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Simplifying (5x + 7)(5x + -7) = 0 Reorder the terms: (7 + 5x)(5x + -7) = 0 Reorder the terms: (7 + 5x)(-7 + 5x) = 0 Multiply (7 + 5x) * (-7 + 5x) (7(-7 + 5x) + 5x * (-7 + 5x)) = 0 ((-7 * 7 + 5x * 7) + 5x * (-7 + 5x)) = 0 ((-49 + 35x) + 5x * (-7 + 5x)) = 0 (-49 + 35x + (-7 * 5x + 5x * 5x)) = 0 (-49 + 35x + (-35x + 25x2)) = 0 Combine like terms: 35x + -35x = 0 (-49 + 0 + 25x2) = 0 (-49 + 25x2) = 0 Solving -49 + 25x2 = 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 + 25x2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 25x2 = 0 + 49 25x2 = 0 + 49 Combine like terms: 0 + 49 = 49 25x2 = 49 Divide each side by '25'. x2 = 1.96 Simplifying x2 = 1.96 Take the square root of each side: x = {-1.4, 1.4}
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