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Simplifying (5x + 10)(5x + -10) = 25x2 + -100 Reorder the terms: (10 + 5x)(5x + -10) = 25x2 + -100 Reorder the terms: (10 + 5x)(-10 + 5x) = 25x2 + -100 Multiply (10 + 5x) * (-10 + 5x) (10(-10 + 5x) + 5x * (-10 + 5x)) = 25x2 + -100 ((-10 * 10 + 5x * 10) + 5x * (-10 + 5x)) = 25x2 + -100 ((-100 + 50x) + 5x * (-10 + 5x)) = 25x2 + -100 (-100 + 50x + (-10 * 5x + 5x * 5x)) = 25x2 + -100 (-100 + 50x + (-50x + 25x2)) = 25x2 + -100 Combine like terms: 50x + -50x = 0 (-100 + 0 + 25x2) = 25x2 + -100 (-100 + 25x2) = 25x2 + -100 Reorder the terms: -100 + 25x2 = -100 + 25x2 Add '100' to each side of the equation. -100 + 100 + 25x2 = -100 + 100 + 25x2 Combine like terms: -100 + 100 = 0 0 + 25x2 = -100 + 100 + 25x2 25x2 = -100 + 100 + 25x2 Combine like terms: -100 + 100 = 0 25x2 = 0 + 25x2 25x2 = 25x2 Add '-25x2' to each side of the equation. 25x2 + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 0 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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