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Simplifying (4n + 2) + (2n + -3)(3n + -2) = 6n^{2}+ -9n + 8 Reorder the terms: (2 + 4n) + (2n + -3)(3n + -2) = 6n^{2}+ -9n + 8 Remove parenthesis around (2 + 4n) 2 + 4n + (2n + -3)(3n + -2) = 6n^{2}+ -9n + 8 Reorder the terms: 2 + 4n + (-3 + 2n)(3n + -2) = 6n^{2}+ -9n + 8 Reorder the terms: 2 + 4n + (-3 + 2n)(-2 + 3n) = 6n^{2}+ -9n + 8 Multiply (-3 + 2n) * (-2 + 3n) 2 + 4n + (-3(-2 + 3n) + 2n * (-2 + 3n)) = 6n^{2}+ -9n + 8 2 + 4n + ((-2 * -3 + 3n * -3) + 2n * (-2 + 3n)) = 6n^{2}+ -9n + 8 2 + 4n + ((6 + -9n) + 2n * (-2 + 3n)) = 6n^{2}+ -9n + 8 2 + 4n + (6 + -9n + (-2 * 2n + 3n * 2n)) = 6n^{2}+ -9n + 8 2 + 4n + (6 + -9n + (-4n + 6n^{2})) = 6n^{2}+ -9n + 8 Combine like terms: -9n + -4n = -13n 2 + 4n + (6 + -13n + 6n^{2}) = 6n^{2}+ -9n + 8 Reorder the terms: 2 + 6 + 4n + -13n + 6n^{2}= 6n^{2}+ -9n + 8 Combine like terms: 2 + 6 = 8 8 + 4n + -13n + 6n^{2}= 6n^{2}+ -9n + 8 Combine like terms: 4n + -13n = -9n 8 + -9n + 6n^{2}= 6n^{2}+ -9n + 8 Reorder the terms: 8 + -9n + 6n^{2}= 8 + -9n + 6n^{2}Add '-8' to each side of the equation. 8 + -9n + -8 + 6n^{2}= 8 + -9n + -8 + 6n^{2}Reorder the terms: 8 + -8 + -9n + 6n^{2}= 8 + -9n + -8 + 6n^{2}Combine like terms: 8 + -8 = 0 0 + -9n + 6n^{2}= 8 + -9n + -8 + 6n^{2}-9n + 6n^{2}= 8 + -9n + -8 + 6n^{2}Reorder the terms: -9n + 6n^{2}= 8 + -8 + -9n + 6n^{2}Combine like terms: 8 + -8 = 0 -9n + 6n^{2}= 0 + -9n + 6n^{2}-9n + 6n^{2}= -9n + 6n^{2}Add '9n' to each side of the equation. -9n + 9n + 6n^{2}= -9n + 9n + 6n^{2}Combine like terms: -9n + 9n = 0 0 + 6n^{2}= -9n + 9n + 6n^{2}6n^{2}= -9n + 9n + 6n^{2}Combine like terms: -9n + 9n = 0 6n^{2}= 0 + 6n^{2}6n^{2}= 6n^{2}Add '-6n^{2}' to each side of the equation. 6n^{2}+ -6n^{2}= 6n^{2}+ -6n^{2}Combine like terms: 6n^{2}+ -6n^{2}= 0 0 = 6n^{2}+ -6n^{2}Combine like terms: 6n^{2}+ -6n^{2}= 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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