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Simplifying 4y2 + -4x2 + 8z + -5y = 0 Reorder the terms: -4x2 + -5y + 4y2 + 8z = 0 Solving -4x2 + -5y + 4y2 + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -4x2 + -5y + 4y2 + 5y + 8z = 0 + 5y Reorder the terms: -4x2 + -5y + 5y + 4y2 + 8z = 0 + 5y Combine like terms: -5y + 5y = 0 -4x2 + 0 + 4y2 + 8z = 0 + 5y -4x2 + 4y2 + 8z = 0 + 5y Remove the zero: -4x2 + 4y2 + 8z = 5y Add '-4y2' to each side of the equation. -4x2 + 4y2 + -4y2 + 8z = 5y + -4y2 Combine like terms: 4y2 + -4y2 = 0 -4x2 + 0 + 8z = 5y + -4y2 -4x2 + 8z = 5y + -4y2 Add '-8z' to each side of the equation. -4x2 + 8z + -8z = 5y + -4y2 + -8z Combine like terms: 8z + -8z = 0 -4x2 + 0 = 5y + -4y2 + -8z -4x2 = 5y + -4y2 + -8z Divide each side by '-4'. x2 = -1.25y + y2 + 2z Simplifying x2 = -1.25y + y2 + 2z Reorder the terms: x2 + 1.25y + -1y2 + -2z = -1.25y + 1.25y + y2 + -1y2 + 2z + -2z Combine like terms: -1.25y + 1.25y = 0.00 x2 + 1.25y + -1y2 + -2z = 0.00 + y2 + -1y2 + 2z + -2z x2 + 1.25y + -1y2 + -2z = y2 + -1y2 + 2z + -2z Combine like terms: y2 + -1y2 = 0 x2 + 1.25y + -1y2 + -2z = 0 + 2z + -2z x2 + 1.25y + -1y2 + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 x2 + 1.25y + -1y2 + -2z = 0 The solution to this equation could not be determined.
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