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Simplifying (5x2 + -3y2) + (x2 + 4y2) = 6y Remove parenthesis around (5x2 + -3y2) 5x2 + -3y2 + (x2 + 4y2) = 6y Remove parenthesis around (x2 + 4y2) 5x2 + -3y2 + x2 + 4y2 = 6y Reorder the terms: 5x2 + x2 + -3y2 + 4y2 = 6y Combine like terms: 5x2 + x2 = 6x2 6x2 + -3y2 + 4y2 = 6y Combine like terms: -3y2 + 4y2 = 1y2 6x2 + 1y2 = 6y Solving 6x2 + 1y2 = 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 6x2 + 1y2 + -1y2 = 6y + -1y2 Combine like terms: 1y2 + -1y2 = 0 6x2 + 0 = 6y + -1y2 6x2 = 6y + -1y2 Divide each side by '6'. x2 = y + -0.1666666667y2 Simplifying x2 = y + -0.1666666667y2 Reorder the terms: x2 + -1y + 0.1666666667y2 = y + -1y + -0.1666666667y2 + 0.1666666667y2 Combine like terms: y + -1y = 0 x2 + -1y + 0.1666666667y2 = 0 + -0.1666666667y2 + 0.1666666667y2 x2 + -1y + 0.1666666667y2 = -0.1666666667y2 + 0.1666666667y2 Combine like terms: -0.1666666667y2 + 0.1666666667y2 = 0.0000000000 x2 + -1y + 0.1666666667y2 = 0.0000000000 The solution to this equation could not be determined.
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