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Simplifying 2x(x + -0.5)(x + 1) = 3x(x + -0.5) Reorder the terms: 2x(-0.5 + x)(x + 1) = 3x(x + -0.5) Reorder the terms: 2x(-0.5 + x)(1 + x) = 3x(x + -0.5) Multiply (-0.5 + x) * (1 + x) 2x(-0.5(1 + x) + x(1 + x)) = 3x(x + -0.5) 2x((1 * -0.5 + x * -0.5) + x(1 + x)) = 3x(x + -0.5) 2x((-0.5 + -0.5x) + x(1 + x)) = 3x(x + -0.5) 2x(-0.5 + -0.5x + (1 * x + x * x)) = 3x(x + -0.5) 2x(-0.5 + -0.5x + (1x + x2)) = 3x(x + -0.5) Combine like terms: -0.5x + 1x = 0.5x 2x(-0.5 + 0.5x + x2) = 3x(x + -0.5) (-0.5 * 2x + 0.5x * 2x + x2 * 2x) = 3x(x + -0.5) (-1x + 1x2 + 2x3) = 3x(x + -0.5) Reorder the terms: -1x + 1x2 + 2x3 = 3x(-0.5 + x) -1x + 1x2 + 2x3 = (-0.5 * 3x + x * 3x) -1x + 1x2 + 2x3 = (-1.5x + 3x2) Solving -1x + 1x2 + 2x3 = -1.5x + 3x2 Solving for variable 'x'. Reorder the terms: -1x + 1.5x + 1x2 + -3x2 + 2x3 = -1.5x + 3x2 + 1.5x + -3x2 Combine like terms: -1x + 1.5x = 0.5x 0.5x + 1x2 + -3x2 + 2x3 = -1.5x + 3x2 + 1.5x + -3x2 Combine like terms: 1x2 + -3x2 = -2x2 0.5x + -2x2 + 2x3 = -1.5x + 3x2 + 1.5x + -3x2 Reorder the terms: 0.5x + -2x2 + 2x3 = -1.5x + 1.5x + 3x2 + -3x2 Combine like terms: -1.5x + 1.5x = 0.0 0.5x + -2x2 + 2x3 = 0.0 + 3x2 + -3x2 0.5x + -2x2 + 2x3 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0.5x + -2x2 + 2x3 = 0 The solution to this equation could not be determined.
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