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Simplifying (3x2 + 1)(x + -3) = 2 + 3(x + 5) Reorder the terms: (1 + 3x2)(x + -3) = 2 + 3(x + 5) Reorder the terms: (1 + 3x2)(-3 + x) = 2 + 3(x + 5) Multiply (1 + 3x2) * (-3 + x) (1(-3 + x) + 3x2 * (-3 + x)) = 2 + 3(x + 5) ((-3 * 1 + x * 1) + 3x2 * (-3 + x)) = 2 + 3(x + 5) ((-3 + 1x) + 3x2 * (-3 + x)) = 2 + 3(x + 5) (-3 + 1x + (-3 * 3x2 + x * 3x2)) = 2 + 3(x + 5) (-3 + 1x + (-9x2 + 3x3)) = 2 + 3(x + 5) (-3 + 1x + -9x2 + 3x3) = 2 + 3(x + 5) Reorder the terms: -3 + 1x + -9x2 + 3x3 = 2 + 3(5 + x) -3 + 1x + -9x2 + 3x3 = 2 + (5 * 3 + x * 3) -3 + 1x + -9x2 + 3x3 = 2 + (15 + 3x) Combine like terms: 2 + 15 = 17 -3 + 1x + -9x2 + 3x3 = 17 + 3x Solving -3 + 1x + -9x2 + 3x3 = 17 + 3x Solving for variable 'x'. Reorder the terms: -3 + -17 + 1x + -3x + -9x2 + 3x3 = 17 + 3x + -17 + -3x Combine like terms: -3 + -17 = -20 -20 + 1x + -3x + -9x2 + 3x3 = 17 + 3x + -17 + -3x Combine like terms: 1x + -3x = -2x -20 + -2x + -9x2 + 3x3 = 17 + 3x + -17 + -3x Reorder the terms: -20 + -2x + -9x2 + 3x3 = 17 + -17 + 3x + -3x Combine like terms: 17 + -17 = 0 -20 + -2x + -9x2 + 3x3 = 0 + 3x + -3x -20 + -2x + -9x2 + 3x3 = 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -2x + -9x2 + 3x3 = 0 The solution to this equation could not be determined.
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