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Simplifying (5x + 2)(3y + -8) = 0 Reorder the terms: (2 + 5x)(3y + -8) = 0 Reorder the terms: (2 + 5x)(-8 + 3y) = 0 Multiply (2 + 5x) * (-8 + 3y) (2(-8 + 3y) + 5x * (-8 + 3y)) = 0 ((-8 * 2 + 3y * 2) + 5x * (-8 + 3y)) = 0 ((-16 + 6y) + 5x * (-8 + 3y)) = 0 (-16 + 6y + (-8 * 5x + 3y * 5x)) = 0 (-16 + 6y + (-40x + 15xy)) = 0 Reorder the terms: (-16 + -40x + 15xy + 6y) = 0 (-16 + -40x + 15xy + 6y) = 0 Solving -16 + -40x + 15xy + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -40x + 15xy + 16 + 6y = 0 + 16 Reorder the terms: -16 + 16 + -40x + 15xy + 6y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -40x + 15xy + 6y = 0 + 16 -40x + 15xy + 6y = 0 + 16 Combine like terms: 0 + 16 = 16 -40x + 15xy + 6y = 16 Add '-6y' to each side of the equation. -40x + 15xy + 6y + -6y = 16 + -6y Combine like terms: 6y + -6y = 0 -40x + 15xy + 0 = 16 + -6y -40x + 15xy = 16 + -6y Reorder the terms: -16 + -40x + 15xy + 6y = 16 + -6y + -16 + 6y Reorder the terms: -16 + -40x + 15xy + 6y = 16 + -16 + -6y + 6y Combine like terms: 16 + -16 = 0 -16 + -40x + 15xy + 6y = 0 + -6y + 6y -16 + -40x + 15xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -16 + -40x + 15xy + 6y = 0 The solution to this equation could not be determined.
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