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Simplifying (2 + 3y)(4x + 5y) = 0 Multiply (2 + 3y) * (4x + 5y) (2(4x + 5y) + 3y * (4x + 5y)) = 0 ((4x * 2 + 5y * 2) + 3y * (4x + 5y)) = 0 ((8x + 10y) + 3y * (4x + 5y)) = 0 (8x + 10y + (4x * 3y + 5y * 3y)) = 0 (8x + 10y + (12xy + 15y2)) = 0 Reorder the terms: (8x + 12xy + 10y + 15y2) = 0 (8x + 12xy + 10y + 15y2) = 0 Solving 8x + 12xy + 10y + 15y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 8x + 12xy + 10y + -10y + 15y2 = 0 + -10y Combine like terms: 10y + -10y = 0 8x + 12xy + 0 + 15y2 = 0 + -10y 8x + 12xy + 15y2 = 0 + -10y Remove the zero: 8x + 12xy + 15y2 = -10y Add '-15y2' to each side of the equation. 8x + 12xy + 15y2 + -15y2 = -10y + -15y2 Combine like terms: 15y2 + -15y2 = 0 8x + 12xy + 0 = -10y + -15y2 8x + 12xy = -10y + -15y2 Reorder the terms: 8x + 12xy + 10y + 15y2 = -10y + 10y + -15y2 + 15y2 Combine like terms: -10y + 10y = 0 8x + 12xy + 10y + 15y2 = 0 + -15y2 + 15y2 8x + 12xy + 10y + 15y2 = -15y2 + 15y2 Combine like terms: -15y2 + 15y2 = 0 8x + 12xy + 10y + 15y2 = 0 The solution to this equation could not be determined.
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