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Simplifying 3 = -2x2 + 1.3x Reorder the terms: 3 = 1.3x + -2x2 Solving 3 = 1.3x + -2x2 Solving for variable 'x'. Reorder the terms: 3 + -1.3x + 2x2 = 1.3x + -1.3x + -2x2 + 2x2 Combine like terms: 1.3x + -1.3x = 0.0 3 + -1.3x + 2x2 = 0.0 + -2x2 + 2x2 3 + -1.3x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3 + -1.3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + -0.65x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.65x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.65x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.65x + x2 = 0 + -1.5 -0.65x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.65x + x2 = -1.5 The x term is -0.65x. Take half its coefficient (-0.325). Square it (0.105625) and add it to both sides. Add '0.105625' to each side of the equation. -0.65x + 0.105625 + x2 = -1.5 + 0.105625 Reorder the terms: 0.105625 + -0.65x + x2 = -1.5 + 0.105625 Combine like terms: -1.5 + 0.105625 = -1.394375 0.105625 + -0.65x + x2 = -1.394375 Factor a perfect square on the left side: (x + -0.325)(x + -0.325) = -1.394375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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