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Simplifying 4r2 + 12xy + 8y2 = 0 Solving 4r2 + 12xy + 8y2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12xy' to each side of the equation. 4r2 + 12xy + -12xy + 8y2 = 0 + -12xy Combine like terms: 12xy + -12xy = 0 4r2 + 0 + 8y2 = 0 + -12xy 4r2 + 8y2 = 0 + -12xy Remove the zero: 4r2 + 8y2 = -12xy Add '-8y2' to each side of the equation. 4r2 + 8y2 + -8y2 = -12xy + -8y2 Combine like terms: 8y2 + -8y2 = 0 4r2 + 0 = -12xy + -8y2 4r2 = -12xy + -8y2 Divide each side by '4'. r2 = -3xy + -2y2 Simplifying r2 = -3xy + -2y2 Reorder the terms: r2 + 3xy + 2y2 = -3xy + 3xy + -2y2 + 2y2 Combine like terms: -3xy + 3xy = 0 r2 + 3xy + 2y2 = 0 + -2y2 + 2y2 r2 + 3xy + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 r2 + 3xy + 2y2 = 0 The solution to this equation could not be determined.
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