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Simplifying (2 + -7x)(7x + 2) = 0 Reorder the terms: (2 + -7x)(2 + 7x) = 0 Multiply (2 + -7x) * (2 + 7x) (2(2 + 7x) + -7x * (2 + 7x)) = 0 ((2 * 2 + 7x * 2) + -7x * (2 + 7x)) = 0 ((4 + 14x) + -7x * (2 + 7x)) = 0 (4 + 14x + (2 * -7x + 7x * -7x)) = 0 (4 + 14x + (-14x + -49x2)) = 0 Combine like terms: 14x + -14x = 0 (4 + 0 + -49x2) = 0 (4 + -49x2) = 0 Solving 4 + -49x2 = 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 + -49x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -49x2 = 0 + -4 -49x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -49x2 = -4 Divide each side by '-49'. x2 = 0.08163265306 Simplifying x2 = 0.08163265306 Take the square root of each side: x = {-0.285714286, 0.285714286}
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