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Simplifying m(n + -3) + 2(n + -3) = (n + -3)(m + 2) Reorder the terms: m(-3 + n) + 2(n + -3) = (n + -3)(m + 2) (-3 * m + n * m) + 2(n + -3) = (n + -3)(m + 2) (-3m + mn) + 2(n + -3) = (n + -3)(m + 2) Reorder the terms: -3m + mn + 2(-3 + n) = (n + -3)(m + 2) -3m + mn + (-3 * 2 + n * 2) = (n + -3)(m + 2) -3m + mn + (-6 + 2n) = (n + -3)(m + 2) Reorder the terms: -6 + -3m + mn + 2n = (n + -3)(m + 2) Reorder the terms: -6 + -3m + mn + 2n = (-3 + n)(m + 2) Reorder the terms: -6 + -3m + mn + 2n = (-3 + n)(2 + m) Multiply (-3 + n) * (2 + m) -6 + -3m + mn + 2n = (-3(2 + m) + n(2 + m)) -6 + -3m + mn + 2n = ((2 * -3 + m * -3) + n(2 + m)) -6 + -3m + mn + 2n = ((-6 + -3m) + n(2 + m)) -6 + -3m + mn + 2n = (-6 + -3m + (2 * n + m * n)) Reorder the terms: -6 + -3m + mn + 2n = (-6 + -3m + (mn + 2n)) -6 + -3m + mn + 2n = (-6 + -3m + (mn + 2n)) -6 + -3m + mn + 2n = (-6 + -3m + mn + 2n) Add '6' to each side of the equation. -6 + -3m + mn + 6 + 2n = -6 + -3m + mn + 6 + 2n Reorder the terms: -6 + 6 + -3m + mn + 2n = -6 + -3m + mn + 6 + 2n Combine like terms: -6 + 6 = 0 0 + -3m + mn + 2n = -6 + -3m + mn + 6 + 2n -3m + mn + 2n = -6 + -3m + mn + 6 + 2n Reorder the terms: -3m + mn + 2n = -6 + 6 + -3m + mn + 2n Combine like terms: -6 + 6 = 0 -3m + mn + 2n = 0 + -3m + mn + 2n -3m + mn + 2n = -3m + mn + 2n Add '3m' to each side of the equation. -3m + mn + 3m + 2n = -3m + mn + 3m + 2n Reorder the terms: -3m + 3m + mn + 2n = -3m + mn + 3m + 2n Combine like terms: -3m + 3m = 0 0 + mn + 2n = -3m + mn + 3m + 2n mn + 2n = -3m + mn + 3m + 2n Reorder the terms: mn + 2n = -3m + 3m + mn + 2n Combine like terms: -3m + 3m = 0 mn + 2n = 0 + mn + 2n mn + 2n = mn + 2n Add '-1mn' to each side of the equation. mn + -1mn + 2n = mn + -1mn + 2n Combine like terms: mn + -1mn = 0 0 + 2n = mn + -1mn + 2n 2n = mn + -1mn + 2n Combine like terms: mn + -1mn = 0 2n = 0 + 2n 2n = 2n Add '-2n' to each side of the equation. 2n + -2n = 2n + -2n Combine like terms: 2n + -2n = 0 0 = 2n + -2n Combine like terms: 2n + -2n = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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