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Simplifying 4x2 + -8y2 + z2 + 24 = 0 Reorder the terms: 24 + 4x2 + -8y2 + z2 = 0 Solving 24 + 4x2 + -8y2 + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 4x2 + -8y2 + -24 + z2 = 0 + -24 Reorder the terms: 24 + -24 + 4x2 + -8y2 + z2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4x2 + -8y2 + z2 = 0 + -24 4x2 + -8y2 + z2 = 0 + -24 Combine like terms: 0 + -24 = -24 4x2 + -8y2 + z2 = -24 Add '8y2' to each side of the equation. 4x2 + -8y2 + 8y2 + z2 = -24 + 8y2 Combine like terms: -8y2 + 8y2 = 0 4x2 + 0 + z2 = -24 + 8y2 4x2 + z2 = -24 + 8y2 Add '-1z2' to each side of the equation. 4x2 + z2 + -1z2 = -24 + 8y2 + -1z2 Combine like terms: z2 + -1z2 = 0 4x2 + 0 = -24 + 8y2 + -1z2 4x2 = -24 + 8y2 + -1z2 Divide each side by '4'. x2 = -6 + 2y2 + -0.25z2 Simplifying x2 = -6 + 2y2 + -0.25z2 Reorder the terms: 6 + x2 + -2y2 + 0.25z2 = -6 + 2y2 + -0.25z2 + 6 + -2y2 + 0.25z2 Reorder the terms: 6 + x2 + -2y2 + 0.25z2 = -6 + 6 + 2y2 + -2y2 + -0.25z2 + 0.25z2 Combine like terms: -6 + 6 = 0 6 + x2 + -2y2 + 0.25z2 = 0 + 2y2 + -2y2 + -0.25z2 + 0.25z2 6 + x2 + -2y2 + 0.25z2 = 2y2 + -2y2 + -0.25z2 + 0.25z2 Combine like terms: 2y2 + -2y2 = 0 6 + x2 + -2y2 + 0.25z2 = 0 + -0.25z2 + 0.25z2 6 + x2 + -2y2 + 0.25z2 = -0.25z2 + 0.25z2 Combine like terms: -0.25z2 + 0.25z2 = 0.00 6 + x2 + -2y2 + 0.25z2 = 0.00 The solution to this equation could not be determined.
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