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Simplifying (7x + 9)(7x + -9) = 0 Reorder the terms: (9 + 7x)(7x + -9) = 0 Reorder the terms: (9 + 7x)(-9 + 7x) = 0 Multiply (9 + 7x) * (-9 + 7x) (9(-9 + 7x) + 7x * (-9 + 7x)) = 0 ((-9 * 9 + 7x * 9) + 7x * (-9 + 7x)) = 0 ((-81 + 63x) + 7x * (-9 + 7x)) = 0 (-81 + 63x + (-9 * 7x + 7x * 7x)) = 0 (-81 + 63x + (-63x + 49x2)) = 0 Combine like terms: 63x + -63x = 0 (-81 + 0 + 49x2) = 0 (-81 + 49x2) = 0 Solving -81 + 49x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 49x2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 49x2 = 0 + 81 49x2 = 0 + 81 Combine like terms: 0 + 81 = 81 49x2 = 81 Divide each side by '49'. x2 = 1.653061224 Simplifying x2 = 1.653061224 Take the square root of each side: x = {-1.285714286, 1.285714286}
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