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Simplifying 8x2y + -6y2 + -2z3 = 0 Solving 8x2y + -6y2 + -2z3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y2' to each side of the equation. 8x2y + -6y2 + 6y2 + -2z3 = 0 + 6y2 Combine like terms: -6y2 + 6y2 = 0 8x2y + 0 + -2z3 = 0 + 6y2 8x2y + -2z3 = 0 + 6y2 Remove the zero: 8x2y + -2z3 = 6y2 Add '2z3' to each side of the equation. 8x2y + -2z3 + 2z3 = 6y2 + 2z3 Combine like terms: -2z3 + 2z3 = 0 8x2y + 0 = 6y2 + 2z3 8x2y = 6y2 + 2z3 Divide each side by '8y'. x2 = 0.75y + 0.25y-1z3 Simplifying x2 = 0.75y + 0.25y-1z3 Reorder the terms: x2 = 0.25y-1z3 + 0.75y Reorder the terms: x2 + -0.25y-1z3 + -0.75y = 0.25y-1z3 + -0.25y-1z3 + 0.75y + -0.75y Combine like terms: 0.25y-1z3 + -0.25y-1z3 = 0.00 x2 + -0.25y-1z3 + -0.75y = 0.00 + 0.75y + -0.75y x2 + -0.25y-1z3 + -0.75y = 0.75y + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 x2 + -0.25y-1z3 + -0.75y = 0.00 The solution to this equation could not be determined.
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