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Simplifying 5.3 = x(x + 0.6)(x + -0.1) Reorder the terms: 5.3 = x(0.6 + x)(x + -0.1) Reorder the terms: 5.3 = x(0.6 + x)(-0.1 + x) Multiply (0.6 + x) * (-0.1 + x) 5.3 = x(0.6(-0.1 + x) + x(-0.1 + x)) 5.3 = x((-0.1 * 0.6 + x * 0.6) + x(-0.1 + x)) 5.3 = x((-0.06 + 0.6x) + x(-0.1 + x)) 5.3 = x(-0.06 + 0.6x + (-0.1 * x + x * x)) 5.3 = x(-0.06 + 0.6x + (-0.1x + x2)) Combine like terms: 0.6x + -0.1x = 0.5x 5.3 = x(-0.06 + 0.5x + x2) 5.3 = (-0.06 * x + 0.5x * x + x2 * x) 5.3 = (-0.06x + 0.5x2 + x3) Solving 5.3 = -0.06x + 0.5x2 + x3 Solving for variable 'x'. Reorder the terms: 5.3 + 0.06x + -0.5x2 + -1x3 = -0.06x + 0.06x + 0.5x2 + -0.5x2 + x3 + -1x3 Combine like terms: -0.06x + 0.06x = 0.00 5.3 + 0.06x + -0.5x2 + -1x3 = 0.00 + 0.5x2 + -0.5x2 + x3 + -1x3 5.3 + 0.06x + -0.5x2 + -1x3 = 0.5x2 + -0.5x2 + x3 + -1x3 Combine like terms: 0.5x2 + -0.5x2 = 0.0 5.3 + 0.06x + -0.5x2 + -1x3 = 0.0 + x3 + -1x3 5.3 + 0.06x + -0.5x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 5.3 + 0.06x + -0.5x2 + -1x3 = 0 The solution to this equation could not be determined.
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