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Simplifying 9x2 + 4y2 + -8z2 = 72 Solving 9x2 + 4y2 + -8z2 = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 + -8z2 = 72 + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 + -8z2 = 72 + -4y2 9x2 + -8z2 = 72 + -4y2 Add '8z2' to each side of the equation. 9x2 + -8z2 + 8z2 = 72 + -4y2 + 8z2 Combine like terms: -8z2 + 8z2 = 0 9x2 + 0 = 72 + -4y2 + 8z2 9x2 = 72 + -4y2 + 8z2 Divide each side by '9'. x2 = 8 + -0.4444444444y2 + 0.8888888889z2 Simplifying x2 = 8 + -0.4444444444y2 + 0.8888888889z2 Reorder the terms: -8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 8 + -0.4444444444y2 + 0.8888888889z2 + -8 + 0.4444444444y2 + -0.8888888889z2 Reorder the terms: -8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 8 + -8 + -0.4444444444y2 + 0.4444444444y2 + 0.8888888889z2 + -0.8888888889z2 Combine like terms: 8 + -8 = 0 -8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0 + -0.4444444444y2 + 0.4444444444y2 + 0.8888888889z2 + -0.8888888889z2 -8 + x2 + 0.4444444444y2 + -0.8888888889z2 = -0.4444444444y2 + 0.4444444444y2 + 0.8888888889z2 + -0.8888888889z2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 -8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0.0000000000 + 0.8888888889z2 + -0.8888888889z2 -8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0.8888888889z2 + -0.8888888889z2 Combine like terms: 0.8888888889z2 + -0.8888888889z2 = 0.0000000000 -8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0.0000000000 The solution to this equation could not be determined.
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