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Simplifying 5x2 + 24y2 + -120 = 0 Reorder the terms: -120 + 5x2 + 24y2 = 0 Solving -120 + 5x2 + 24y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 5x2 + 120 + 24y2 = 0 + 120 Reorder the terms: -120 + 120 + 5x2 + 24y2 = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 5x2 + 24y2 = 0 + 120 5x2 + 24y2 = 0 + 120 Combine like terms: 0 + 120 = 120 5x2 + 24y2 = 120 Add '-24y2' to each side of the equation. 5x2 + 24y2 + -24y2 = 120 + -24y2 Combine like terms: 24y2 + -24y2 = 0 5x2 + 0 = 120 + -24y2 5x2 = 120 + -24y2 Divide each side by '5'. x2 = 24 + -4.8y2 Simplifying x2 = 24 + -4.8y2 Reorder the terms: -24 + x2 + 4.8y2 = 24 + -4.8y2 + -24 + 4.8y2 Reorder the terms: -24 + x2 + 4.8y2 = 24 + -24 + -4.8y2 + 4.8y2 Combine like terms: 24 + -24 = 0 -24 + x2 + 4.8y2 = 0 + -4.8y2 + 4.8y2 -24 + x2 + 4.8y2 = -4.8y2 + 4.8y2 Combine like terms: -4.8y2 + 4.8y2 = 0.0 -24 + x2 + 4.8y2 = 0.0 The solution to this equation could not be determined.
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