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Simplifying 1g(x + 7) + 1g(3x + 1) = 2 Reorder the terms: 1g(7 + x) + 1g(3x + 1) = 2 (7 * 1g + x * 1g) + 1g(3x + 1) = 2 (7g + 1gx) + 1g(3x + 1) = 2 Reorder the terms: 7g + 1gx + 1g(1 + 3x) = 2 7g + 1gx + (1 * 1g + 3x * 1g) = 2 7g + 1gx + (1g + 3gx) = 2 Reorder the terms: 7g + 1g + 1gx + 3gx = 2 Combine like terms: 7g + 1g = 8g 8g + 1gx + 3gx = 2 Combine like terms: 1gx + 3gx = 4gx 8g + 4gx = 2 Solving 8g + 4gx = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 8g + 4gx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 8g + 4gx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 4g + 2gx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 4g + 2gx)' equal to zero and attempt to solve: Simplifying -1 + 4g + 2gx = 0 Solving -1 + 4g + 2gx = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4g + 1 + 2gx = 0 + 1 Reorder the terms: -1 + 1 + 4g + 2gx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4g + 2gx = 0 + 1 4g + 2gx = 0 + 1 Combine like terms: 0 + 1 = 1 4g + 2gx = 1 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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