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Simplifying 9x2 + 36y2 + 16z2 + -144 = 0 Reorder the terms: -144 + 9x2 + 36y2 + 16z2 = 0 Solving -144 + 9x2 + 36y2 + 16z2 = 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 + 36y2 + 144 + 16z2 = 0 + 144 Reorder the terms: -144 + 144 + 9x2 + 36y2 + 16z2 = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 9x2 + 36y2 + 16z2 = 0 + 144 9x2 + 36y2 + 16z2 = 0 + 144 Combine like terms: 0 + 144 = 144 9x2 + 36y2 + 16z2 = 144 Add '-36y2' to each side of the equation. 9x2 + 36y2 + -36y2 + 16z2 = 144 + -36y2 Combine like terms: 36y2 + -36y2 = 0 9x2 + 0 + 16z2 = 144 + -36y2 9x2 + 16z2 = 144 + -36y2 Add '-16z2' to each side of the equation. 9x2 + 16z2 + -16z2 = 144 + -36y2 + -16z2 Combine like terms: 16z2 + -16z2 = 0 9x2 + 0 = 144 + -36y2 + -16z2 9x2 = 144 + -36y2 + -16z2 Divide each side by '9'. x2 = 16 + -4y2 + -1.777777778z2 Simplifying x2 = 16 + -4y2 + -1.777777778z2 Reorder the terms: -16 + x2 + 4y2 + 1.777777778z2 = 16 + -4y2 + -1.777777778z2 + -16 + 4y2 + 1.777777778z2 Reorder the terms: -16 + x2 + 4y2 + 1.777777778z2 = 16 + -16 + -4y2 + 4y2 + -1.777777778z2 + 1.777777778z2 Combine like terms: 16 + -16 = 0 -16 + x2 + 4y2 + 1.777777778z2 = 0 + -4y2 + 4y2 + -1.777777778z2 + 1.777777778z2 -16 + x2 + 4y2 + 1.777777778z2 = -4y2 + 4y2 + -1.777777778z2 + 1.777777778z2 Combine like terms: -4y2 + 4y2 = 0 -16 + x2 + 4y2 + 1.777777778z2 = 0 + -1.777777778z2 + 1.777777778z2 -16 + x2 + 4y2 + 1.777777778z2 = -1.777777778z2 + 1.777777778z2 Combine like terms: -1.777777778z2 + 1.777777778z2 = 0.000000000 -16 + x2 + 4y2 + 1.777777778z2 = 0.000000000 The solution to this equation could not be determined.
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