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Simplifying 3y(2x + 1) + -4(2x + 1) = 0 Reorder the terms: 3y(1 + 2x) + -4(2x + 1) = 0 (1 * 3y + 2x * 3y) + -4(2x + 1) = 0 Reorder the terms: (6xy + 3y) + -4(2x + 1) = 0 (6xy + 3y) + -4(2x + 1) = 0 Reorder the terms: 6xy + 3y + -4(1 + 2x) = 0 6xy + 3y + (1 * -4 + 2x * -4) = 0 6xy + 3y + (-4 + -8x) = 0 Reorder the terms: -4 + -8x + 6xy + 3y = 0 Solving -4 + -8x + 6xy + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -8x + 6xy + 4 + 3y = 0 + 4 Reorder the terms: -4 + 4 + -8x + 6xy + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8x + 6xy + 3y = 0 + 4 -8x + 6xy + 3y = 0 + 4 Combine like terms: 0 + 4 = 4 -8x + 6xy + 3y = 4 Add '-3y' to each side of the equation. -8x + 6xy + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 -8x + 6xy + 0 = 4 + -3y -8x + 6xy = 4 + -3y Reorder the terms: -4 + -8x + 6xy + 3y = 4 + -3y + -4 + 3y Reorder the terms: -4 + -8x + 6xy + 3y = 4 + -4 + -3y + 3y Combine like terms: 4 + -4 = 0 -4 + -8x + 6xy + 3y = 0 + -3y + 3y -4 + -8x + 6xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -4 + -8x + 6xy + 3y = 0 The solution to this equation could not be determined.
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