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Simplifying 5x2 + 10y2 + 2 = 8 Reorder the terms: 2 + 5x2 + 10y2 = 8 Solving 2 + 5x2 + 10y2 = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5x2 + -2 + 10y2 = 8 + -2 Reorder the terms: 2 + -2 + 5x2 + 10y2 = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 5x2 + 10y2 = 8 + -2 5x2 + 10y2 = 8 + -2 Combine like terms: 8 + -2 = 6 5x2 + 10y2 = 6 Add '-10y2' to each side of the equation. 5x2 + 10y2 + -10y2 = 6 + -10y2 Combine like terms: 10y2 + -10y2 = 0 5x2 + 0 = 6 + -10y2 5x2 = 6 + -10y2 Divide each side by '5'. x2 = 1.2 + -2y2 Simplifying x2 = 1.2 + -2y2 Reorder the terms: -1.2 + x2 + 2y2 = 1.2 + -2y2 + -1.2 + 2y2 Reorder the terms: -1.2 + x2 + 2y2 = 1.2 + -1.2 + -2y2 + 2y2 Combine like terms: 1.2 + -1.2 = 0.0 -1.2 + x2 + 2y2 = 0.0 + -2y2 + 2y2 -1.2 + x2 + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -1.2 + x2 + 2y2 = 0 The solution to this equation could not be determined.
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