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Simplifying (5y + 3x)(8y + -1) = 0 Reorder the terms: (3x + 5y)(8y + -1) = 0 Reorder the terms: (3x + 5y)(-1 + 8y) = 0 Multiply (3x + 5y) * (-1 + 8y) (3x * (-1 + 8y) + 5y * (-1 + 8y)) = 0 ((-1 * 3x + 8y * 3x) + 5y * (-1 + 8y)) = 0 ((-3x + 24xy) + 5y * (-1 + 8y)) = 0 (-3x + 24xy + (-1 * 5y + 8y * 5y)) = 0 (-3x + 24xy + (-5y + 40y2)) = 0 (-3x + 24xy + -5y + 40y2) = 0 Solving -3x + 24xy + -5y + 40y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -3x + 24xy + -5y + 5y + 40y2 = 0 + 5y Combine like terms: -5y + 5y = 0 -3x + 24xy + 0 + 40y2 = 0 + 5y -3x + 24xy + 40y2 = 0 + 5y Remove the zero: -3x + 24xy + 40y2 = 5y Add '-40y2' to each side of the equation. -3x + 24xy + 40y2 + -40y2 = 5y + -40y2 Combine like terms: 40y2 + -40y2 = 0 -3x + 24xy + 0 = 5y + -40y2 -3x + 24xy = 5y + -40y2 Reorder the terms: -3x + 24xy + -5y + 40y2 = 5y + -5y + -40y2 + 40y2 Combine like terms: 5y + -5y = 0 -3x + 24xy + -5y + 40y2 = 0 + -40y2 + 40y2 -3x + 24xy + -5y + 40y2 = -40y2 + 40y2 Combine like terms: -40y2 + 40y2 = 0 -3x + 24xy + -5y + 40y2 = 0 The solution to this equation could not be determined.
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