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Simplifying 4x2 + 9y2 + z2 = 36 Solving 4x2 + 9y2 + z2 = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y2' to each side of the equation. 4x2 + 9y2 + -9y2 + z2 = 36 + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 + z2 = 36 + -9y2 4x2 + z2 = 36 + -9y2 Add '-1z2' to each side of the equation. 4x2 + z2 + -1z2 = 36 + -9y2 + -1z2 Combine like terms: z2 + -1z2 = 0 4x2 + 0 = 36 + -9y2 + -1z2 4x2 = 36 + -9y2 + -1z2 Divide each side by '4'. x2 = 9 + -2.25y2 + -0.25z2 Simplifying x2 = 9 + -2.25y2 + -0.25z2 Reorder the terms: -9 + x2 + 2.25y2 + 0.25z2 = 9 + -2.25y2 + -0.25z2 + -9 + 2.25y2 + 0.25z2 Reorder the terms: -9 + x2 + 2.25y2 + 0.25z2 = 9 + -9 + -2.25y2 + 2.25y2 + -0.25z2 + 0.25z2 Combine like terms: 9 + -9 = 0 -9 + x2 + 2.25y2 + 0.25z2 = 0 + -2.25y2 + 2.25y2 + -0.25z2 + 0.25z2 -9 + x2 + 2.25y2 + 0.25z2 = -2.25y2 + 2.25y2 + -0.25z2 + 0.25z2 Combine like terms: -2.25y2 + 2.25y2 = 0.00 -9 + x2 + 2.25y2 + 0.25z2 = 0.00 + -0.25z2 + 0.25z2 -9 + x2 + 2.25y2 + 0.25z2 = -0.25z2 + 0.25z2 Combine like terms: -0.25z2 + 0.25z2 = 0.00 -9 + x2 + 2.25y2 + 0.25z2 = 0.00 The solution to this equation could not be determined.
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