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Simplifying (16x + -4) = n(14x + 34) Reorder the terms: (-4 + 16x) = n(14x + 34) Remove parenthesis around (-4 + 16x) -4 + 16x = n(14x + 34) Reorder the terms: -4 + 16x = n(34 + 14x) -4 + 16x = (34 * n + 14x * n) -4 + 16x = (34n + 14nx) Solving -4 + 16x = 34n + 14nx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14nx' to each side of the equation. -4 + -14nx + 16x = 34n + 14nx + -14nx Combine like terms: 14nx + -14nx = 0 -4 + -14nx + 16x = 34n + 0 -4 + -14nx + 16x = 34n Add '4' to each side of the equation. -4 + -14nx + 4 + 16x = 4 + 34n Reorder the terms: -4 + 4 + -14nx + 16x = 4 + 34n Combine like terms: -4 + 4 = 0 0 + -14nx + 16x = 4 + 34n -14nx + 16x = 4 + 34n Reorder the terms: -4 + -34n + -14nx + 16x = 4 + 34n + -4 + -34n Reorder the terms: -4 + -34n + -14nx + 16x = 4 + -4 + 34n + -34n Combine like terms: 4 + -4 = 0 -4 + -34n + -14nx + 16x = 0 + 34n + -34n -4 + -34n + -14nx + 16x = 34n + -34n Combine like terms: 34n + -34n = 0 -4 + -34n + -14nx + 16x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -17n + -7nx + 8x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -17n + -7nx + 8x)' equal to zero and attempt to solve: Simplifying -2 + -17n + -7nx + 8x = 0 Solving -2 + -17n + -7nx + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -17n + -7nx + 2 + 8x = 0 + 2 Reorder the terms: -2 + 2 + -17n + -7nx + 8x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -17n + -7nx + 8x = 0 + 2 -17n + -7nx + 8x = 0 + 2 Combine like terms: 0 + 2 = 2 -17n + -7nx + 8x = 2 Add '17n' to each side of the equation. -17n + -7nx + 17n + 8x = 2 + 17n Reorder the terms: -17n + 17n + -7nx + 8x = 2 + 17n Combine like terms: -17n + 17n = 0 0 + -7nx + 8x = 2 + 17n -7nx + 8x = 2 + 17n 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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