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Simplifying 9x2 + y2 + 9z2 + -6y + -72z + 144 = 0 Reorder the terms: 144 + 9x2 + -6y + y2 + -72z + 9z2 = 0 Solving 144 + 9x2 + -6y + y2 + -72z + 9z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + 9x2 + -6y + y2 + -72z + -144 + 9z2 = 0 + -144 Reorder the terms: 144 + -144 + 9x2 + -6y + y2 + -72z + 9z2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 9x2 + -6y + y2 + -72z + 9z2 = 0 + -144 9x2 + -6y + y2 + -72z + 9z2 = 0 + -144 Combine like terms: 0 + -144 = -144 9x2 + -6y + y2 + -72z + 9z2 = -144 Add '6y' to each side of the equation. 9x2 + -6y + y2 + -72z + 6y + 9z2 = -144 + 6y Reorder the terms: 9x2 + -6y + 6y + y2 + -72z + 9z2 = -144 + 6y Combine like terms: -6y + 6y = 0 9x2 + 0 + y2 + -72z + 9z2 = -144 + 6y 9x2 + y2 + -72z + 9z2 = -144 + 6y Add '-1y2' to each side of the equation. 9x2 + y2 + -72z + -1y2 + 9z2 = -144 + 6y + -1y2 Reorder the terms: 9x2 + y2 + -1y2 + -72z + 9z2 = -144 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 9x2 + 0 + -72z + 9z2 = -144 + 6y + -1y2 9x2 + -72z + 9z2 = -144 + 6y + -1y2 Add '72z' to each side of the equation. 9x2 + -72z + 72z + 9z2 = -144 + 6y + -1y2 + 72z Combine like terms: -72z + 72z = 0 9x2 + 0 + 9z2 = -144 + 6y + -1y2 + 72z 9x2 + 9z2 = -144 + 6y + -1y2 + 72z Add '-9z2' to each side of the equation. 9x2 + 9z2 + -9z2 = -144 + 6y + -1y2 + 72z + -9z2 Combine like terms: 9z2 + -9z2 = 0 9x2 + 0 = -144 + 6y + -1y2 + 72z + -9z2 9x2 = -144 + 6y + -1y2 + 72z + -9z2 Divide each side by '9'. x2 = -16 + 0.6666666667y + -0.1111111111y2 + 8z + -1z2 Simplifying x2 = -16 + 0.6666666667y + -0.1111111111y2 + 8z + -1z2 Reorder the terms: 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = -16 + 0.6666666667y + -0.1111111111y2 + 8z + -1z2 + 16 + -0.6666666667y + 0.1111111111y2 + -8z + z2 Reorder the terms: 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = -16 + 16 + 0.6666666667y + -0.6666666667y + -0.1111111111y2 + 0.1111111111y2 + 8z + -8z + -1z2 + z2 Combine like terms: -16 + 16 = 0 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = 0 + 0.6666666667y + -0.6666666667y + -0.1111111111y2 + 0.1111111111y2 + 8z + -8z + -1z2 + z2 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = 0.6666666667y + -0.6666666667y + -0.1111111111y2 + 0.1111111111y2 + 8z + -8z + -1z2 + z2 Combine like terms: 0.6666666667y + -0.6666666667y = 0.0000000000 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = 0.0000000000 + -0.1111111111y2 + 0.1111111111y2 + 8z + -8z + -1z2 + z2 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = -0.1111111111y2 + 0.1111111111y2 + 8z + -8z + -1z2 + z2 Combine like terms: -0.1111111111y2 + 0.1111111111y2 = 0.0000000000 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = 0.0000000000 + 8z + -8z + -1z2 + z2 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = 8z + -8z + -1z2 + z2 Combine like terms: 8z + -8z = 0 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = 0 + -1z2 + z2 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 16 + x2 + -0.6666666667y + 0.1111111111y2 + -8z + z2 = 0 The solution to this equation could not be determined.
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