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Simplifying 9x2 + -13x + 16 = 0 Reorder the terms: 16 + -13x + 9x2 = 0 Solving 16 + -13x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + -1.444444444x + x2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + -1.444444444x + -1.777777778 + x2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + -1.444444444x + x2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + -1.444444444x + x2 = 0 + -1.777777778 -1.444444444x + x2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 -1.444444444x + x2 = -1.777777778 The x term is -1.444444444x. Take half its coefficient (-0.722222222). Square it (0.5216049380) and add it to both sides. Add '0.5216049380' to each side of the equation. -1.444444444x + 0.5216049380 + x2 = -1.777777778 + 0.5216049380 Reorder the terms: 0.5216049380 + -1.444444444x + x2 = -1.777777778 + 0.5216049380 Combine like terms: -1.777777778 + 0.5216049380 = -1.25617284 0.5216049380 + -1.444444444x + x2 = -1.25617284 Factor a perfect square on the left side: (x + -0.722222222)(x + -0.722222222) = -1.25617284 Can't calculate square root of the right side. The solution to this equation could not be determined.
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