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Simplifying 4x2 + 4y2 + -8y + z2 = 0 Reorder the terms: 4x2 + -8y + 4y2 + z2 = 0 Solving 4x2 + -8y + 4y2 + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 4x2 + -8y + 4y2 + 8y + z2 = 0 + 8y Reorder the terms: 4x2 + -8y + 8y + 4y2 + z2 = 0 + 8y Combine like terms: -8y + 8y = 0 4x2 + 0 + 4y2 + z2 = 0 + 8y 4x2 + 4y2 + z2 = 0 + 8y Remove the zero: 4x2 + 4y2 + z2 = 8y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 + z2 = 8y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 + z2 = 8y + -4y2 4x2 + z2 = 8y + -4y2 Add '-1z2' to each side of the equation. 4x2 + z2 + -1z2 = 8y + -4y2 + -1z2 Combine like terms: z2 + -1z2 = 0 4x2 + 0 = 8y + -4y2 + -1z2 4x2 = 8y + -4y2 + -1z2 Divide each side by '4'. x2 = 2y + -1y2 + -0.25z2 Simplifying x2 = 2y + -1y2 + -0.25z2 Reorder the terms: x2 + -2y + y2 + 0.25z2 = 2y + -2y + -1y2 + y2 + -0.25z2 + 0.25z2 Combine like terms: 2y + -2y = 0 x2 + -2y + y2 + 0.25z2 = 0 + -1y2 + y2 + -0.25z2 + 0.25z2 x2 + -2y + y2 + 0.25z2 = -1y2 + y2 + -0.25z2 + 0.25z2 Combine like terms: -1y2 + y2 = 0 x2 + -2y + y2 + 0.25z2 = 0 + -0.25z2 + 0.25z2 x2 + -2y + y2 + 0.25z2 = -0.25z2 + 0.25z2 Combine like terms: -0.25z2 + 0.25z2 = 0.00 x2 + -2y + y2 + 0.25z2 = 0.00 The solution to this equation could not be determined.
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