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Simplifying 6(x + -1)(x + 1) = 0 Reorder the terms: 6(-1 + x)(x + 1) = 0 Reorder the terms: 6(-1 + x)(1 + x) = 0 Multiply (-1 + x) * (1 + x) 6(-1(1 + x) + x(1 + x)) = 0 6((1 * -1 + x * -1) + x(1 + x)) = 0 6((-1 + -1x) + x(1 + x)) = 0 6(-1 + -1x + (1 * x + x * x)) = 0 6(-1 + -1x + (1x + x2)) = 0 Combine like terms: -1x + 1x = 0 6(-1 + 0 + x2) = 0 6(-1 + x2) = 0 (-1 * 6 + x2 * 6) = 0 (-6 + 6x2) = 0 Solving -6 + 6x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6x2 = 0 + 6 6x2 = 0 + 6 Combine like terms: 0 + 6 = 6 6x2 = 6 Divide each side by '6'. x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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