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Simplifying 5x2 + -2y2 + -4y = 22 Reorder the terms: 5x2 + -4y + -2y2 = 22 Solving 5x2 + -4y + -2y2 = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x2 + -4y + 4y + -2y2 = 22 + 4y Combine like terms: -4y + 4y = 0 5x2 + 0 + -2y2 = 22 + 4y 5x2 + -2y2 = 22 + 4y Add '2y2' to each side of the equation. 5x2 + -2y2 + 2y2 = 22 + 4y + 2y2 Combine like terms: -2y2 + 2y2 = 0 5x2 + 0 = 22 + 4y + 2y2 5x2 = 22 + 4y + 2y2 Divide each side by '5'. x2 = 4.4 + 0.8y + 0.4y2 Simplifying x2 = 4.4 + 0.8y + 0.4y2 Reorder the terms: -4.4 + x2 + -0.8y + -0.4y2 = 4.4 + 0.8y + 0.4y2 + -4.4 + -0.8y + -0.4y2 Reorder the terms: -4.4 + x2 + -0.8y + -0.4y2 = 4.4 + -4.4 + 0.8y + -0.8y + 0.4y2 + -0.4y2 Combine like terms: 4.4 + -4.4 = 0.0 -4.4 + x2 + -0.8y + -0.4y2 = 0.0 + 0.8y + -0.8y + 0.4y2 + -0.4y2 -4.4 + x2 + -0.8y + -0.4y2 = 0.8y + -0.8y + 0.4y2 + -0.4y2 Combine like terms: 0.8y + -0.8y = 0.0 -4.4 + x2 + -0.8y + -0.4y2 = 0.0 + 0.4y2 + -0.4y2 -4.4 + x2 + -0.8y + -0.4y2 = 0.4y2 + -0.4y2 Combine like terms: 0.4y2 + -0.4y2 = 0.0 -4.4 + x2 + -0.8y + -0.4y2 = 0.0 The solution to this equation could not be determined.
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