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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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