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Simplifying (5x + 2)(5x + -2) = 0 Reorder the terms: (2 + 5x)(5x + -2) = 0 Reorder the terms: (2 + 5x)(-2 + 5x) = 0 Multiply (2 + 5x) * (-2 + 5x) (2(-2 + 5x) + 5x * (-2 + 5x)) = 0 ((-2 * 2 + 5x * 2) + 5x * (-2 + 5x)) = 0 ((-4 + 10x) + 5x * (-2 + 5x)) = 0 (-4 + 10x + (-2 * 5x + 5x * 5x)) = 0 (-4 + 10x + (-10x + 25x2)) = 0 Combine like terms: 10x + -10x = 0 (-4 + 0 + 25x2) = 0 (-4 + 25x2) = 0 Solving -4 + 25x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 25x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 25x2 = 0 + 4 25x2 = 0 + 4 Combine like terms: 0 + 4 = 4 25x2 = 4 Divide each side by '25'. x2 = 0.16 Simplifying x2 = 0.16 Take the square root of each side: x = {-0.4, 0.4}
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