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Simplifying 4x = (2x + 3)(m + 3) Reorder the terms: 4x = (3 + 2x)(m + 3) Reorder the terms: 4x = (3 + 2x)(3 + m) Multiply (3 + 2x) * (3 + m) 4x = (3(3 + m) + 2x * (3 + m)) 4x = ((3 * 3 + m * 3) + 2x * (3 + m)) 4x = ((9 + 3m) + 2x * (3 + m)) 4x = (9 + 3m + (3 * 2x + m * 2x)) Reorder the terms: 4x = (9 + 3m + (2mx + 6x)) 4x = (9 + 3m + (2mx + 6x)) 4x = (9 + 3m + 2mx + 6x) Solving 4x = 9 + 3m + 2mx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2mx' to each side of the equation. -2mx + 4x = 9 + 3m + 2mx + -2mx + 6x Combine like terms: 2mx + -2mx = 0 -2mx + 4x = 9 + 3m + 0 + 6x -2mx + 4x = 9 + 3m + 6x Add '-6x' to each side of the equation. -2mx + 4x + -6x = 9 + 3m + 6x + -6x Combine like terms: 4x + -6x = -2x -2mx + -2x = 9 + 3m + 6x + -6x Combine like terms: 6x + -6x = 0 -2mx + -2x = 9 + 3m + 0 -2mx + -2x = 9 + 3m Reorder the terms: -9 + -3m + -2mx + -2x = 9 + 3m + -9 + -3m Reorder the terms: -9 + -3m + -2mx + -2x = 9 + -9 + 3m + -3m Combine like terms: 9 + -9 = 0 -9 + -3m + -2mx + -2x = 0 + 3m + -3m -9 + -3m + -2mx + -2x = 3m + -3m Combine like terms: 3m + -3m = 0 -9 + -3m + -2mx + -2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 3m + 2mx + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 3m + 2mx + 2x)' equal to zero and attempt to solve: Simplifying 9 + 3m + 2mx + 2x = 0 Solving 9 + 3m + 2mx + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3m + 2mx + -9 + 2x = 0 + -9 Reorder the terms: 9 + -9 + 3m + 2mx + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3m + 2mx + 2x = 0 + -9 3m + 2mx + 2x = 0 + -9 Combine like terms: 0 + -9 = -9 3m + 2mx + 2x = -9 Add '-3m' to each side of the equation. 3m + 2mx + -3m + 2x = -9 + -3m Reorder the terms: 3m + -3m + 2mx + 2x = -9 + -3m Combine like terms: 3m + -3m = 0 0 + 2mx + 2x = -9 + -3m 2mx + 2x = -9 + -3m 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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