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Simplifying -9x2 + 18x = 16 Reorder the terms: 18x + -9x2 = 16 Solving 18x + -9x2 = 16 Solving for variable 'x'. Reorder the terms: -16 + 18x + -9x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 18x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 1.777777778 + -2x + x2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + -2x + -1.777777778 + x2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + -2x + x2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + -2x + x2 = 0 + -1.777777778 -2x + x2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 -2x + x2 = -1.777777778 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.777777778 + 1 Reorder the terms: 1 + -2x + x2 = -1.777777778 + 1 Combine like terms: -1.777777778 + 1 = -0.777777778 1 + -2x + x2 = -0.777777778 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.777777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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