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Simplifying (3x + -2) * x(x + 1) = 18x + 4 Reorder the terms: (-2 + 3x) * x(x + 1) = 18x + 4 Reorder the terms: (-2 + 3x) * x(1 + x) = 18x + 4 Reorder the terms for easier multiplication: x(-2 + 3x)(1 + x) = 18x + 4 Multiply (-2 + 3x) * (1 + x) x(-2(1 + x) + 3x * (1 + x)) = 18x + 4 x((1 * -2 + x * -2) + 3x * (1 + x)) = 18x + 4 x((-2 + -2x) + 3x * (1 + x)) = 18x + 4 x(-2 + -2x + (1 * 3x + x * 3x)) = 18x + 4 x(-2 + -2x + (3x + 3x2)) = 18x + 4 Combine like terms: -2x + 3x = 1x x(-2 + 1x + 3x2) = 18x + 4 (-2 * x + 1x * x + 3x2 * x) = 18x + 4 (-2x + 1x2 + 3x3) = 18x + 4 Reorder the terms: -2x + 1x2 + 3x3 = 4 + 18x Solving -2x + 1x2 + 3x3 = 4 + 18x Solving for variable 'x'. Reorder the terms: -4 + -2x + -18x + 1x2 + 3x3 = 4 + 18x + -4 + -18x Combine like terms: -2x + -18x = -20x -4 + -20x + 1x2 + 3x3 = 4 + 18x + -4 + -18x Reorder the terms: -4 + -20x + 1x2 + 3x3 = 4 + -4 + 18x + -18x Combine like terms: 4 + -4 = 0 -4 + -20x + 1x2 + 3x3 = 0 + 18x + -18x -4 + -20x + 1x2 + 3x3 = 18x + -18x Combine like terms: 18x + -18x = 0 -4 + -20x + 1x2 + 3x3 = 0 The solution to this equation could not be determined.
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