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Simplifying 3x2 + -24x + 70 = 0 Reorder the terms: 70 + -24x + 3x2 = 0 Solving 70 + -24x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 23.33333333 + -8x + x2 = 0 Move the constant term to the right: Add '-23.33333333' to each side of the equation. 23.33333333 + -8x + -23.33333333 + x2 = 0 + -23.33333333 Reorder the terms: 23.33333333 + -23.33333333 + -8x + x2 = 0 + -23.33333333 Combine like terms: 23.33333333 + -23.33333333 = 0.00000000 0.00000000 + -8x + x2 = 0 + -23.33333333 -8x + x2 = 0 + -23.33333333 Combine like terms: 0 + -23.33333333 = -23.33333333 -8x + x2 = -23.33333333 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -23.33333333 + 16 Reorder the terms: 16 + -8x + x2 = -23.33333333 + 16 Combine like terms: -23.33333333 + 16 = -7.33333333 16 + -8x + x2 = -7.33333333 Factor a perfect square on the left side: (x + -4)(x + -4) = -7.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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