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Simplifying (x + 2)(3x + -5) = (x + -8) + 15 Reorder the terms: (2 + x)(3x + -5) = (x + -8) + 15 Reorder the terms: (2 + x)(-5 + 3x) = (x + -8) + 15 Multiply (2 + x) * (-5 + 3x) (2(-5 + 3x) + x(-5 + 3x)) = (x + -8) + 15 ((-5 * 2 + 3x * 2) + x(-5 + 3x)) = (x + -8) + 15 ((-10 + 6x) + x(-5 + 3x)) = (x + -8) + 15 (-10 + 6x + (-5 * x + 3x * x)) = (x + -8) + 15 (-10 + 6x + (-5x + 3x2)) = (x + -8) + 15 Combine like terms: 6x + -5x = 1x (-10 + 1x + 3x2) = (x + -8) + 15 Reorder the terms: -10 + 1x + 3x2 = (-8 + x) + 15 Remove parenthesis around (-8 + x) -10 + 1x + 3x2 = -8 + x + 15 Reorder the terms: -10 + 1x + 3x2 = -8 + 15 + x Combine like terms: -8 + 15 = 7 -10 + 1x + 3x2 = 7 + x Solving -10 + 1x + 3x2 = 7 + x Solving for variable 'x'. Reorder the terms: -10 + -7 + 1x + -1x + 3x2 = 7 + x + -7 + -1x Combine like terms: -10 + -7 = -17 -17 + 1x + -1x + 3x2 = 7 + x + -7 + -1x Combine like terms: 1x + -1x = 0 -17 + 0 + 3x2 = 7 + x + -7 + -1x -17 + 3x2 = 7 + x + -7 + -1x Reorder the terms: -17 + 3x2 = 7 + -7 + x + -1x Combine like terms: 7 + -7 = 0 -17 + 3x2 = 0 + x + -1x -17 + 3x2 = x + -1x Combine like terms: x + -1x = 0 -17 + 3x2 = 0 The solution to this equation could not be determined.
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