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Simplifying 2x2 + 2y2 + 8y + -42 = 0 Reorder the terms: -42 + 2x2 + 8y + 2y2 = 0 Solving -42 + 2x2 + 8y + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 2x2 + 8y + 42 + 2y2 = 0 + 42 Reorder the terms: -42 + 42 + 2x2 + 8y + 2y2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 2x2 + 8y + 2y2 = 0 + 42 2x2 + 8y + 2y2 = 0 + 42 Combine like terms: 0 + 42 = 42 2x2 + 8y + 2y2 = 42 Add '-8y' to each side of the equation. 2x2 + 8y + -8y + 2y2 = 42 + -8y Combine like terms: 8y + -8y = 0 2x2 + 0 + 2y2 = 42 + -8y 2x2 + 2y2 = 42 + -8y Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = 42 + -8y + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = 42 + -8y + -2y2 2x2 = 42 + -8y + -2y2 Divide each side by '2'. x2 = 21 + -4y + -1y2 Simplifying x2 = 21 + -4y + -1y2 Reorder the terms: -21 + x2 + 4y + y2 = 21 + -4y + -1y2 + -21 + 4y + y2 Reorder the terms: -21 + x2 + 4y + y2 = 21 + -21 + -4y + 4y + -1y2 + y2 Combine like terms: 21 + -21 = 0 -21 + x2 + 4y + y2 = 0 + -4y + 4y + -1y2 + y2 -21 + x2 + 4y + y2 = -4y + 4y + -1y2 + y2 Combine like terms: -4y + 4y = 0 -21 + x2 + 4y + y2 = 0 + -1y2 + y2 -21 + x2 + 4y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -21 + x2 + 4y + y2 = 0 The solution to this equation could not be determined.
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