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Simplifying 9x2 + 10x + 16 = 2x + 9 Reorder the terms: 16 + 10x + 9x2 = 2x + 9 Reorder the terms: 16 + 10x + 9x2 = 9 + 2x Solving 16 + 10x + 9x2 = 9 + 2x Solving for variable 'x'. Reorder the terms: 16 + -9 + 10x + -2x + 9x2 = 9 + 2x + -9 + -2x Combine like terms: 16 + -9 = 7 7 + 10x + -2x + 9x2 = 9 + 2x + -9 + -2x Combine like terms: 10x + -2x = 8x 7 + 8x + 9x2 = 9 + 2x + -9 + -2x Reorder the terms: 7 + 8x + 9x2 = 9 + -9 + 2x + -2x Combine like terms: 9 + -9 = 0 7 + 8x + 9x2 = 0 + 2x + -2x 7 + 8x + 9x2 = 2x + -2x Combine like terms: 2x + -2x = 0 7 + 8x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.7777777778 + 0.8888888889x + x2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + 0.8888888889x + -0.7777777778 + x2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + 0.8888888889x + x2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + 0.8888888889x + x2 = 0 + -0.7777777778 0.8888888889x + x2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 0.8888888889x + x2 = -0.7777777778 The x term is 0.8888888889x. Take half its coefficient (0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. 0.8888888889x + 0.1975308642 + x2 = -0.7777777778 + 0.1975308642 Reorder the terms: 0.1975308642 + 0.8888888889x + x2 = -0.7777777778 + 0.1975308642 Combine like terms: -0.7777777778 + 0.1975308642 = -0.5802469136 0.1975308642 + 0.8888888889x + x2 = -0.5802469136 Factor a perfect square on the left side: (x + 0.4444444445)(x + 0.4444444445) = -0.5802469136 Can't calculate square root of the right side. The solution to this equation could not be determined.
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