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Simplifying 2x2 + 3y2 + 7y = 2 Reorder the terms: 2x2 + 7y + 3y2 = 2 Solving 2x2 + 7y + 3y2 = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 2x2 + 7y + -7y + 3y2 = 2 + -7y Combine like terms: 7y + -7y = 0 2x2 + 0 + 3y2 = 2 + -7y 2x2 + 3y2 = 2 + -7y Add '-3y2' to each side of the equation. 2x2 + 3y2 + -3y2 = 2 + -7y + -3y2 Combine like terms: 3y2 + -3y2 = 0 2x2 + 0 = 2 + -7y + -3y2 2x2 = 2 + -7y + -3y2 Divide each side by '2'. x2 = 1 + -3.5y + -1.5y2 Simplifying x2 = 1 + -3.5y + -1.5y2 Reorder the terms: -1 + x2 + 3.5y + 1.5y2 = 1 + -3.5y + -1.5y2 + -1 + 3.5y + 1.5y2 Reorder the terms: -1 + x2 + 3.5y + 1.5y2 = 1 + -1 + -3.5y + 3.5y + -1.5y2 + 1.5y2 Combine like terms: 1 + -1 = 0 -1 + x2 + 3.5y + 1.5y2 = 0 + -3.5y + 3.5y + -1.5y2 + 1.5y2 -1 + x2 + 3.5y + 1.5y2 = -3.5y + 3.5y + -1.5y2 + 1.5y2 Combine like terms: -3.5y + 3.5y = 0.0 -1 + x2 + 3.5y + 1.5y2 = 0.0 + -1.5y2 + 1.5y2 -1 + x2 + 3.5y + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 -1 + x2 + 3.5y + 1.5y2 = 0.0 The solution to this equation could not be determined.
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