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Simplifying (x + 3)(2x + 5) = 2X + 5X + 6X + 15 Reorder the terms: (3 + x)(2x + 5) = 2X + 5X + 6X + 15 Reorder the terms: (3 + x)(5 + 2x) = 2X + 5X + 6X + 15 Multiply (3 + x) * (5 + 2x) (3(5 + 2x) + x(5 + 2x)) = 2X + 5X + 6X + 15 ((5 * 3 + 2x * 3) + x(5 + 2x)) = 2X + 5X + 6X + 15 ((15 + 6x) + x(5 + 2x)) = 2X + 5X + 6X + 15 (15 + 6x + (5 * x + 2x * x)) = 2X + 5X + 6X + 15 (15 + 6x + (5x + 2x2)) = 2X + 5X + 6X + 15 Combine like terms: 6x + 5x = 11x (15 + 11x + 2x2) = 2X + 5X + 6X + 15 Reorder the terms: 15 + 11x + 2x2 = 15 + 2X + 5X + 6X Combine like terms: 2X + 5X = 7X 15 + 11x + 2x2 = 15 + 7X + 6X Combine like terms: 7X + 6X = 13X 15 + 11x + 2x2 = 15 + 13X Add '-15' to each side of the equation. 15 + 11x + -15 + 2x2 = 15 + -15 + 13X Reorder the terms: 15 + -15 + 11x + 2x2 = 15 + -15 + 13X Combine like terms: 15 + -15 = 0 0 + 11x + 2x2 = 15 + -15 + 13X 11x + 2x2 = 15 + -15 + 13X Combine like terms: 15 + -15 = 0 11x + 2x2 = 0 + 13X 11x + 2x2 = 13X Solving 11x + 2x2 = 13X Solving for variable 'x'. Reorder the terms: -13X + 11x + 2x2 = 13X + -13X Combine like terms: 13X + -13X = 0 -13X + 11x + 2x2 = 0 The solution to this equation could not be determined.
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