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Simplifying 2(x2 + 6xy + y2) + x(x2 + 3y2) = 7 + 2(5x + 3y) Reorder the terms: 2(6xy + x2 + y2) + x(x2 + 3y2) = 7 + 2(5x + 3y) (6xy * 2 + x2 * 2 + y2 * 2) + x(x2 + 3y2) = 7 + 2(5x + 3y) (12xy + 2x2 + 2y2) + x(x2 + 3y2) = 7 + 2(5x + 3y) 12xy + 2x2 + 2y2 + (x2 * x + 3y2 * x) = 7 + 2(5x + 3y) Reorder the terms: 12xy + 2x2 + 2y2 + (3xy2 + x3) = 7 + 2(5x + 3y) 12xy + 2x2 + 2y2 + (3xy2 + x3) = 7 + 2(5x + 3y) Reorder the terms: 12xy + 3xy2 + 2x2 + x3 + 2y2 = 7 + 2(5x + 3y) 12xy + 3xy2 + 2x2 + x3 + 2y2 = 7 + (5x * 2 + 3y * 2) 12xy + 3xy2 + 2x2 + x3 + 2y2 = 7 + (10x + 6y) Solving 12xy + 3xy2 + 2x2 + x3 + 2y2 = 7 + 10x + 6y Solving for variable 'x'. Reorder the terms: -7 + -10x + 12xy + 3xy2 + 2x2 + x3 + -6y + 2y2 = 7 + 10x + 6y + -7 + -10x + -6y Reorder the terms: -7 + -10x + 12xy + 3xy2 + 2x2 + x3 + -6y + 2y2 = 7 + -7 + 10x + -10x + 6y + -6y Combine like terms: 7 + -7 = 0 -7 + -10x + 12xy + 3xy2 + 2x2 + x3 + -6y + 2y2 = 0 + 10x + -10x + 6y + -6y -7 + -10x + 12xy + 3xy2 + 2x2 + x3 + -6y + 2y2 = 10x + -10x + 6y + -6y Combine like terms: 10x + -10x = 0 -7 + -10x + 12xy + 3xy2 + 2x2 + x3 + -6y + 2y2 = 0 + 6y + -6y -7 + -10x + 12xy + 3xy2 + 2x2 + x3 + -6y + 2y2 = 6y + -6y Combine like terms: 6y + -6y = 0 -7 + -10x + 12xy + 3xy2 + 2x2 + x3 + -6y + 2y2 = 0 The solution to this equation could not be determined.
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