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Simplifying 0 = -3x2 + 70x + -833 Reorder the terms: 0 = -833 + 70x + -3x2 Solving 0 = -833 + 70x + -3x2 Solving for variable 'x'. Combine like terms: 0 + 833 = 833 833 + -70x + 3x2 = -833 + 70x + -3x2 + 833 + -70x + 3x2 Reorder the terms: 833 + -70x + 3x2 = -833 + 833 + 70x + -70x + -3x2 + 3x2 Combine like terms: -833 + 833 = 0 833 + -70x + 3x2 = 0 + 70x + -70x + -3x2 + 3x2 833 + -70x + 3x2 = 70x + -70x + -3x2 + 3x2 Combine like terms: 70x + -70x = 0 833 + -70x + 3x2 = 0 + -3x2 + 3x2 833 + -70x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 833 + -70x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 277.6666667 + -23.33333333x + x2 = 0 Move the constant term to the right: Add '-277.6666667' to each side of the equation. 277.6666667 + -23.33333333x + -277.6666667 + x2 = 0 + -277.6666667 Reorder the terms: 277.6666667 + -277.6666667 + -23.33333333x + x2 = 0 + -277.6666667 Combine like terms: 277.6666667 + -277.6666667 = 0.0000000 0.0000000 + -23.33333333x + x2 = 0 + -277.6666667 -23.33333333x + x2 = 0 + -277.6666667 Combine like terms: 0 + -277.6666667 = -277.6666667 -23.33333333x + x2 = -277.6666667 The x term is -23.33333333x. Take half its coefficient (-11.66666667). Square it (136.1111112) and add it to both sides. Add '136.1111112' to each side of the equation. -23.33333333x + 136.1111112 + x2 = -277.6666667 + 136.1111112 Reorder the terms: 136.1111112 + -23.33333333x + x2 = -277.6666667 + 136.1111112 Combine like terms: -277.6666667 + 136.1111112 = -141.5555555 136.1111112 + -23.33333333x + x2 = -141.5555555 Factor a perfect square on the left side: (x + -11.66666667)(x + -11.66666667) = -141.5555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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