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Simplifying x2 + y2 + z2 + 2y + -6z + -15 = 0 Reorder the terms: -15 + x2 + 2y + y2 + -6z + z2 = 0 Solving -15 + x2 + 2y + y2 + -6z + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + x2 + 2y + y2 + -6z + 15 + z2 = 0 + 15 Reorder the terms: -15 + 15 + x2 + 2y + y2 + -6z + z2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x2 + 2y + y2 + -6z + z2 = 0 + 15 x2 + 2y + y2 + -6z + z2 = 0 + 15 Combine like terms: 0 + 15 = 15 x2 + 2y + y2 + -6z + z2 = 15 Add '-2y' to each side of the equation. x2 + 2y + y2 + -6z + -2y + z2 = 15 + -2y Reorder the terms: x2 + 2y + -2y + y2 + -6z + z2 = 15 + -2y Combine like terms: 2y + -2y = 0 x2 + 0 + y2 + -6z + z2 = 15 + -2y x2 + y2 + -6z + z2 = 15 + -2y Add '-1y2' to each side of the equation. x2 + y2 + -6z + -1y2 + z2 = 15 + -2y + -1y2 Reorder the terms: x2 + y2 + -1y2 + -6z + z2 = 15 + -2y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 + -6z + z2 = 15 + -2y + -1y2 x2 + -6z + z2 = 15 + -2y + -1y2 Add '6z' to each side of the equation. x2 + -6z + 6z + z2 = 15 + -2y + -1y2 + 6z Combine like terms: -6z + 6z = 0 x2 + 0 + z2 = 15 + -2y + -1y2 + 6z x2 + z2 = 15 + -2y + -1y2 + 6z Add '-1z2' to each side of the equation. x2 + z2 + -1z2 = 15 + -2y + -1y2 + 6z + -1z2 Combine like terms: z2 + -1z2 = 0 x2 + 0 = 15 + -2y + -1y2 + 6z + -1z2 x2 = 15 + -2y + -1y2 + 6z + -1z2 Simplifying x2 = 15 + -2y + -1y2 + 6z + -1z2 Reorder the terms: -15 + x2 + 2y + y2 + -6z + z2 = 15 + -2y + -1y2 + 6z + -1z2 + -15 + 2y + y2 + -6z + z2 Reorder the terms: -15 + x2 + 2y + y2 + -6z + z2 = 15 + -15 + -2y + 2y + -1y2 + y2 + 6z + -6z + -1z2 + z2 Combine like terms: 15 + -15 = 0 -15 + x2 + 2y + y2 + -6z + z2 = 0 + -2y + 2y + -1y2 + y2 + 6z + -6z + -1z2 + z2 -15 + x2 + 2y + y2 + -6z + z2 = -2y + 2y + -1y2 + y2 + 6z + -6z + -1z2 + z2 Combine like terms: -2y + 2y = 0 -15 + x2 + 2y + y2 + -6z + z2 = 0 + -1y2 + y2 + 6z + -6z + -1z2 + z2 -15 + x2 + 2y + y2 + -6z + z2 = -1y2 + y2 + 6z + -6z + -1z2 + z2 Combine like terms: -1y2 + y2 = 0 -15 + x2 + 2y + y2 + -6z + z2 = 0 + 6z + -6z + -1z2 + z2 -15 + x2 + 2y + y2 + -6z + z2 = 6z + -6z + -1z2 + z2 Combine like terms: 6z + -6z = 0 -15 + x2 + 2y + y2 + -6z + z2 = 0 + -1z2 + z2 -15 + x2 + 2y + y2 + -6z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -15 + x2 + 2y + y2 + -6z + z2 = 0 The solution to this equation could not be determined.
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