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Simplifying (x + 2)(3x + 10) = 3(m + 5) + 15 Reorder the terms: (2 + x)(3x + 10) = 3(m + 5) + 15 Reorder the terms: (2 + x)(10 + 3x) = 3(m + 5) + 15 Multiply (2 + x) * (10 + 3x) (2(10 + 3x) + x(10 + 3x)) = 3(m + 5) + 15 ((10 * 2 + 3x * 2) + x(10 + 3x)) = 3(m + 5) + 15 ((20 + 6x) + x(10 + 3x)) = 3(m + 5) + 15 (20 + 6x + (10 * x + 3x * x)) = 3(m + 5) + 15 (20 + 6x + (10x + 3x2)) = 3(m + 5) + 15 Combine like terms: 6x + 10x = 16x (20 + 16x + 3x2) = 3(m + 5) + 15 Reorder the terms: 20 + 16x + 3x2 = 3(5 + m) + 15 20 + 16x + 3x2 = (5 * 3 + m * 3) + 15 20 + 16x + 3x2 = (15 + 3m) + 15 Reorder the terms: 20 + 16x + 3x2 = 15 + 15 + 3m Combine like terms: 15 + 15 = 30 20 + 16x + 3x2 = 30 + 3m Solving 20 + 16x + 3x2 = 30 + 3m Solving for variable 'x'. Reorder the terms: 20 + -30 + -3m + 16x + 3x2 = 30 + 3m + -30 + -3m Combine like terms: 20 + -30 = -10 -10 + -3m + 16x + 3x2 = 30 + 3m + -30 + -3m Reorder the terms: -10 + -3m + 16x + 3x2 = 30 + -30 + 3m + -3m Combine like terms: 30 + -30 = 0 -10 + -3m + 16x + 3x2 = 0 + 3m + -3m -10 + -3m + 16x + 3x2 = 3m + -3m Combine like terms: 3m + -3m = 0 -10 + -3m + 16x + 3x2 = 0 The solution to this equation could not be determined.
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