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Simplifying 0.0000000000089 = x((0.1 + x)(0.1 + x)) Multiply (0.1 + x) * (0.1 + x) 0.0000000000089 = x((0.1(0.1 + x) + x(0.1 + x))) 0.0000000000089 = x(((0.1 * 0.1 + x * 0.1) + x(0.1 + x))) 0.0000000000089 = x(((0.01 + 0.1x) + x(0.1 + x))) 0.0000000000089 = x((0.01 + 0.1x + (0.1 * x + x * x))) 0.0000000000089 = x((0.01 + 0.1x + (0.1x + x2))) Combine like terms: 0.1x + 0.1x = 0.2x 0.0000000000089 = x((0.01 + 0.2x + x2)) 0.0000000000089 = (0.01 * x + 0.2x * x + x2 * x) 0.0000000000089 = (0.01x + 0.2x2 + x3) Solving 0.0000000000089 = 0.01x + 0.2x2 + x3 Solving for variable 'x'. Reorder the terms: 0.0000000000089 + -0.01x + -0.2x2 + -1x3 = 0.01x + -0.01x + 0.2x2 + -0.2x2 + x3 + -1x3 Combine like terms: 0.01x + -0.01x = 0.00 0.0000000000089 + -0.01x + -0.2x2 + -1x3 = 0.00 + 0.2x2 + -0.2x2 + x3 + -1x3 0.0000000000089 + -0.01x + -0.2x2 + -1x3 = 0.2x2 + -0.2x2 + x3 + -1x3 Combine like terms: 0.2x2 + -0.2x2 = 0.0 0.0000000000089 + -0.01x + -0.2x2 + -1x3 = 0.0 + x3 + -1x3 0.0000000000089 + -0.01x + -0.2x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 0.0000000000089 + -0.01x + -0.2x2 + -1x3 = 0 The solution to this equation could not be determined.
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