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Simplifying 9x2 + -4y2 + 36z2 = 0 Solving 9x2 + -4y2 + 36z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y2' to each side of the equation. 9x2 + -4y2 + 4y2 + 36z2 = 0 + 4y2 Combine like terms: -4y2 + 4y2 = 0 9x2 + 0 + 36z2 = 0 + 4y2 9x2 + 36z2 = 0 + 4y2 Remove the zero: 9x2 + 36z2 = 4y2 Add '-36z2' to each side of the equation. 9x2 + 36z2 + -36z2 = 4y2 + -36z2 Combine like terms: 36z2 + -36z2 = 0 9x2 + 0 = 4y2 + -36z2 9x2 = 4y2 + -36z2 Divide each side by '9'. x2 = 0.4444444444y2 + -4z2 Simplifying x2 = 0.4444444444y2 + -4z2 Reorder the terms: x2 + -0.4444444444y2 + 4z2 = 0.4444444444y2 + -0.4444444444y2 + -4z2 + 4z2 Combine like terms: 0.4444444444y2 + -0.4444444444y2 = 0.0000000000 x2 + -0.4444444444y2 + 4z2 = 0.0000000000 + -4z2 + 4z2 x2 + -0.4444444444y2 + 4z2 = -4z2 + 4z2 Combine like terms: -4z2 + 4z2 = 0 x2 + -0.4444444444y2 + 4z2 = 0 The solution to this equation could not be determined.
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