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Simplifying 0.8x2 + -3.2x + 6.2 = 0 Reorder the terms: 6.2 + -3.2x + 0.8x2 = 0 Solving 6.2 + -3.2x + 0.8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.8 the coefficient of the squared term: Divide each side by '0.8'. 7.75 + -4x + x2 = 0 Move the constant term to the right: Add '-7.75' to each side of the equation. 7.75 + -4x + -7.75 + x2 = 0 + -7.75 Reorder the terms: 7.75 + -7.75 + -4x + x2 = 0 + -7.75 Combine like terms: 7.75 + -7.75 = 0.00 0.00 + -4x + x2 = 0 + -7.75 -4x + x2 = 0 + -7.75 Combine like terms: 0 + -7.75 = -7.75 -4x + x2 = -7.75 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -7.75 + 4 Reorder the terms: 4 + -4x + x2 = -7.75 + 4 Combine like terms: -7.75 + 4 = -3.75 4 + -4x + x2 = -3.75 Factor a perfect square on the left side: (x + -2)(x + -2) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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