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