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Simplifying 8y2 + -8y + 13 + -14y2 + -8x + 2 = 0 Reorder the terms: 13 + 2 + -8x + -8y + 8y2 + -14y2 = 0 Combine like terms: 13 + 2 = 15 15 + -8x + -8y + 8y2 + -14y2 = 0 Combine like terms: 8y2 + -14y2 = -6y2 15 + -8x + -8y + -6y2 = 0 Solving 15 + -8x + -8y + -6y2 = 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 + -8x + -8y + -15 + -6y2 = 0 + -15 Reorder the terms: 15 + -15 + -8x + -8y + -6y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x + -8y + -6y2 = 0 + -15 -8x + -8y + -6y2 = 0 + -15 Combine like terms: 0 + -15 = -15 -8x + -8y + -6y2 = -15 Add '8y' to each side of the equation. -8x + -8y + 8y + -6y2 = -15 + 8y Combine like terms: -8y + 8y = 0 -8x + 0 + -6y2 = -15 + 8y -8x + -6y2 = -15 + 8y Add '6y2' to each side of the equation. -8x + -6y2 + 6y2 = -15 + 8y + 6y2 Combine like terms: -6y2 + 6y2 = 0 -8x + 0 = -15 + 8y + 6y2 -8x = -15 + 8y + 6y2 Divide each side by '-8'. x = 1.875 + -1y + -0.75y2 Simplifying x = 1.875 + -1y + -0.75y2
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