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Simplifying 2x2 + 4y2 + z2 + -16 = 0 Reorder the terms: -16 + 2x2 + 4y2 + z2 = 0 Solving -16 + 2x2 + 4y2 + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 2x2 + 4y2 + 16 + z2 = 0 + 16 Reorder the terms: -16 + 16 + 2x2 + 4y2 + z2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2x2 + 4y2 + z2 = 0 + 16 2x2 + 4y2 + z2 = 0 + 16 Combine like terms: 0 + 16 = 16 2x2 + 4y2 + z2 = 16 Add '-4y2' to each side of the equation. 2x2 + 4y2 + -4y2 + z2 = 16 + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x2 + 0 + z2 = 16 + -4y2 2x2 + z2 = 16 + -4y2 Add '-1z2' to each side of the equation. 2x2 + z2 + -1z2 = 16 + -4y2 + -1z2 Combine like terms: z2 + -1z2 = 0 2x2 + 0 = 16 + -4y2 + -1z2 2x2 = 16 + -4y2 + -1z2 Divide each side by '2'. x2 = 8 + -2y2 + -0.5z2 Simplifying x2 = 8 + -2y2 + -0.5z2 Reorder the terms: -8 + x2 + 2y2 + 0.5z2 = 8 + -2y2 + -0.5z2 + -8 + 2y2 + 0.5z2 Reorder the terms: -8 + x2 + 2y2 + 0.5z2 = 8 + -8 + -2y2 + 2y2 + -0.5z2 + 0.5z2 Combine like terms: 8 + -8 = 0 -8 + x2 + 2y2 + 0.5z2 = 0 + -2y2 + 2y2 + -0.5z2 + 0.5z2 -8 + x2 + 2y2 + 0.5z2 = -2y2 + 2y2 + -0.5z2 + 0.5z2 Combine like terms: -2y2 + 2y2 = 0 -8 + x2 + 2y2 + 0.5z2 = 0 + -0.5z2 + 0.5z2 -8 + x2 + 2y2 + 0.5z2 = -0.5z2 + 0.5z2 Combine like terms: -0.5z2 + 0.5z2 = 0.0 -8 + x2 + 2y2 + 0.5z2 = 0.0 The solution to this equation could not be determined.
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