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Simplifying a + (a + -1) + 2x(a + 1) = 49 Reorder the terms: a + (-1 + a) + 2x(a + 1) = 49 Remove parenthesis around (-1 + a) a + -1 + a + 2x(a + 1) = 49 Reorder the terms: a + -1 + a + 2x(1 + a) = 49 a + -1 + a + (1 * 2x + a * 2x) = 49 Reorder the terms: a + -1 + a + (2ax + 2x) = 49 a + -1 + a + (2ax + 2x) = 49 Reorder the terms: -1 + a + a + 2ax + 2x = 49 Combine like terms: a + a = 2a -1 + 2a + 2ax + 2x = 49 Solving -1 + 2a + 2ax + 2x = 49 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2a + 2ax + 1 + 2x = 49 + 1 Reorder the terms: -1 + 1 + 2a + 2ax + 2x = 49 + 1 Combine like terms: -1 + 1 = 0 0 + 2a + 2ax + 2x = 49 + 1 2a + 2ax + 2x = 49 + 1 Combine like terms: 49 + 1 = 50 2a + 2ax + 2x = 50 Add '-2x' to each side of the equation. 2a + 2ax + 2x + -2x = 50 + -2x Combine like terms: 2x + -2x = 0 2a + 2ax + 0 = 50 + -2x 2a + 2ax = 50 + -2x Reorder the terms: -50 + 2a + 2ax + 2x = 50 + -2x + -50 + 2x Reorder the terms: -50 + 2a + 2ax + 2x = 50 + -50 + -2x + 2x Combine like terms: 50 + -50 = 0 -50 + 2a + 2ax + 2x = 0 + -2x + 2x -50 + 2a + 2ax + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -50 + 2a + 2ax + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + a + ax + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + a + ax + x)' equal to zero and attempt to solve: Simplifying -25 + a + ax + x = 0 Solving -25 + a + ax + x = 0 Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + a + ax + 25 + x = 0 + 25 Reorder the terms: -25 + 25 + a + ax + x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + a + ax + x = 0 + 25 a + ax + x = 0 + 25 Combine like terms: 0 + 25 = 25 a + ax + x = 25 Add '-1x' to each side of the equation. a + ax + x + -1x = 25 + -1x Combine like terms: x + -1x = 0 a + ax + 0 = 25 + -1x a + ax = 25 + -1x 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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