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Simplifying x2 + -8x + -9w2 + 16 = 0 Reorder the terms: 16 + -9w2 + -8x + x2 = 0 Solving 16 + -9w2 + -8x + x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -9w2 + -8x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -9w2 + -8x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9w2 + -8x + x2 = 0 + -16 -9w2 + -8x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -9w2 + -8x + x2 = -16 Add '8x' to each side of the equation. -9w2 + -8x + 8x + x2 = -16 + 8x Combine like terms: -8x + 8x = 0 -9w2 + 0 + x2 = -16 + 8x -9w2 + x2 = -16 + 8x Add '-1x2' to each side of the equation. -9w2 + x2 + -1x2 = -16 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 -9w2 + 0 = -16 + 8x + -1x2 -9w2 = -16 + 8x + -1x2 Divide each side by '-9'. w2 = 1.777777778 + -0.8888888889x + 0.1111111111x2 Simplifying w2 = 1.777777778 + -0.8888888889x + 0.1111111111x2 Reorder the terms: -1.777777778 + w2 + 0.8888888889x + -0.1111111111x2 = 1.777777778 + -0.8888888889x + 0.1111111111x2 + -1.777777778 + 0.8888888889x + -0.1111111111x2 Reorder the terms: -1.777777778 + w2 + 0.8888888889x + -0.1111111111x2 = 1.777777778 + -1.777777778 + -0.8888888889x + 0.8888888889x + 0.1111111111x2 + -0.1111111111x2 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 -1.777777778 + w2 + 0.8888888889x + -0.1111111111x2 = 0.000000000 + -0.8888888889x + 0.8888888889x + 0.1111111111x2 + -0.1111111111x2 -1.777777778 + w2 + 0.8888888889x + -0.1111111111x2 = -0.8888888889x + 0.8888888889x + 0.1111111111x2 + -0.1111111111x2 Combine like terms: -0.8888888889x + 0.8888888889x = 0.0000000000 -1.777777778 + w2 + 0.8888888889x + -0.1111111111x2 = 0.0000000000 + 0.1111111111x2 + -0.1111111111x2 -1.777777778 + w2 + 0.8888888889x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2 Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000 -1.777777778 + w2 + 0.8888888889x + -0.1111111111x2 = 0.0000000000 The solution to this equation could not be determined.
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