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Simplifying 0 = (9x + 6)(9x + -6) Reorder the terms: 0 = (6 + 9x)(9x + -6) Reorder the terms: 0 = (6 + 9x)(-6 + 9x) Multiply (6 + 9x) * (-6 + 9x) 0 = (6(-6 + 9x) + 9x * (-6 + 9x)) 0 = ((-6 * 6 + 9x * 6) + 9x * (-6 + 9x)) 0 = ((-36 + 54x) + 9x * (-6 + 9x)) 0 = (-36 + 54x + (-6 * 9x + 9x * 9x)) 0 = (-36 + 54x + (-54x + 81x2)) Combine like terms: 54x + -54x = 0 0 = (-36 + 0 + 81x2) 0 = (-36 + 81x2) Solving 0 = -36 + 81x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x2' to each side of the equation. 0 + -81x2 = -36 + 81x2 + -81x2 Remove the zero: -81x2 = -36 + 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 -81x2 = -36 + 0 -81x2 = -36 Divide each side by '-81'. x2 = 0.4444444444 Simplifying x2 = 0.4444444444 Take the square root of each side: x = {-0.666666667, 0.666666667}
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