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Simplifying 2x2 + 2y2 + 20z2 = 1 Solving 2x2 + 2y2 + 20z2 = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 + 20z2 = 1 + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 + 20z2 = 1 + -2y2 2x2 + 20z2 = 1 + -2y2 Add '-20z2' to each side of the equation. 2x2 + 20z2 + -20z2 = 1 + -2y2 + -20z2 Combine like terms: 20z2 + -20z2 = 0 2x2 + 0 = 1 + -2y2 + -20z2 2x2 = 1 + -2y2 + -20z2 Divide each side by '2'. x2 = 0.5 + -1y2 + -10z2 Simplifying x2 = 0.5 + -1y2 + -10z2 Reorder the terms: -0.5 + x2 + y2 + 10z2 = 0.5 + -1y2 + -10z2 + -0.5 + y2 + 10z2 Reorder the terms: -0.5 + x2 + y2 + 10z2 = 0.5 + -0.5 + -1y2 + y2 + -10z2 + 10z2 Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + x2 + y2 + 10z2 = 0.0 + -1y2 + y2 + -10z2 + 10z2 -0.5 + x2 + y2 + 10z2 = -1y2 + y2 + -10z2 + 10z2 Combine like terms: -1y2 + y2 = 0 -0.5 + x2 + y2 + 10z2 = 0 + -10z2 + 10z2 -0.5 + x2 + y2 + 10z2 = -10z2 + 10z2 Combine like terms: -10z2 + 10z2 = 0 -0.5 + x2 + y2 + 10z2 = 0 The solution to this equation could not be determined.
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