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Simplifying 0 = 8x2 + 0.24x + 0.48 Reorder the terms: 0 = 0.48 + 0.24x + 8x2 Solving 0 = 0.48 + 0.24x + 8x2 Solving for variable 'x'. Combine like terms: 0 + -0.48 = -0.48 -0.48 + -0.24x + -8x2 = 0.48 + 0.24x + 8x2 + -0.48 + -0.24x + -8x2 Reorder the terms: -0.48 + -0.24x + -8x2 = 0.48 + -0.48 + 0.24x + -0.24x + 8x2 + -8x2 Combine like terms: 0.48 + -0.48 = 0.00 -0.48 + -0.24x + -8x2 = 0.00 + 0.24x + -0.24x + 8x2 + -8x2 -0.48 + -0.24x + -8x2 = 0.24x + -0.24x + 8x2 + -8x2 Combine like terms: 0.24x + -0.24x = 0.00 -0.48 + -0.24x + -8x2 = 0.00 + 8x2 + -8x2 -0.48 + -0.24x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -0.48 + -0.24x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.06 + 0.03x + x2 = 0 Move the constant term to the right: Add '-0.06' to each side of the equation. 0.06 + 0.03x + -0.06 + x2 = 0 + -0.06 Reorder the terms: 0.06 + -0.06 + 0.03x + x2 = 0 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.03x + x2 = 0 + -0.06 0.03x + x2 = 0 + -0.06 Combine like terms: 0 + -0.06 = -0.06 0.03x + x2 = -0.06 The x term is 0.03x. Take half its coefficient (0.015). Square it (0.000225) and add it to both sides. Add '0.000225' to each side of the equation. 0.03x + 0.000225 + x2 = -0.06 + 0.000225 Reorder the terms: 0.000225 + 0.03x + x2 = -0.06 + 0.000225 Combine like terms: -0.06 + 0.000225 = -0.059775 0.000225 + 0.03x + x2 = -0.059775 Factor a perfect square on the left side: (x + 0.015)(x + 0.015) = -0.059775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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