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Simplifying (5x2) + -72x + 267 = 0 Reorder the terms: 267 + -72x + (5x2) = 0 Solving 267 + -72x + (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'. 53.4 + -14.4x + x2 = 0 Move the constant term to the right: Add '-53.4' to each side of the equation. 53.4 + -14.4x + -53.4 + x2 = 0 + -53.4 Reorder the terms: 53.4 + -53.4 + -14.4x + x2 = 0 + -53.4 Combine like terms: 53.4 + -53.4 = 0.0 0.0 + -14.4x + x2 = 0 + -53.4 -14.4x + x2 = 0 + -53.4 Combine like terms: 0 + -53.4 = -53.4 -14.4x + x2 = -53.4 The x term is -14.4x. Take half its coefficient (-7.2). Square it (51.84) and add it to both sides. Add '51.84' to each side of the equation. -14.4x + 51.84 + x2 = -53.4 + 51.84 Reorder the terms: 51.84 + -14.4x + x2 = -53.4 + 51.84 Combine like terms: -53.4 + 51.84 = -1.56 51.84 + -14.4x + x2 = -1.56 Factor a perfect square on the left side: ((x) + -7.2)((x) + -7.2) = -1.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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