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Simplifying (4x2) + -24x + 45 = 0 Reorder the terms: 45 + -24x + (4x2) = 0 Solving 45 + -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'. 11.25 + -6x + x2 = 0 Move the constant term to the right: Add '-11.25' to each side of the equation. 11.25 + -6x + -11.25 + x2 = 0 + -11.25 Reorder the terms: 11.25 + -11.25 + -6x + x2 = 0 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + -6x + x2 = 0 + -11.25 -6x + x2 = 0 + -11.25 Combine like terms: 0 + -11.25 = -11.25 -6x + x2 = -11.25 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 = -11.25 + 9 Reorder the terms: 9 + -6x + x2 = -11.25 + 9 Combine like terms: -11.25 + 9 = -2.25 9 + -6x + x2 = -2.25 Factor a perfect square on the left side: ((x) + -3)((x) + -3) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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