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