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Simplifying 5 + -1(x2 + y2) + -1z = 0 5 + (x2 * -1 + y2 * -1) + -1z = 0 5 + (-1x2 + -1y2) + -1z = 0 Solving 5 + -1x2 + -1y2 + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1x2 + -1y2 + -5 + -1z = 0 + -5 Reorder the terms: 5 + -5 + -1x2 + -1y2 + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x2 + -1y2 + -1z = 0 + -5 -1x2 + -1y2 + -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -1x2 + -1y2 + -1z = -5 Add 'y2' to each side of the equation. -1x2 + -1y2 + y2 + -1z = -5 + y2 Combine like terms: -1y2 + y2 = 0 -1x2 + 0 + -1z = -5 + y2 -1x2 + -1z = -5 + y2 Add 'z' to each side of the equation. -1x2 + -1z + z = -5 + y2 + z Combine like terms: -1z + z = 0 -1x2 + 0 = -5 + y2 + z -1x2 = -5 + y2 + z Divide each side by '-1'. x2 = 5 + -1y2 + -1z Simplifying x2 = 5 + -1y2 + -1z Reorder the terms: -5 + x2 + y2 + z = 5 + -1y2 + -1z + -5 + y2 + z Reorder the terms: -5 + x2 + y2 + z = 5 + -5 + -1y2 + y2 + -1z + z Combine like terms: 5 + -5 = 0 -5 + x2 + y2 + z = 0 + -1y2 + y2 + -1z + z -5 + x2 + y2 + z = -1y2 + y2 + -1z + z Combine like terms: -1y2 + y2 = 0 -5 + x2 + y2 + z = 0 + -1z + z -5 + x2 + y2 + z = -1z + z Combine like terms: -1z + z = 0 -5 + x2 + y2 + z = 0 The solution to this equation could not be determined.
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