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Simplifying 9x2 + 4y2 + 8y + -32 + -36z2 = 0 Reorder the terms: -32 + 9x2 + 8y + 4y2 + -36z2 = 0 Solving -32 + 9x2 + 8y + 4y2 + -36z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 9x2 + 8y + 4y2 + 32 + -36z2 = 0 + 32 Reorder the terms: -32 + 32 + 9x2 + 8y + 4y2 + -36z2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 9x2 + 8y + 4y2 + -36z2 = 0 + 32 9x2 + 8y + 4y2 + -36z2 = 0 + 32 Combine like terms: 0 + 32 = 32 9x2 + 8y + 4y2 + -36z2 = 32 Add '-8y' to each side of the equation. 9x2 + 8y + 4y2 + -8y + -36z2 = 32 + -8y Reorder the terms: 9x2 + 8y + -8y + 4y2 + -36z2 = 32 + -8y Combine like terms: 8y + -8y = 0 9x2 + 0 + 4y2 + -36z2 = 32 + -8y 9x2 + 4y2 + -36z2 = 32 + -8y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 + -36z2 = 32 + -8y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 + -36z2 = 32 + -8y + -4y2 9x2 + -36z2 = 32 + -8y + -4y2 Add '36z2' to each side of the equation. 9x2 + -36z2 + 36z2 = 32 + -8y + -4y2 + 36z2 Combine like terms: -36z2 + 36z2 = 0 9x2 + 0 = 32 + -8y + -4y2 + 36z2 9x2 = 32 + -8y + -4y2 + 36z2 Divide each side by '9'. x2 = 3.555555556 + -0.8888888889y + -0.4444444444y2 + 4z2 Simplifying x2 = 3.555555556 + -0.8888888889y + -0.4444444444y2 + 4z2 Reorder the terms: -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = 3.555555556 + -0.8888888889y + -0.4444444444y2 + 4z2 + -3.555555556 + 0.8888888889y + 0.4444444444y2 + -4z2 Reorder the terms: -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = 3.555555556 + -3.555555556 + -0.8888888889y + 0.8888888889y + -0.4444444444y2 + 0.4444444444y2 + 4z2 + -4z2 Combine like terms: 3.555555556 + -3.555555556 = 0.000000000 -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = 0.000000000 + -0.8888888889y + 0.8888888889y + -0.4444444444y2 + 0.4444444444y2 + 4z2 + -4z2 -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = -0.8888888889y + 0.8888888889y + -0.4444444444y2 + 0.4444444444y2 + 4z2 + -4z2 Combine like terms: -0.8888888889y + 0.8888888889y = 0.0000000000 -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = 0.0000000000 + -0.4444444444y2 + 0.4444444444y2 + 4z2 + -4z2 -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = -0.4444444444y2 + 0.4444444444y2 + 4z2 + -4z2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = 0.0000000000 + 4z2 + -4z2 -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = 4z2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 -3.555555556 + x2 + 0.8888888889y + 0.4444444444y2 + -4z2 = 0 The solution to this equation could not be determined.
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