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Simplifying 36x2 + 4y2 + -8y + 9z2 + -32 = 0 Reorder the terms: -32 + 36x2 + -8y + 4y2 + 9z2 = 0 Solving -32 + 36x2 + -8y + 4y2 + 9z2 = 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 + 36x2 + -8y + 4y2 + 32 + 9z2 = 0 + 32 Reorder the terms: -32 + 32 + 36x2 + -8y + 4y2 + 9z2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 36x2 + -8y + 4y2 + 9z2 = 0 + 32 36x2 + -8y + 4y2 + 9z2 = 0 + 32 Combine like terms: 0 + 32 = 32 36x2 + -8y + 4y2 + 9z2 = 32 Add '8y' to each side of the equation. 36x2 + -8y + 4y2 + 8y + 9z2 = 32 + 8y Reorder the terms: 36x2 + -8y + 8y + 4y2 + 9z2 = 32 + 8y Combine like terms: -8y + 8y = 0 36x2 + 0 + 4y2 + 9z2 = 32 + 8y 36x2 + 4y2 + 9z2 = 32 + 8y Add '-4y2' to each side of the equation. 36x2 + 4y2 + -4y2 + 9z2 = 32 + 8y + -4y2 Combine like terms: 4y2 + -4y2 = 0 36x2 + 0 + 9z2 = 32 + 8y + -4y2 36x2 + 9z2 = 32 + 8y + -4y2 Add '-9z2' to each side of the equation. 36x2 + 9z2 + -9z2 = 32 + 8y + -4y2 + -9z2 Combine like terms: 9z2 + -9z2 = 0 36x2 + 0 = 32 + 8y + -4y2 + -9z2 36x2 = 32 + 8y + -4y2 + -9z2 Divide each side by '36'. x2 = 0.8888888889 + 0.2222222222y + -0.1111111111y2 + -0.25z2 Simplifying x2 = 0.8888888889 + 0.2222222222y + -0.1111111111y2 + -0.25z2 Reorder the terms: -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = 0.8888888889 + 0.2222222222y + -0.1111111111y2 + -0.25z2 + -0.8888888889 + -0.2222222222y + 0.1111111111y2 + 0.25z2 Reorder the terms: -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = 0.8888888889 + -0.8888888889 + 0.2222222222y + -0.2222222222y + -0.1111111111y2 + 0.1111111111y2 + -0.25z2 + 0.25z2 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = 0.0000000000 + 0.2222222222y + -0.2222222222y + -0.1111111111y2 + 0.1111111111y2 + -0.25z2 + 0.25z2 -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = 0.2222222222y + -0.2222222222y + -0.1111111111y2 + 0.1111111111y2 + -0.25z2 + 0.25z2 Combine like terms: 0.2222222222y + -0.2222222222y = 0.0000000000 -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = 0.0000000000 + -0.1111111111y2 + 0.1111111111y2 + -0.25z2 + 0.25z2 -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = -0.1111111111y2 + 0.1111111111y2 + -0.25z2 + 0.25z2 Combine like terms: -0.1111111111y2 + 0.1111111111y2 = 0.0000000000 -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = 0.0000000000 + -0.25z2 + 0.25z2 -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = -0.25z2 + 0.25z2 Combine like terms: -0.25z2 + 0.25z2 = 0.00 -0.8888888889 + x2 + -0.2222222222y + 0.1111111111y2 + 0.25z2 = 0.00 The solution to this equation could not be determined.
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