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Simplifying 0 = (x + 0.6)(x + 0.6)(x + -0.4) + 0.148 Reorder the terms: 0 = (0.6 + x)(x + 0.6)(x + -0.4) + 0.148 Reorder the terms: 0 = (0.6 + x)(0.6 + x)(x + -0.4) + 0.148 Reorder the terms: 0 = (0.6 + x)(0.6 + x)(-0.4 + x) + 0.148 Multiply (0.6 + x) * (0.6 + x) 0 = (0.6(0.6 + x) + x(0.6 + x))(-0.4 + x) + 0.148 0 = ((0.6 * 0.6 + x * 0.6) + x(0.6 + x))(-0.4 + x) + 0.148 0 = ((0.36 + 0.6x) + x(0.6 + x))(-0.4 + x) + 0.148 0 = (0.36 + 0.6x + (0.6 * x + x * x))(-0.4 + x) + 0.148 0 = (0.36 + 0.6x + (0.6x + x2))(-0.4 + x) + 0.148 Combine like terms: 0.6x + 0.6x = 1.2x 0 = (0.36 + 1.2x + x2)(-0.4 + x) + 0.148 Multiply (0.36 + 1.2x + x2) * (-0.4 + x) 0 = (0.36(-0.4 + x) + 1.2x * (-0.4 + x) + x2(-0.4 + x)) + 0.148 0 = ((-0.4 * 0.36 + x * 0.36) + 1.2x * (-0.4 + x) + x2(-0.4 + x)) + 0.148 0 = ((-0.144 + 0.36x) + 1.2x * (-0.4 + x) + x2(-0.4 + x)) + 0.148 0 = (-0.144 + 0.36x + (-0.4 * 1.2x + x * 1.2x) + x2(-0.4 + x)) + 0.148 0 = (-0.144 + 0.36x + (-0.48x + 1.2x2) + x2(-0.4 + x)) + 0.148 0 = (-0.144 + 0.36x + -0.48x + 1.2x2 + (-0.4 * x2 + x * x2)) + 0.148 0 = (-0.144 + 0.36x + -0.48x + 1.2x2 + (-0.4x2 + x3)) + 0.148 Combine like terms: 0.36x + -0.48x = -0.12x 0 = (-0.144 + -0.12x + 1.2x2 + -0.4x2 + x3) + 0.148 Combine like terms: 1.2x2 + -0.4x2 = 0.8x2 0 = (-0.144 + -0.12x + 0.8x2 + x3) + 0.148 Reorder the terms: 0 = -0.144 + 0.148 + -0.12x + 0.8x2 + x3 Combine like terms: -0.144 + 0.148 = 0.004 0 = 0.004 + -0.12x + 0.8x2 + x3 Solving 0 = 0.004 + -0.12x + 0.8x2 + x3 Solving for variable 'x'. Combine like terms: 0 + -0.004 = -0.004 -0.004 + 0.12x + -0.8x2 + -1x3 = 0.004 + -0.12x + 0.8x2 + x3 + -0.004 + 0.12x + -0.8x2 + -1x3 Reorder the terms: -0.004 + 0.12x + -0.8x2 + -1x3 = 0.004 + -0.004 + -0.12x + 0.12x + 0.8x2 + -0.8x2 + x3 + -1x3 Combine like terms: 0.004 + -0.004 = 0.000 -0.004 + 0.12x + -0.8x2 + -1x3 = 0.000 + -0.12x + 0.12x + 0.8x2 + -0.8x2 + x3 + -1x3 -0.004 + 0.12x + -0.8x2 + -1x3 = -0.12x + 0.12x + 0.8x2 + -0.8x2 + x3 + -1x3 Combine like terms: -0.12x + 0.12x = 0.00 -0.004 + 0.12x + -0.8x2 + -1x3 = 0.00 + 0.8x2 + -0.8x2 + x3 + -1x3 -0.004 + 0.12x + -0.8x2 + -1x3 = 0.8x2 + -0.8x2 + x3 + -1x3 Combine like terms: 0.8x2 + -0.8x2 = 0.0 -0.004 + 0.12x + -0.8x2 + -1x3 = 0.0 + x3 + -1x3 -0.004 + 0.12x + -0.8x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -0.004 + 0.12x + -0.8x2 + -1x3 = 0 The solution to this equation could not be determined.
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