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Simplifying 4x2 + 10y2 = 100 Solving 4x2 + 10y2 = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y2' to each side of the equation. 4x2 + 10y2 + -10y2 = 100 + -10y2 Combine like terms: 10y2 + -10y2 = 0 4x2 + 0 = 100 + -10y2 4x2 = 100 + -10y2 Divide each side by '4'. x2 = 25 + -2.5y2 Simplifying x2 = 25 + -2.5y2 Reorder the terms: -25 + x2 + 2.5y2 = 25 + -2.5y2 + -25 + 2.5y2 Reorder the terms: -25 + x2 + 2.5y2 = 25 + -25 + -2.5y2 + 2.5y2 Combine like terms: 25 + -25 = 0 -25 + x2 + 2.5y2 = 0 + -2.5y2 + 2.5y2 -25 + x2 + 2.5y2 = -2.5y2 + 2.5y2 Combine like terms: -2.5y2 + 2.5y2 = 0.0 -25 + x2 + 2.5y2 = 0.0 The solution to this equation could not be determined.
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