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Simplifying 4x2 + 5y2 + -10z2 = 60 Solving 4x2 + 5y2 + -10z2 = 60 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. 4x2 + 5y2 + -5y2 + -10z2 = 60 + -5y2 Combine like terms: 5y2 + -5y2 = 0 4x2 + 0 + -10z2 = 60 + -5y2 4x2 + -10z2 = 60 + -5y2 Add '10z2' to each side of the equation. 4x2 + -10z2 + 10z2 = 60 + -5y2 + 10z2 Combine like terms: -10z2 + 10z2 = 0 4x2 + 0 = 60 + -5y2 + 10z2 4x2 = 60 + -5y2 + 10z2 Divide each side by '4'. x2 = 15 + -1.25y2 + 2.5z2 Simplifying x2 = 15 + -1.25y2 + 2.5z2 Reorder the terms: -15 + x2 + 1.25y2 + -2.5z2 = 15 + -1.25y2 + 2.5z2 + -15 + 1.25y2 + -2.5z2 Reorder the terms: -15 + x2 + 1.25y2 + -2.5z2 = 15 + -15 + -1.25y2 + 1.25y2 + 2.5z2 + -2.5z2 Combine like terms: 15 + -15 = 0 -15 + x2 + 1.25y2 + -2.5z2 = 0 + -1.25y2 + 1.25y2 + 2.5z2 + -2.5z2 -15 + x2 + 1.25y2 + -2.5z2 = -1.25y2 + 1.25y2 + 2.5z2 + -2.5z2 Combine like terms: -1.25y2 + 1.25y2 = 0.00 -15 + x2 + 1.25y2 + -2.5z2 = 0.00 + 2.5z2 + -2.5z2 -15 + x2 + 1.25y2 + -2.5z2 = 2.5z2 + -2.5z2 Combine like terms: 2.5z2 + -2.5z2 = 0.0 -15 + x2 + 1.25y2 + -2.5z2 = 0.0 The solution to this equation could not be determined.
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