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Simplifying 6 = 3.51x2 + 24.4x + 780 Reorder the terms: 6 = 780 + 24.4x + 3.51x2 Solving 6 = 780 + 24.4x + 3.51x2 Solving for variable 'x'. Combine like terms: 6 + -780 = -774 -774 + -24.4x + -3.51x2 = 780 + 24.4x + 3.51x2 + -780 + -24.4x + -3.51x2 Reorder the terms: -774 + -24.4x + -3.51x2 = 780 + -780 + 24.4x + -24.4x + 3.51x2 + -3.51x2 Combine like terms: 780 + -780 = 0 -774 + -24.4x + -3.51x2 = 0 + 24.4x + -24.4x + 3.51x2 + -3.51x2 -774 + -24.4x + -3.51x2 = 24.4x + -24.4x + 3.51x2 + -3.51x2 Combine like terms: 24.4x + -24.4x = 0.0 -774 + -24.4x + -3.51x2 = 0.0 + 3.51x2 + -3.51x2 -774 + -24.4x + -3.51x2 = 3.51x2 + -3.51x2 Combine like terms: 3.51x2 + -3.51x2 = 0.00 -774 + -24.4x + -3.51x2 = 0.00 Begin completing the square. Divide all terms by -3.51 the coefficient of the squared term: Divide each side by '-3.51'. 220.5128205 + 6.951566952x + x2 = 0 Move the constant term to the right: Add '-220.5128205' to each side of the equation. 220.5128205 + 6.951566952x + -220.5128205 + x2 = 0 + -220.5128205 Reorder the terms: 220.5128205 + -220.5128205 + 6.951566952x + x2 = 0 + -220.5128205 Combine like terms: 220.5128205 + -220.5128205 = 0.0000000 0.0000000 + 6.951566952x + x2 = 0 + -220.5128205 6.951566952x + x2 = 0 + -220.5128205 Combine like terms: 0 + -220.5128205 = -220.5128205 6.951566952x + x2 = -220.5128205 The x term is 6.951566952x. Take half its coefficient (3.475783476). Square it (12.08107077) and add it to both sides. Add '12.08107077' to each side of the equation. 6.951566952x + 12.08107077 + x2 = -220.5128205 + 12.08107077 Reorder the terms: 12.08107077 + 6.951566952x + x2 = -220.5128205 + 12.08107077 Combine like terms: -220.5128205 + 12.08107077 = -208.43174973 12.08107077 + 6.951566952x + x2 = -208.43174973 Factor a perfect square on the left side: (x + 3.475783476)(x + 3.475783476) = -208.43174973 Can't calculate square root of the right side. The solution to this equation could not be determined.
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