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Simplifying 9x2 + 9y2 + 72y + -5z2 + 108 = 0 Reorder the terms: 108 + 9x2 + 72y + 9y2 + -5z2 = 0 Solving 108 + 9x2 + 72y + 9y2 + -5z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + 9x2 + 72y + 9y2 + -108 + -5z2 = 0 + -108 Reorder the terms: 108 + -108 + 9x2 + 72y + 9y2 + -5z2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 9x2 + 72y + 9y2 + -5z2 = 0 + -108 9x2 + 72y + 9y2 + -5z2 = 0 + -108 Combine like terms: 0 + -108 = -108 9x2 + 72y + 9y2 + -5z2 = -108 Add '-72y' to each side of the equation. 9x2 + 72y + 9y2 + -72y + -5z2 = -108 + -72y Reorder the terms: 9x2 + 72y + -72y + 9y2 + -5z2 = -108 + -72y Combine like terms: 72y + -72y = 0 9x2 + 0 + 9y2 + -5z2 = -108 + -72y 9x2 + 9y2 + -5z2 = -108 + -72y Add '-9y2' to each side of the equation. 9x2 + 9y2 + -9y2 + -5z2 = -108 + -72y + -9y2 Combine like terms: 9y2 + -9y2 = 0 9x2 + 0 + -5z2 = -108 + -72y + -9y2 9x2 + -5z2 = -108 + -72y + -9y2 Add '5z2' to each side of the equation. 9x2 + -5z2 + 5z2 = -108 + -72y + -9y2 + 5z2 Combine like terms: -5z2 + 5z2 = 0 9x2 + 0 = -108 + -72y + -9y2 + 5z2 9x2 = -108 + -72y + -9y2 + 5z2 Divide each side by '9'. x2 = -12 + -8y + -1y2 + 0.5555555556z2 Simplifying x2 = -12 + -8y + -1y2 + 0.5555555556z2 Reorder the terms: 12 + x2 + 8y + y2 + -0.5555555556z2 = -12 + -8y + -1y2 + 0.5555555556z2 + 12 + 8y + y2 + -0.5555555556z2 Reorder the terms: 12 + x2 + 8y + y2 + -0.5555555556z2 = -12 + 12 + -8y + 8y + -1y2 + y2 + 0.5555555556z2 + -0.5555555556z2 Combine like terms: -12 + 12 = 0 12 + x2 + 8y + y2 + -0.5555555556z2 = 0 + -8y + 8y + -1y2 + y2 + 0.5555555556z2 + -0.5555555556z2 12 + x2 + 8y + y2 + -0.5555555556z2 = -8y + 8y + -1y2 + y2 + 0.5555555556z2 + -0.5555555556z2 Combine like terms: -8y + 8y = 0 12 + x2 + 8y + y2 + -0.5555555556z2 = 0 + -1y2 + y2 + 0.5555555556z2 + -0.5555555556z2 12 + x2 + 8y + y2 + -0.5555555556z2 = -1y2 + y2 + 0.5555555556z2 + -0.5555555556z2 Combine like terms: -1y2 + y2 = 0 12 + x2 + 8y + y2 + -0.5555555556z2 = 0 + 0.5555555556z2 + -0.5555555556z2 12 + x2 + 8y + y2 + -0.5555555556z2 = 0.5555555556z2 + -0.5555555556z2 Combine like terms: 0.5555555556z2 + -0.5555555556z2 = 0.0000000000 12 + x2 + 8y + y2 + -0.5555555556z2 = 0.0000000000 The solution to this equation could not be determined.
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