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Simplifying 9y(2 + 3x)(2 + -3x) = 0 Multiply (2 + 3x) * (2 + -3x) 9y(2(2 + -3x) + 3x * (2 + -3x)) = 0 9y((2 * 2 + -3x * 2) + 3x * (2 + -3x)) = 0 9y((4 + -6x) + 3x * (2 + -3x)) = 0 9y(4 + -6x + (2 * 3x + -3x * 3x)) = 0 9y(4 + -6x + (6x + -9x2)) = 0 Combine like terms: -6x + 6x = 0 9y(4 + 0 + -9x2) = 0 9y(4 + -9x2) = 0 (4 * 9y + -9x2 * 9y) = 0 Reorder the terms: (-81x2y + 36y) = 0 (-81x2y + 36y) = 0 Solving -81x2y + 36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36y' to each side of the equation. -81x2y + 36y + -36y = 0 + -36y Combine like terms: 36y + -36y = 0 -81x2y + 0 = 0 + -36y -81x2y = 0 + -36y Remove the zero: -81x2y = -36y Divide each side by '-81y'. x2 = 0.4444444444 Simplifying x2 = 0.4444444444 Take the square root of each side: x = {-0.666666667, 0.666666667}
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