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Simplifying 5x2 + 3y2 = 32 Solving 5x2 + 3y2 = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 5x2 + 3y2 + -3y2 = 32 + -3y2 Combine like terms: 3y2 + -3y2 = 0 5x2 + 0 = 32 + -3y2 5x2 = 32 + -3y2 Divide each side by '5'. x2 = 6.4 + -0.6y2 Simplifying x2 = 6.4 + -0.6y2 Reorder the terms: -6.4 + x2 + 0.6y2 = 6.4 + -0.6y2 + -6.4 + 0.6y2 Reorder the terms: -6.4 + x2 + 0.6y2 = 6.4 + -6.4 + -0.6y2 + 0.6y2 Combine like terms: 6.4 + -6.4 = 0.0 -6.4 + x2 + 0.6y2 = 0.0 + -0.6y2 + 0.6y2 -6.4 + x2 + 0.6y2 = -0.6y2 + 0.6y2 Combine like terms: -0.6y2 + 0.6y2 = 0.0 -6.4 + x2 + 0.6y2 = 0.0 The solution to this equation could not be determined.
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