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Simplifying (7x + 6)(7x + -6) = 0 Reorder the terms: (6 + 7x)(7x + -6) = 0 Reorder the terms: (6 + 7x)(-6 + 7x) = 0 Multiply (6 + 7x) * (-6 + 7x) (6(-6 + 7x) + 7x * (-6 + 7x)) = 0 ((-6 * 6 + 7x * 6) + 7x * (-6 + 7x)) = 0 ((-36 + 42x) + 7x * (-6 + 7x)) = 0 (-36 + 42x + (-6 * 7x + 7x * 7x)) = 0 (-36 + 42x + (-42x + 49x2)) = 0 Combine like terms: 42x + -42x = 0 (-36 + 0 + 49x2) = 0 (-36 + 49x2) = 0 Solving -36 + 49x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 49x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 49x2 = 0 + 36 49x2 = 0 + 36 Combine like terms: 0 + 36 = 36 49x2 = 36 Divide each side by '49'. x2 = 0.7346938776 Simplifying x2 = 0.7346938776 Take the square root of each side: x = {-0.857142857, 0.857142857}
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