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Simplifying (2x + 1)(3y + -2) = -77 Reorder the terms: (1 + 2x)(3y + -2) = -77 Reorder the terms: (1 + 2x)(-2 + 3y) = -77 Multiply (1 + 2x) * (-2 + 3y) (1(-2 + 3y) + 2x * (-2 + 3y)) = -77 ((-2 * 1 + 3y * 1) + 2x * (-2 + 3y)) = -77 ((-2 + 3y) + 2x * (-2 + 3y)) = -77 (-2 + 3y + (-2 * 2x + 3y * 2x)) = -77 (-2 + 3y + (-4x + 6xy)) = -77 Reorder the terms: (-2 + -4x + 6xy + 3y) = -77 (-2 + -4x + 6xy + 3y) = -77 Solving -2 + -4x + 6xy + 3y = -77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4x + 6xy + 2 + 3y = -77 + 2 Reorder the terms: -2 + 2 + -4x + 6xy + 3y = -77 + 2 Combine like terms: -2 + 2 = 0 0 + -4x + 6xy + 3y = -77 + 2 -4x + 6xy + 3y = -77 + 2 Combine like terms: -77 + 2 = -75 -4x + 6xy + 3y = -75 Add '-3y' to each side of the equation. -4x + 6xy + 3y + -3y = -75 + -3y Combine like terms: 3y + -3y = 0 -4x + 6xy + 0 = -75 + -3y -4x + 6xy = -75 + -3y Reorder the terms: 75 + -4x + 6xy + 3y = -75 + -3y + 75 + 3y Reorder the terms: 75 + -4x + 6xy + 3y = -75 + 75 + -3y + 3y Combine like terms: -75 + 75 = 0 75 + -4x + 6xy + 3y = 0 + -3y + 3y 75 + -4x + 6xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 75 + -4x + 6xy + 3y = 0 The solution to this equation could not be determined.
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