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Simplifying 0 = 1.02x2 + 0.12x + 0.012 Reorder the terms: 0 = 0.012 + 0.12x + 1.02x2 Solving 0 = 0.012 + 0.12x + 1.02x2 Solving for variable 'x'. Combine like terms: 0 + -0.012 = -0.012 -0.012 + -0.12x + -1.02x2 = 0.012 + 0.12x + 1.02x2 + -0.012 + -0.12x + -1.02x2 Reorder the terms: -0.012 + -0.12x + -1.02x2 = 0.012 + -0.012 + 0.12x + -0.12x + 1.02x2 + -1.02x2 Combine like terms: 0.012 + -0.012 = 0.000 -0.012 + -0.12x + -1.02x2 = 0.000 + 0.12x + -0.12x + 1.02x2 + -1.02x2 -0.012 + -0.12x + -1.02x2 = 0.12x + -0.12x + 1.02x2 + -1.02x2 Combine like terms: 0.12x + -0.12x = 0.00 -0.012 + -0.12x + -1.02x2 = 0.00 + 1.02x2 + -1.02x2 -0.012 + -0.12x + -1.02x2 = 1.02x2 + -1.02x2 Combine like terms: 1.02x2 + -1.02x2 = 0.00 -0.012 + -0.12x + -1.02x2 = 0.00 Begin completing the square. Divide all terms by -1.02 the coefficient of the squared term: Divide each side by '-1.02'. 0.01176470588 + 0.1176470588x + x2 = 0 Move the constant term to the right: Add '-0.01176470588' to each side of the equation. 0.01176470588 + 0.1176470588x + -0.01176470588 + x2 = 0 + -0.01176470588 Reorder the terms: 0.01176470588 + -0.01176470588 + 0.1176470588x + x2 = 0 + -0.01176470588 Combine like terms: 0.01176470588 + -0.01176470588 = 0.00000000000 0.00000000000 + 0.1176470588x + x2 = 0 + -0.01176470588 0.1176470588x + x2 = 0 + -0.01176470588 Combine like terms: 0 + -0.01176470588 = -0.01176470588 0.1176470588x + x2 = -0.01176470588 The x term is 0.1176470588x. Take half its coefficient (0.0588235294). Square it (0.003460207611) and add it to both sides. Add '0.003460207611' to each side of the equation. 0.1176470588x + 0.003460207611 + x2 = -0.01176470588 + 0.003460207611 Reorder the terms: 0.003460207611 + 0.1176470588x + x2 = -0.01176470588 + 0.003460207611 Combine like terms: -0.01176470588 + 0.003460207611 = -0.008304498269 0.003460207611 + 0.1176470588x + x2 = -0.008304498269 Factor a perfect square on the left side: (x + 0.0588235294)(x + 0.0588235294) = -0.008304498269 Can't calculate square root of the right side. The solution to this equation could not be determined.
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