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Simplifying (x + -2)(x2 + 6x + 9) = 5(x + 3) Reorder the terms: (-2 + x)(x2 + 6x + 9) = 5(x + 3) Reorder the terms: (-2 + x)(9 + 6x + x2) = 5(x + 3) Multiply (-2 + x) * (9 + 6x + x2) (-2(9 + 6x + x2) + x(9 + 6x + x2)) = 5(x + 3) ((9 * -2 + 6x * -2 + x2 * -2) + x(9 + 6x + x2)) = 5(x + 3) ((-18 + -12x + -2x2) + x(9 + 6x + x2)) = 5(x + 3) (-18 + -12x + -2x2 + (9 * x + 6x * x + x2 * x)) = 5(x + 3) (-18 + -12x + -2x2 + (9x + 6x2 + x3)) = 5(x + 3) Reorder the terms: (-18 + -12x + 9x + -2x2 + 6x2 + x3) = 5(x + 3) Combine like terms: -12x + 9x = -3x (-18 + -3x + -2x2 + 6x2 + x3) = 5(x + 3) Combine like terms: -2x2 + 6x2 = 4x2 (-18 + -3x + 4x2 + x3) = 5(x + 3) Reorder the terms: -18 + -3x + 4x2 + x3 = 5(3 + x) -18 + -3x + 4x2 + x3 = (3 * 5 + x * 5) -18 + -3x + 4x2 + x3 = (15 + 5x) Solving -18 + -3x + 4x2 + x3 = 15 + 5x Solving for variable 'x'. Reorder the terms: -18 + -15 + -3x + -5x + 4x2 + x3 = 15 + 5x + -15 + -5x Combine like terms: -18 + -15 = -33 -33 + -3x + -5x + 4x2 + x3 = 15 + 5x + -15 + -5x Combine like terms: -3x + -5x = -8x -33 + -8x + 4x2 + x3 = 15 + 5x + -15 + -5x Reorder the terms: -33 + -8x + 4x2 + x3 = 15 + -15 + 5x + -5x Combine like terms: 15 + -15 = 0 -33 + -8x + 4x2 + x3 = 0 + 5x + -5x -33 + -8x + 4x2 + x3 = 5x + -5x Combine like terms: 5x + -5x = 0 -33 + -8x + 4x2 + x3 = 0 The solution to this equation could not be determined.
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