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Simplifying 5x2 + 15xy + 4rx + 12r = 0 Reorder the terms: 12r + 4rx + 15xy + 5x2 = 0 Solving 12r + 4rx + 15xy + 5x2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15xy' to each side of the equation. 12r + 4rx + 15xy + -15xy + 5x2 = 0 + -15xy Combine like terms: 15xy + -15xy = 0 12r + 4rx + 0 + 5x2 = 0 + -15xy 12r + 4rx + 5x2 = 0 + -15xy Remove the zero: 12r + 4rx + 5x2 = -15xy Add '-5x2' to each side of the equation. 12r + 4rx + 5x2 + -5x2 = -15xy + -5x2 Combine like terms: 5x2 + -5x2 = 0 12r + 4rx + 0 = -15xy + -5x2 12r + 4rx = -15xy + -5x2 Reorder the terms: 12r + 4rx + 15xy + 5x2 = -15xy + 15xy + -5x2 + 5x2 Combine like terms: -15xy + 15xy = 0 12r + 4rx + 15xy + 5x2 = 0 + -5x2 + 5x2 12r + 4rx + 15xy + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 12r + 4rx + 15xy + 5x2 = 0 The solution to this equation could not be determined.
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