + 30x -2a + 6ax = 2 + 30x Reorder the terms: -2 + -2a + 6ax + -30x = 2 + 30x + -2 + -30x Reorder the terms: -2 + -2a + 6ax + -30x = 2 + -2 + 30x + -30x Combine like terms: 2 + -2 = 0 -2 + -2a + 6ax + -30x = 0 + 30x + -30x -2 + -2a + 6ax + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 -2 + -2a + 6ax + -30x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -1a + 3ax + -15x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1a + 3ax + -15x)' equal to zero and attempt to solve: Simplifying -1 + -1a + 3ax + -15x = 0 Solving -1 + -1a + 3ax + -15x = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1a + 3ax + 1 + -15x = 0 + 1 Reorder the terms: -1 + 1 + -1a + 3ax + -15x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1a + 3ax + -15x = 0 + 1 -1a + 3ax + -15x = 0 + 1 Combine like terms: 0 + 1 = 1 -1a + 3ax + -15x = 1 Add '15x' to each side of the equation. -1a + 3ax + -15x + 15x = 1 + 15x Combine like terms: -15x + 15x = 0 -1a + 3ax + 0 = 1 + 15x -1a + 3ax = 1 + 15x 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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