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Simplifying 2(7x + (-4))(7x + 4) = 0 2(7x + -4)(7x + 4) = 0 Reorder the terms: 2(-4 + 7x)(7x + 4) = 0 Reorder the terms: 2(-4 + 7x)(4 + 7x) = 0 Multiply (-4 + 7x) * (4 + 7x) 2(-4(4 + 7x) + 7x * (4 + 7x)) = 0 2((4 * -4 + 7x * -4) + 7x * (4 + 7x)) = 0 2((-16 + -28x) + 7x * (4 + 7x)) = 0 2(-16 + -28x + (4 * 7x + 7x * 7x)) = 0 2(-16 + -28x + (28x + 49x2)) = 0 Combine like terms: -28x + 28x = 0 2(-16 + 0 + 49x2) = 0 2(-16 + 49x2) = 0 (-16 * 2 + 49x2 * 2) = 0 (-32 + 98x2) = 0 Solving -32 + 98x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 98x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 98x2 = 0 + 32 98x2 = 0 + 32 Combine like terms: 0 + 32 = 32 98x2 = 32 Divide each side by '98'. x2 = 0.3265306122 Simplifying x2 = 0.3265306122 Take the square root of each side: x = {-0.571428571, 0.571428571}
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