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Simplifying 4x2 + -24x + 51 = 0 Reorder the terms: 51 + -24x + 4x2 = 0 Solving 51 + -24x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 12.75 + -6x + x2 = 0 Move the constant term to the right: Add '-12.75' to each side of the equation. 12.75 + -6x + -12.75 + x2 = 0 + -12.75 Reorder the terms: 12.75 + -12.75 + -6x + x2 = 0 + -12.75 Combine like terms: 12.75 + -12.75 = 0.00 0.00 + -6x + x2 = 0 + -12.75 -6x + x2 = 0 + -12.75 Combine like terms: 0 + -12.75 = -12.75 -6x + x2 = -12.75 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -12.75 + 9 Reorder the terms: 9 + -6x + x2 = -12.75 + 9 Combine like terms: -12.75 + 9 = -3.75 9 + -6x + x2 = -3.75 Factor a perfect square on the left side: (x + -3)(x + -3) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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