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Simplifying 9x2 + 4y2 + 12z + -36 = 0 Reorder the terms: -36 + 9x2 + 4y2 + 12z = 0 Solving -36 + 9x2 + 4y2 + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 9x2 + 4y2 + 36 + 12z = 0 + 36 Reorder the terms: -36 + 36 + 9x2 + 4y2 + 12z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 9x2 + 4y2 + 12z = 0 + 36 9x2 + 4y2 + 12z = 0 + 36 Combine like terms: 0 + 36 = 36 9x2 + 4y2 + 12z = 36 Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 + 12z = 36 + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 + 12z = 36 + -4y2 9x2 + 12z = 36 + -4y2 Add '-12z' to each side of the equation. 9x2 + 12z + -12z = 36 + -4y2 + -12z Combine like terms: 12z + -12z = 0 9x2 + 0 = 36 + -4y2 + -12z 9x2 = 36 + -4y2 + -12z Divide each side by '9'. x2 = 4 + -0.4444444444y2 + -1.333333333z Simplifying x2 = 4 + -0.4444444444y2 + -1.333333333z Reorder the terms: -4 + x2 + 0.4444444444y2 + 1.333333333z = 4 + -0.4444444444y2 + -1.333333333z + -4 + 0.4444444444y2 + 1.333333333z Reorder the terms: -4 + x2 + 0.4444444444y2 + 1.333333333z = 4 + -4 + -0.4444444444y2 + 0.4444444444y2 + -1.333333333z + 1.333333333z Combine like terms: 4 + -4 = 0 -4 + x2 + 0.4444444444y2 + 1.333333333z = 0 + -0.4444444444y2 + 0.4444444444y2 + -1.333333333z + 1.333333333z -4 + x2 + 0.4444444444y2 + 1.333333333z = -0.4444444444y2 + 0.4444444444y2 + -1.333333333z + 1.333333333z Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 -4 + x2 + 0.4444444444y2 + 1.333333333z = 0.0000000000 + -1.333333333z + 1.333333333z -4 + x2 + 0.4444444444y2 + 1.333333333z = -1.333333333z + 1.333333333z Combine like terms: -1.333333333z + 1.333333333z = 0.000000000 -4 + x2 + 0.4444444444y2 + 1.333333333z = 0.000000000 The solution to this equation could not be determined.
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