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Simplifying (2x + 4)(x + -2) = 0 Reorder the terms: (4 + 2x)(x + -2) = 0 Reorder the terms: (4 + 2x)(-2 + x) = 0 Multiply (4 + 2x) * (-2 + x) (4(-2 + x) + 2x * (-2 + x)) = 0 ((-2 * 4 + x * 4) + 2x * (-2 + x)) = 0 ((-8 + 4x) + 2x * (-2 + x)) = 0 (-8 + 4x + (-2 * 2x + x * 2x)) = 0 (-8 + 4x + (-4x + 2x2)) = 0 Combine like terms: 4x + -4x = 0 (-8 + 0 + 2x2) = 0 (-8 + 2x2) = 0 Solving -8 + 2x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2x2 = 0 + 8 2x2 = 0 + 8 Combine like terms: 0 + 8 = 8 2x2 = 8 Divide each side by '2'. x2 = 4 Simplifying x2 = 4 Take the square root of each side: x = {-2, 2}
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