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Simplifying x2 + 4y2 + -1z2 + 100 = 96 Reorder the terms: 100 + x2 + 4y2 + -1z2 = 96 Solving 100 + x2 + 4y2 + -1z2 = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + x2 + 4y2 + -100 + -1z2 = 96 + -100 Reorder the terms: 100 + -100 + x2 + 4y2 + -1z2 = 96 + -100 Combine like terms: 100 + -100 = 0 0 + x2 + 4y2 + -1z2 = 96 + -100 x2 + 4y2 + -1z2 = 96 + -100 Combine like terms: 96 + -100 = -4 x2 + 4y2 + -1z2 = -4 Add '-4y2' to each side of the equation. x2 + 4y2 + -4y2 + -1z2 = -4 + -4y2 Combine like terms: 4y2 + -4y2 = 0 x2 + 0 + -1z2 = -4 + -4y2 x2 + -1z2 = -4 + -4y2 Add 'z2' to each side of the equation. x2 + -1z2 + z2 = -4 + -4y2 + z2 Combine like terms: -1z2 + z2 = 0 x2 + 0 = -4 + -4y2 + z2 x2 = -4 + -4y2 + z2 Simplifying x2 = -4 + -4y2 + z2 Reorder the terms: 4 + x2 + 4y2 + -1z2 = -4 + -4y2 + z2 + 4 + 4y2 + -1z2 Reorder the terms: 4 + x2 + 4y2 + -1z2 = -4 + 4 + -4y2 + 4y2 + z2 + -1z2 Combine like terms: -4 + 4 = 0 4 + x2 + 4y2 + -1z2 = 0 + -4y2 + 4y2 + z2 + -1z2 4 + x2 + 4y2 + -1z2 = -4y2 + 4y2 + z2 + -1z2 Combine like terms: -4y2 + 4y2 = 0 4 + x2 + 4y2 + -1z2 = 0 + z2 + -1z2 4 + x2 + 4y2 + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 4 + x2 + 4y2 + -1z2 = 0 The solution to this equation could not be determined.
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