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