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Simplifying 2x2 + -5y2 + 2z2 = 50 Solving 2x2 + -5y2 + 2z2 = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y2' to each side of the equation. 2x2 + -5y2 + 5y2 + 2z2 = 50 + 5y2 Combine like terms: -5y2 + 5y2 = 0 2x2 + 0 + 2z2 = 50 + 5y2 2x2 + 2z2 = 50 + 5y2 Add '-2z2' to each side of the equation. 2x2 + 2z2 + -2z2 = 50 + 5y2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 2x2 + 0 = 50 + 5y2 + -2z2 2x2 = 50 + 5y2 + -2z2 Divide each side by '2'. x2 = 25 + 2.5y2 + -1z2 Simplifying x2 = 25 + 2.5y2 + -1z2 Reorder the terms: -25 + x2 + -2.5y2 + z2 = 25 + 2.5y2 + -1z2 + -25 + -2.5y2 + z2 Reorder the terms: -25 + x2 + -2.5y2 + z2 = 25 + -25 + 2.5y2 + -2.5y2 + -1z2 + z2 Combine like terms: 25 + -25 = 0 -25 + x2 + -2.5y2 + z2 = 0 + 2.5y2 + -2.5y2 + -1z2 + z2 -25 + x2 + -2.5y2 + z2 = 2.5y2 + -2.5y2 + -1z2 + z2 Combine like terms: 2.5y2 + -2.5y2 = 0.0 -25 + x2 + -2.5y2 + z2 = 0.0 + -1z2 + z2 -25 + x2 + -2.5y2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -25 + x2 + -2.5y2 + z2 = 0 The solution to this equation could not be determined.
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