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Simplifying -4 + 2(6x + -1) = 3(mx + n) Reorder the terms: -4 + 2(-1 + 6x) = 3(mx + n) -4 + (-1 * 2 + 6x * 2) = 3(mx + n) -4 + (-2 + 12x) = 3(mx + n) Combine like terms: -4 + -2 = -6 -6 + 12x = 3(mx + n) -6 + 12x = (mx * 3 + n * 3) -6 + 12x = (3mx + 3n) Solving -6 + 12x = 3mx + 3n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3mx' to each side of the equation. -6 + -3mx + 12x = 3mx + -3mx + 3n Combine like terms: 3mx + -3mx = 0 -6 + -3mx + 12x = 0 + 3n -6 + -3mx + 12x = 3n Add '6' to each side of the equation. -6 + -3mx + 6 + 12x = 6 + 3n Reorder the terms: -6 + 6 + -3mx + 12x = 6 + 3n Combine like terms: -6 + 6 = 0 0 + -3mx + 12x = 6 + 3n -3mx + 12x = 6 + 3n Reorder the terms: -6 + -3mx + -3n + 12x = 6 + 3n + -6 + -3n Reorder the terms: -6 + -3mx + -3n + 12x = 6 + -6 + 3n + -3n Combine like terms: 6 + -6 = 0 -6 + -3mx + -3n + 12x = 0 + 3n + -3n -6 + -3mx + -3n + 12x = 3n + -3n Combine like terms: 3n + -3n = 0 -6 + -3mx + -3n + 12x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -1mx + -1n + 4x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1mx + -1n + 4x)' equal to zero and attempt to solve: Simplifying -2 + -1mx + -1n + 4x = 0 Solving -2 + -1mx + -1n + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1mx + -1n + 2 + 4x = 0 + 2 Reorder the terms: -2 + 2 + -1mx + -1n + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1mx + -1n + 4x = 0 + 2 -1mx + -1n + 4x = 0 + 2 Combine like terms: 0 + 2 = 2 -1mx + -1n + 4x = 2 Add 'n' to each side of the equation. -1mx + -1n + n + 4x = 2 + n Combine like terms: -1n + n = 0 -1mx + 0 + 4x = 2 + n -1mx + 4x = 2 + n 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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