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Simplifying (x + 7)(x + -7) = 0 Reorder the terms: (7 + x)(x + -7) = 0 Reorder the terms: (7 + x)(-7 + x) = 0 Multiply (7 + x) * (-7 + x) (7(-7 + x) + x(-7 + x)) = 0 ((-7 * 7 + x * 7) + x(-7 + x)) = 0 ((-49 + 7x) + x(-7 + x)) = 0 (-49 + 7x + (-7 * x + x * x)) = 0 (-49 + 7x + (-7x + x2)) = 0 Combine like terms: 7x + -7x = 0 (-49 + 0 + x2) = 0 (-49 + x2) = 0 Solving -49 + x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + x2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + x2 = 0 + 49 x2 = 0 + 49 Combine like terms: 0 + 49 = 49 x2 = 49 Simplifying x2 = 49 Take the square root of each side: x = {-7, 7}
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