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Simplifying 4x2 + 9y2 + -36z2 = 0 Solving 4x2 + 9y2 + -36z2 = 0 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 + -36z2 = 0 + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 + -36z2 = 0 + -9y2 4x2 + -36z2 = 0 + -9y2 Remove the zero: 4x2 + -36z2 = -9y2 Add '36z2' to each side of the equation. 4x2 + -36z2 + 36z2 = -9y2 + 36z2 Combine like terms: -36z2 + 36z2 = 0 4x2 + 0 = -9y2 + 36z2 4x2 = -9y2 + 36z2 Divide each side by '4'. x2 = -2.25y2 + 9z2 Simplifying x2 = -2.25y2 + 9z2 Reorder the terms: x2 + 2.25y2 + -9z2 = -2.25y2 + 2.25y2 + 9z2 + -9z2 Combine like terms: -2.25y2 + 2.25y2 = 0.00 x2 + 2.25y2 + -9z2 = 0.00 + 9z2 + -9z2 x2 + 2.25y2 + -9z2 = 9z2 + -9z2 Combine like terms: 9z2 + -9z2 = 0 x2 + 2.25y2 + -9z2 = 0 The solution to this equation could not be determined.
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