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Simplifying 0 = 3r4 + -1r3t + -4r2t2 + 6rt2 + 4r2t2 + -4rt3(6x2 + 2xy + -1y2) + (4x2 + -9xy + -3y2) Reorder the terms: 0 = 3r4 + -1r3t + -4r2t2 + 6rt2 + 4r2t2 + -4rt3(2xy + 6x2 + -1y2) + (4x2 + -9xy + -3y2) 0 = 3r4 + -1r3t + -4r2t2 + 6rt2 + 4r2t2 + (2xy * -4rt3 + 6x2 * -4rt3 + -1y2 * -4rt3) + (4x2 + -9xy + -3y2) 0 = 3r4 + -1r3t + -4r2t2 + 6rt2 + 4r2t2 + (-8rt3xy + -24rt3x2 + 4rt3y2) + (4x2 + -9xy + -3y2) Reorder the terms: 0 = 3r4 + -1r3t + -4r2t2 + 6rt2 + 4r2t2 + -8rt3xy + -24rt3x2 + 4rt3y2 + (-9xy + 4x2 + -3y2) Remove parenthesis around (-9xy + 4x2 + -3y2) 0 = 3r4 + -1r3t + -4r2t2 + 6rt2 + 4r2t2 + -8rt3xy + -24rt3x2 + 4rt3y2 + -9xy + 4x2 + -3y2 Reorder the terms: 0 = 6rt2 + -8rt3xy + -24rt3x2 + 4rt3y2 + -4r2t2 + 4r2t2 + -1r3t + 3r4 + -9xy + 4x2 + -3y2 Combine like terms: -4r2t2 + 4r2t2 = 0 0 = 6rt2 + -8rt3xy + -24rt3x2 + 4rt3y2 + 0 + -1r3t + 3r4 + -9xy + 4x2 + -3y2 0 = 6rt2 + -8rt3xy + -24rt3x2 + 4rt3y2 + -1r3t + 3r4 + -9xy + 4x2 + -3y2 Solving 0 = 6rt2 + -8rt3xy + -24rt3x2 + 4rt3y2 + -1r3t + 3r4 + -9xy + 4x2 + -3y2 Solving for variable 'r'. Remove the zero: -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 6rt2 + -8rt3xy + -24rt3x2 + 4rt3y2 + -1r3t + 3r4 + -9xy + 4x2 + -3y2 + -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 Reorder the terms: -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 6rt2 + -6rt2 + -8rt3xy + 8rt3xy + -24rt3x2 + 24rt3x2 + 4rt3y2 + -4rt3y2 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: 6rt2 + -6rt2 = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + -8rt3xy + 8rt3xy + -24rt3x2 + 24rt3x2 + 4rt3y2 + -4rt3y2 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = -8rt3xy + 8rt3xy + -24rt3x2 + 24rt3x2 + 4rt3y2 + -4rt3y2 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: -8rt3xy + 8rt3xy = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + -24rt3x2 + 24rt3x2 + 4rt3y2 + -4rt3y2 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = -24rt3x2 + 24rt3x2 + 4rt3y2 + -4rt3y2 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: -24rt3x2 + 24rt3x2 = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + 4rt3y2 + -4rt3y2 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 4rt3y2 + -4rt3y2 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: 4rt3y2 + -4rt3y2 = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = -1r3t + r3t + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: -1r3t + r3t = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 3r4 + -3r4 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: 3r4 + -3r4 = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = -9xy + 9xy + 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: -9xy + 9xy = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + 4x2 + -4x2 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 4x2 + -4x2 + -3y2 + 3y2 Combine like terms: 4x2 + -4x2 = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 + -3y2 + 3y2 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -6rt2 + 8rt3xy + 24rt3x2 + -4rt3y2 + r3t + -3r4 + 9xy + -4x2 + 3y2 = 0 The solution to this equation could not be determined.
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