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Simplifying 8x2 + -1y2 + -2z2 + -32 = 0 Reorder the terms: -32 + 8x2 + -1y2 + -2z2 = 0 Solving -32 + 8x2 + -1y2 + -2z2 = 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 + 8x2 + -1y2 + 32 + -2z2 = 0 + 32 Reorder the terms: -32 + 32 + 8x2 + -1y2 + -2z2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8x2 + -1y2 + -2z2 = 0 + 32 8x2 + -1y2 + -2z2 = 0 + 32 Combine like terms: 0 + 32 = 32 8x2 + -1y2 + -2z2 = 32 Add 'y2' to each side of the equation. 8x2 + -1y2 + y2 + -2z2 = 32 + y2 Combine like terms: -1y2 + y2 = 0 8x2 + 0 + -2z2 = 32 + y2 8x2 + -2z2 = 32 + y2 Add '2z2' to each side of the equation. 8x2 + -2z2 + 2z2 = 32 + y2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 8x2 + 0 = 32 + y2 + 2z2 8x2 = 32 + y2 + 2z2 Divide each side by '8'. x2 = 4 + 0.125y2 + 0.25z2 Simplifying x2 = 4 + 0.125y2 + 0.25z2 Reorder the terms: -4 + x2 + -0.125y2 + -0.25z2 = 4 + 0.125y2 + 0.25z2 + -4 + -0.125y2 + -0.25z2 Reorder the terms: -4 + x2 + -0.125y2 + -0.25z2 = 4 + -4 + 0.125y2 + -0.125y2 + 0.25z2 + -0.25z2 Combine like terms: 4 + -4 = 0 -4 + x2 + -0.125y2 + -0.25z2 = 0 + 0.125y2 + -0.125y2 + 0.25z2 + -0.25z2 -4 + x2 + -0.125y2 + -0.25z2 = 0.125y2 + -0.125y2 + 0.25z2 + -0.25z2 Combine like terms: 0.125y2 + -0.125y2 = 0.000 -4 + x2 + -0.125y2 + -0.25z2 = 0.000 + 0.25z2 + -0.25z2 -4 + x2 + -0.125y2 + -0.25z2 = 0.25z2 + -0.25z2 Combine like terms: 0.25z2 + -0.25z2 = 0.00 -4 + x2 + -0.125y2 + -0.25z2 = 0.00 The solution to this equation could not be determined.
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