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Simplifying (nx + 3)(x + -4) = 2x2 + -1mx + -12 Reorder the terms: (3 + nx)(x + -4) = 2x2 + -1mx + -12 Reorder the terms: (3 + nx)(-4 + x) = 2x2 + -1mx + -12 Multiply (3 + nx) * (-4 + x) (3(-4 + x) + nx(-4 + x)) = 2x2 + -1mx + -12 ((-4 * 3 + x * 3) + nx(-4 + x)) = 2x2 + -1mx + -12 ((-12 + 3x) + nx(-4 + x)) = 2x2 + -1mx + -12 (-12 + 3x + (-4 * nx + x * nx)) = 2x2 + -1mx + -12 (-12 + 3x + (-4nx + nx2)) = 2x2 + -1mx + -12 Reorder the terms: (-12 + -4nx + nx2 + 3x) = 2x2 + -1mx + -12 (-12 + -4nx + nx2 + 3x) = 2x2 + -1mx + -12 Reorder the terms: -12 + -4nx + nx2 + 3x = -12 + -1mx + 2x2 Add '12' to each side of the equation. -12 + -4nx + nx2 + 12 + 3x = -12 + -1mx + 12 + 2x2 Reorder the terms: -12 + 12 + -4nx + nx2 + 3x = -12 + -1mx + 12 + 2x2 Combine like terms: -12 + 12 = 0 0 + -4nx + nx2 + 3x = -12 + -1mx + 12 + 2x2 -4nx + nx2 + 3x = -12 + -1mx + 12 + 2x2 Reorder the terms: -4nx + nx2 + 3x = -12 + 12 + -1mx + 2x2 Combine like terms: -12 + 12 = 0 -4nx + nx2 + 3x = 0 + -1mx + 2x2 -4nx + nx2 + 3x = -1mx + 2x2 Solving -4nx + nx2 + 3x = -1mx + 2x2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3x' to each side of the equation. -4nx + nx2 + 3x + -3x = -1mx + -3x + 2x2 Combine like terms: 3x + -3x = 0 -4nx + nx2 + 0 = -1mx + -3x + 2x2 -4nx + nx2 = -1mx + -3x + 2x2 Reorder the terms: mx + -4nx + nx2 + 3x + -2x2 = -1mx + -3x + 2x2 + mx + 3x + -2x2 Reorder the terms: mx + -4nx + nx2 + 3x + -2x2 = -1mx + mx + -3x + 3x + 2x2 + -2x2 Combine like terms: -1mx + mx = 0 mx + -4nx + nx2 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2 mx + -4nx + nx2 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 mx + -4nx + nx2 + 3x + -2x2 = 0 + 2x2 + -2x2 mx + -4nx + nx2 + 3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 mx + -4nx + nx2 + 3x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(m + -4n + nx + 3 + -2x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing n to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(m + -4n + nx + 3 + -2x)' equal to zero and attempt to solve: Simplifying m + -4n + nx + 3 + -2x = 0 Reorder the terms: 3 + m + -4n + nx + -2x = 0 Solving 3 + m + -4n + nx + -2x = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + m + -4n + nx + -3 + -2x = 0 + -3 Reorder the terms: 3 + -3 + m + -4n + nx + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m + -4n + nx + -2x = 0 + -3 m + -4n + nx + -2x = 0 + -3 Combine like terms: 0 + -3 = -3 m + -4n + nx + -2x = -3 Add '-1m' to each side of the equation. m + -4n + nx + -1m + -2x = -3 + -1m Reorder the terms: m + -1m + -4n + nx + -2x = -3 + -1m Combine like terms: m + -1m = 0 0 + -4n + nx + -2x = -3 + -1m -4n + nx + -2x = -3 + -1m Add '2x' to each side of the equation. -4n + nx + -2x + 2x = -3 + -1m + 2x Combine like terms: -2x + 2x = 0 -4n + nx + 0 = -3 + -1m + 2x -4n + nx = -3 + -1m + 2x 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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