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Simplifying (2x + 7)(5y + -6) = 0 Reorder the terms: (7 + 2x)(5y + -6) = 0 Reorder the terms: (7 + 2x)(-6 + 5y) = 0 Multiply (7 + 2x) * (-6 + 5y) (7(-6 + 5y) + 2x * (-6 + 5y)) = 0 ((-6 * 7 + 5y * 7) + 2x * (-6 + 5y)) = 0 ((-42 + 35y) + 2x * (-6 + 5y)) = 0 (-42 + 35y + (-6 * 2x + 5y * 2x)) = 0 (-42 + 35y + (-12x + 10xy)) = 0 Reorder the terms: (-42 + -12x + 10xy + 35y) = 0 (-42 + -12x + 10xy + 35y) = 0 Solving -42 + -12x + 10xy + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -12x + 10xy + 42 + 35y = 0 + 42 Reorder the terms: -42 + 42 + -12x + 10xy + 35y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -12x + 10xy + 35y = 0 + 42 -12x + 10xy + 35y = 0 + 42 Combine like terms: 0 + 42 = 42 -12x + 10xy + 35y = 42 Add '-35y' to each side of the equation. -12x + 10xy + 35y + -35y = 42 + -35y Combine like terms: 35y + -35y = 0 -12x + 10xy + 0 = 42 + -35y -12x + 10xy = 42 + -35y Reorder the terms: -42 + -12x + 10xy + 35y = 42 + -35y + -42 + 35y Reorder the terms: -42 + -12x + 10xy + 35y = 42 + -42 + -35y + 35y Combine like terms: 42 + -42 = 0 -42 + -12x + 10xy + 35y = 0 + -35y + 35y -42 + -12x + 10xy + 35y = -35y + 35y Combine like terms: -35y + 35y = 0 -42 + -12x + 10xy + 35y = 0 The solution to this equation could not be determined.
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