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Simplifying 5.7x2 + -3x + 2 = x2 Reorder the terms: 2 + -3x + 5.7x2 = x2 Solving 2 + -3x + 5.7x2 = x2 Solving for variable 'x'. Combine like terms: 5.7x2 + -1x2 = 4.7x2 2 + -3x + 4.7x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -3x + 4.7x2 = 0 Begin completing the square. Divide all terms by 4.7 the coefficient of the squared term: Divide each side by '4.7'. 0.4255319149 + -0.6382978723x + x2 = 0 Move the constant term to the right: Add '-0.4255319149' to each side of the equation. 0.4255319149 + -0.6382978723x + -0.4255319149 + x2 = 0 + -0.4255319149 Reorder the terms: 0.4255319149 + -0.4255319149 + -0.6382978723x + x2 = 0 + -0.4255319149 Combine like terms: 0.4255319149 + -0.4255319149 = 0.0000000000 0.0000000000 + -0.6382978723x + x2 = 0 + -0.4255319149 -0.6382978723x + x2 = 0 + -0.4255319149 Combine like terms: 0 + -0.4255319149 = -0.4255319149 -0.6382978723x + x2 = -0.4255319149 The x term is -0.6382978723x. Take half its coefficient (-0.3191489362). Square it (0.1018560435) and add it to both sides. Add '0.1018560435' to each side of the equation. -0.6382978723x + 0.1018560435 + x2 = -0.4255319149 + 0.1018560435 Reorder the terms: 0.1018560435 + -0.6382978723x + x2 = -0.4255319149 + 0.1018560435 Combine like terms: -0.4255319149 + 0.1018560435 = -0.3236758714 0.1018560435 + -0.6382978723x + x2 = -0.3236758714 Factor a perfect square on the left side: (x + -0.3191489362)(x + -0.3191489362) = -0.3236758714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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