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Simplifying 4x2 + -1y2 + -6y + -9 = 0 Reorder the terms: -9 + 4x2 + -6y + -1y2 = 0 Solving -9 + 4x2 + -6y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 4x2 + -6y + 9 + -1y2 = 0 + 9 Reorder the terms: -9 + 9 + 4x2 + -6y + -1y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x2 + -6y + -1y2 = 0 + 9 4x2 + -6y + -1y2 = 0 + 9 Combine like terms: 0 + 9 = 9 4x2 + -6y + -1y2 = 9 Add '6y' to each side of the equation. 4x2 + -6y + 6y + -1y2 = 9 + 6y Combine like terms: -6y + 6y = 0 4x2 + 0 + -1y2 = 9 + 6y 4x2 + -1y2 = 9 + 6y Add 'y2' to each side of the equation. 4x2 + -1y2 + y2 = 9 + 6y + y2 Combine like terms: -1y2 + y2 = 0 4x2 + 0 = 9 + 6y + y2 4x2 = 9 + 6y + y2 Divide each side by '4'. x2 = 2.25 + 1.5y + 0.25y2 Simplifying x2 = 2.25 + 1.5y + 0.25y2 Reorder the terms: -2.25 + x2 + -1.5y + -0.25y2 = 2.25 + 1.5y + 0.25y2 + -2.25 + -1.5y + -0.25y2 Reorder the terms: -2.25 + x2 + -1.5y + -0.25y2 = 2.25 + -2.25 + 1.5y + -1.5y + 0.25y2 + -0.25y2 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + x2 + -1.5y + -0.25y2 = 0.00 + 1.5y + -1.5y + 0.25y2 + -0.25y2 -2.25 + x2 + -1.5y + -0.25y2 = 1.5y + -1.5y + 0.25y2 + -0.25y2 Combine like terms: 1.5y + -1.5y = 0.0 -2.25 + x2 + -1.5y + -0.25y2 = 0.0 + 0.25y2 + -0.25y2 -2.25 + x2 + -1.5y + -0.25y2 = 0.25y2 + -0.25y2 Combine like terms: 0.25y2 + -0.25y2 = 0.00 -2.25 + x2 + -1.5y + -0.25y2 = 0.00 The solution to this equation could not be determined.
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