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Simplifying 36x2 + 16y2 + 9z2 + -144 = 0 Reorder the terms: -144 + 36x2 + 16y2 + 9z2 = 0 Solving -144 + 36x2 + 16y2 + 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 + 36x2 + 16y2 + 144 + 9z2 = 0 + 144 Reorder the terms: -144 + 144 + 36x2 + 16y2 + 9z2 = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 36x2 + 16y2 + 9z2 = 0 + 144 36x2 + 16y2 + 9z2 = 0 + 144 Combine like terms: 0 + 144 = 144 36x2 + 16y2 + 9z2 = 144 Add '-16y2' to each side of the equation. 36x2 + 16y2 + -16y2 + 9z2 = 144 + -16y2 Combine like terms: 16y2 + -16y2 = 0 36x2 + 0 + 9z2 = 144 + -16y2 36x2 + 9z2 = 144 + -16y2 Add '-9z2' to each side of the equation. 36x2 + 9z2 + -9z2 = 144 + -16y2 + -9z2 Combine like terms: 9z2 + -9z2 = 0 36x2 + 0 = 144 + -16y2 + -9z2 36x2 = 144 + -16y2 + -9z2 Divide each side by '36'. x2 = 4 + -0.4444444444y2 + -0.25z2 Simplifying x2 = 4 + -0.4444444444y2 + -0.25z2 Reorder the terms: -4 + x2 + 0.4444444444y2 + 0.25z2 = 4 + -0.4444444444y2 + -0.25z2 + -4 + 0.4444444444y2 + 0.25z2 Reorder the terms: -4 + x2 + 0.4444444444y2 + 0.25z2 = 4 + -4 + -0.4444444444y2 + 0.4444444444y2 + -0.25z2 + 0.25z2 Combine like terms: 4 + -4 = 0 -4 + x2 + 0.4444444444y2 + 0.25z2 = 0 + -0.4444444444y2 + 0.4444444444y2 + -0.25z2 + 0.25z2 -4 + x2 + 0.4444444444y2 + 0.25z2 = -0.4444444444y2 + 0.4444444444y2 + -0.25z2 + 0.25z2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 -4 + x2 + 0.4444444444y2 + 0.25z2 = 0.0000000000 + -0.25z2 + 0.25z2 -4 + x2 + 0.4444444444y2 + 0.25z2 = -0.25z2 + 0.25z2 Combine like terms: -0.25z2 + 0.25z2 = 0.00 -4 + x2 + 0.4444444444y2 + 0.25z2 = 0.00 The solution to this equation could not be determined.
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