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Simplifying (2x + 7)(5y + -3) = 0 Reorder the terms: (7 + 2x)(5y + -3) = 0 Reorder the terms: (7 + 2x)(-3 + 5y) = 0 Multiply (7 + 2x) * (-3 + 5y) (7(-3 + 5y) + 2x * (-3 + 5y)) = 0 ((-3 * 7 + 5y * 7) + 2x * (-3 + 5y)) = 0 ((-21 + 35y) + 2x * (-3 + 5y)) = 0 (-21 + 35y + (-3 * 2x + 5y * 2x)) = 0 (-21 + 35y + (-6x + 10xy)) = 0 Reorder the terms: (-21 + -6x + 10xy + 35y) = 0 (-21 + -6x + 10xy + 35y) = 0 Solving -21 + -6x + 10xy + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -6x + 10xy + 21 + 35y = 0 + 21 Reorder the terms: -21 + 21 + -6x + 10xy + 35y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -6x + 10xy + 35y = 0 + 21 -6x + 10xy + 35y = 0 + 21 Combine like terms: 0 + 21 = 21 -6x + 10xy + 35y = 21 Add '-35y' to each side of the equation. -6x + 10xy + 35y + -35y = 21 + -35y Combine like terms: 35y + -35y = 0 -6x + 10xy + 0 = 21 + -35y -6x + 10xy = 21 + -35y Reorder the terms: -21 + -6x + 10xy + 35y = 21 + -35y + -21 + 35y Reorder the terms: -21 + -6x + 10xy + 35y = 21 + -21 + -35y + 35y Combine like terms: 21 + -21 = 0 -21 + -6x + 10xy + 35y = 0 + -35y + 35y -21 + -6x + 10xy + 35y = -35y + 35y Combine like terms: -35y + 35y = 0 -21 + -6x + 10xy + 35y = 0 The solution to this equation could not be determined.
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