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Simplifying 0 = 0.24x2 + 1.7x + 10.5 Reorder the terms: 0 = 10.5 + 1.7x + 0.24x2 Solving 0 = 10.5 + 1.7x + 0.24x2 Solving for variable 'x'. Combine like terms: 0 + -10.5 = -10.5 -10.5 + -1.7x + -0.24x2 = 10.5 + 1.7x + 0.24x2 + -10.5 + -1.7x + -0.24x2 Reorder the terms: -10.5 + -1.7x + -0.24x2 = 10.5 + -10.5 + 1.7x + -1.7x + 0.24x2 + -0.24x2 Combine like terms: 10.5 + -10.5 = 0.0 -10.5 + -1.7x + -0.24x2 = 0.0 + 1.7x + -1.7x + 0.24x2 + -0.24x2 -10.5 + -1.7x + -0.24x2 = 1.7x + -1.7x + 0.24x2 + -0.24x2 Combine like terms: 1.7x + -1.7x = 0.0 -10.5 + -1.7x + -0.24x2 = 0.0 + 0.24x2 + -0.24x2 -10.5 + -1.7x + -0.24x2 = 0.24x2 + -0.24x2 Combine like terms: 0.24x2 + -0.24x2 = 0.00 -10.5 + -1.7x + -0.24x2 = 0.00 Begin completing the square. Divide all terms by -0.24 the coefficient of the squared term: Divide each side by '-0.24'. 43.75 + 7.083333333x + x2 = 0 Move the constant term to the right: Add '-43.75' to each side of the equation. 43.75 + 7.083333333x + -43.75 + x2 = 0 + -43.75 Reorder the terms: 43.75 + -43.75 + 7.083333333x + x2 = 0 + -43.75 Combine like terms: 43.75 + -43.75 = 0.00 0.00 + 7.083333333x + x2 = 0 + -43.75 7.083333333x + x2 = 0 + -43.75 Combine like terms: 0 + -43.75 = -43.75 7.083333333x + x2 = -43.75 The x term is 7.083333333x. Take half its coefficient (3.541666667). Square it (12.54340278) and add it to both sides. Add '12.54340278' to each side of the equation. 7.083333333x + 12.54340278 + x2 = -43.75 + 12.54340278 Reorder the terms: 12.54340278 + 7.083333333x + x2 = -43.75 + 12.54340278 Combine like terms: -43.75 + 12.54340278 = -31.20659722 12.54340278 + 7.083333333x + x2 = -31.20659722 Factor a perfect square on the left side: (x + 3.541666667)(x + 3.541666667) = -31.20659722 Can't calculate square root of the right side. The solution to this equation could not be determined.
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