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Simplifying 4x2 + -1y2 + -16z2 + 16 = 0 Reorder the terms: 16 + 4x2 + -1y2 + -16z2 = 0 Solving 16 + 4x2 + -1y2 + -16z2 = 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 + 4x2 + -1y2 + -16 + -16z2 = 0 + -16 Reorder the terms: 16 + -16 + 4x2 + -1y2 + -16z2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x2 + -1y2 + -16z2 = 0 + -16 4x2 + -1y2 + -16z2 = 0 + -16 Combine like terms: 0 + -16 = -16 4x2 + -1y2 + -16z2 = -16 Add 'y2' to each side of the equation. 4x2 + -1y2 + y2 + -16z2 = -16 + y2 Combine like terms: -1y2 + y2 = 0 4x2 + 0 + -16z2 = -16 + y2 4x2 + -16z2 = -16 + y2 Add '16z2' to each side of the equation. 4x2 + -16z2 + 16z2 = -16 + y2 + 16z2 Combine like terms: -16z2 + 16z2 = 0 4x2 + 0 = -16 + y2 + 16z2 4x2 = -16 + y2 + 16z2 Divide each side by '4'. x2 = -4 + 0.25y2 + 4z2 Simplifying x2 = -4 + 0.25y2 + 4z2 Reorder the terms: 4 + x2 + -0.25y2 + -4z2 = -4 + 0.25y2 + 4z2 + 4 + -0.25y2 + -4z2 Reorder the terms: 4 + x2 + -0.25y2 + -4z2 = -4 + 4 + 0.25y2 + -0.25y2 + 4z2 + -4z2 Combine like terms: -4 + 4 = 0 4 + x2 + -0.25y2 + -4z2 = 0 + 0.25y2 + -0.25y2 + 4z2 + -4z2 4 + x2 + -0.25y2 + -4z2 = 0.25y2 + -0.25y2 + 4z2 + -4z2 Combine like terms: 0.25y2 + -0.25y2 = 0.00 4 + x2 + -0.25y2 + -4z2 = 0.00 + 4z2 + -4z2 4 + x2 + -0.25y2 + -4z2 = 4z2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 4 + x2 + -0.25y2 + -4z2 = 0 The solution to this equation could not be determined.
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