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Simplifying 0 = 13.303x2 + -241.442x + 1659.567 Reorder the terms: 0 = 1659.567 + -241.442x + 13.303x2 Solving 0 = 1659.567 + -241.442x + 13.303x2 Solving for variable 'x'. Combine like terms: 0 + -1659.567 = -1659.567 -1659.567 + 241.442x + -13.303x2 = 1659.567 + -241.442x + 13.303x2 + -1659.567 + 241.442x + -13.303x2 Reorder the terms: -1659.567 + 241.442x + -13.303x2 = 1659.567 + -1659.567 + -241.442x + 241.442x + 13.303x2 + -13.303x2 Combine like terms: 1659.567 + -1659.567 = 0.000 -1659.567 + 241.442x + -13.303x2 = 0.000 + -241.442x + 241.442x + 13.303x2 + -13.303x2 -1659.567 + 241.442x + -13.303x2 = -241.442x + 241.442x + 13.303x2 + -13.303x2 Combine like terms: -241.442x + 241.442x = 0.000 -1659.567 + 241.442x + -13.303x2 = 0.000 + 13.303x2 + -13.303x2 -1659.567 + 241.442x + -13.303x2 = 13.303x2 + -13.303x2 Combine like terms: 13.303x2 + -13.303x2 = 0.000 -1659.567 + 241.442x + -13.303x2 = 0.000 Begin completing the square. Divide all terms by -13.303 the coefficient of the squared term: Divide each side by '-13.303'. 124.7513343 + -18.14943998x + x2 = 0 Move the constant term to the right: Add '-124.7513343' to each side of the equation. 124.7513343 + -18.14943998x + -124.7513343 + x2 = 0 + -124.7513343 Reorder the terms: 124.7513343 + -124.7513343 + -18.14943998x + x2 = 0 + -124.7513343 Combine like terms: 124.7513343 + -124.7513343 = 0.0000000 0.0000000 + -18.14943998x + x2 = 0 + -124.7513343 -18.14943998x + x2 = 0 + -124.7513343 Combine like terms: 0 + -124.7513343 = -124.7513343 -18.14943998x + x2 = -124.7513343 The x term is -18.14943998x. Take half its coefficient (-9.07471999). Square it (82.35054290) and add it to both sides. Add '82.35054290' to each side of the equation. -18.14943998x + 82.35054290 + x2 = -124.7513343 + 82.35054290 Reorder the terms: 82.35054290 + -18.14943998x + x2 = -124.7513343 + 82.35054290 Combine like terms: -124.7513343 + 82.35054290 = -42.4007914 82.35054290 + -18.14943998x + x2 = -42.4007914 Factor a perfect square on the left side: (x + -9.07471999)(x + -9.07471999) = -42.4007914 Can't calculate square root of the right side. The solution to this equation could not be determined.
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