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Simplifying 5x2 + -30x + 72 = 0 Reorder the terms: 72 + -30x + 5x2 = 0 Solving 72 + -30x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 14.4 + -6x + x2 = 0 Move the constant term to the right: Add '-14.4' to each side of the equation. 14.4 + -6x + -14.4 + x2 = 0 + -14.4 Reorder the terms: 14.4 + -14.4 + -6x + x2 = 0 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -6x + x2 = 0 + -14.4 -6x + x2 = 0 + -14.4 Combine like terms: 0 + -14.4 = -14.4 -6x + x2 = -14.4 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 = -14.4 + 9 Reorder the terms: 9 + -6x + x2 = -14.4 + 9 Combine like terms: -14.4 + 9 = -5.4 9 + -6x + x2 = -5.4 Factor a perfect square on the left side: (x + -3)(x + -3) = -5.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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