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Simplifying 3x2 + 7xy + ky2 + -4x + -13y = 0 Reorder the terms: ky2 + -4x + 7xy + 3x2 + -13y = 0 Solving ky2 + -4x + 7xy + 3x2 + -13y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4x' to each side of the equation. ky2 + -4x + 7xy + 3x2 + 4x + -13y = 0 + 4x Reorder the terms: ky2 + -4x + 4x + 7xy + 3x2 + -13y = 0 + 4x Combine like terms: -4x + 4x = 0 ky2 + 0 + 7xy + 3x2 + -13y = 0 + 4x ky2 + 7xy + 3x2 + -13y = 0 + 4x Remove the zero: ky2 + 7xy + 3x2 + -13y = 4x Add '-7xy' to each side of the equation. ky2 + 7xy + 3x2 + -7xy + -13y = 4x + -7xy Reorder the terms: ky2 + 7xy + -7xy + 3x2 + -13y = 4x + -7xy Combine like terms: 7xy + -7xy = 0 ky2 + 0 + 3x2 + -13y = 4x + -7xy ky2 + 3x2 + -13y = 4x + -7xy Add '-3x2' to each side of the equation. ky2 + 3x2 + -3x2 + -13y = 4x + -7xy + -3x2 Combine like terms: 3x2 + -3x2 = 0 ky2 + 0 + -13y = 4x + -7xy + -3x2 ky2 + -13y = 4x + -7xy + -3x2 Add '13y' to each side of the equation. ky2 + -13y + 13y = 4x + -7xy + -3x2 + 13y Combine like terms: -13y + 13y = 0 ky2 + 0 = 4x + -7xy + -3x2 + 13y ky2 = 4x + -7xy + -3x2 + 13y Divide each side by 'y2'. k = 4xy-2 + -7xy-1 + -3x2y-2 + 13y-1 Simplifying k = 4xy-2 + -7xy-1 + -3x2y-2 + 13y-1
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