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Simplifying 4x2 + 4y2 + z2 = 1 Solving 4x2 + 4y2 + z2 = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 + z2 = 1 + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 + z2 = 1 + -4y2 4x2 + z2 = 1 + -4y2 Add '-1z2' to each side of the equation. 4x2 + z2 + -1z2 = 1 + -4y2 + -1z2 Combine like terms: z2 + -1z2 = 0 4x2 + 0 = 1 + -4y2 + -1z2 4x2 = 1 + -4y2 + -1z2 Divide each side by '4'. x2 = 0.25 + -1y2 + -0.25z2 Simplifying x2 = 0.25 + -1y2 + -0.25z2 Reorder the terms: -0.25 + x2 + y2 + 0.25z2 = 0.25 + -1y2 + -0.25z2 + -0.25 + y2 + 0.25z2 Reorder the terms: -0.25 + x2 + y2 + 0.25z2 = 0.25 + -0.25 + -1y2 + y2 + -0.25z2 + 0.25z2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + x2 + y2 + 0.25z2 = 0.00 + -1y2 + y2 + -0.25z2 + 0.25z2 -0.25 + x2 + y2 + 0.25z2 = -1y2 + y2 + -0.25z2 + 0.25z2 Combine like terms: -1y2 + y2 = 0 -0.25 + x2 + y2 + 0.25z2 = 0 + -0.25z2 + 0.25z2 -0.25 + x2 + y2 + 0.25z2 = -0.25z2 + 0.25z2 Combine like terms: -0.25z2 + 0.25z2 = 0.00 -0.25 + x2 + y2 + 0.25z2 = 0.00 The solution to this equation could not be determined.
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