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Simplifying 0 = x2 + -0.768x + 0.1475 Reorder the terms: 0 = 0.1475 + -0.768x + x2 Solving 0 = 0.1475 + -0.768x + x2 Solving for variable 'x'. Combine like terms: 0 + -0.1475 = -0.1475 -0.1475 + 0.768x + -1x2 = 0.1475 + -0.768x + x2 + -0.1475 + 0.768x + -1x2 Reorder the terms: -0.1475 + 0.768x + -1x2 = 0.1475 + -0.1475 + -0.768x + 0.768x + x2 + -1x2 Combine like terms: 0.1475 + -0.1475 = 0.0000 -0.1475 + 0.768x + -1x2 = 0.0000 + -0.768x + 0.768x + x2 + -1x2 -0.1475 + 0.768x + -1x2 = -0.768x + 0.768x + x2 + -1x2 Combine like terms: -0.768x + 0.768x = 0.000 -0.1475 + 0.768x + -1x2 = 0.000 + x2 + -1x2 -0.1475 + 0.768x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -0.1475 + 0.768x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 0.1475 + -0.768x + x2 = 0 Move the constant term to the right: Add '-0.1475' to each side of the equation. 0.1475 + -0.768x + -0.1475 + x2 = 0 + -0.1475 Reorder the terms: 0.1475 + -0.1475 + -0.768x + x2 = 0 + -0.1475 Combine like terms: 0.1475 + -0.1475 = 0.0000 0.0000 + -0.768x + x2 = 0 + -0.1475 -0.768x + x2 = 0 + -0.1475 Combine like terms: 0 + -0.1475 = -0.1475 -0.768x + x2 = -0.1475 The x term is -0.768x. Take half its coefficient (-0.384). Square it (0.147456) and add it to both sides. Add '0.147456' to each side of the equation. -0.768x + 0.147456 + x2 = -0.1475 + 0.147456 Reorder the terms: 0.147456 + -0.768x + x2 = -0.1475 + 0.147456 Combine like terms: -0.1475 + 0.147456 = -0.000044 0.147456 + -0.768x + x2 = -0.000044 Factor a perfect square on the left side: (x + -0.384)(x + -0.384) = -0.000044 Can't calculate square root of the right side. The solution to this equation could not be determined.
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