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Simplifying (7x + -8)(7x + 8) = 0 Reorder the terms: (-8 + 7x)(7x + 8) = 0 Reorder the terms: (-8 + 7x)(8 + 7x) = 0 Multiply (-8 + 7x) * (8 + 7x) (-8(8 + 7x) + 7x * (8 + 7x)) = 0 ((8 * -8 + 7x * -8) + 7x * (8 + 7x)) = 0 ((-64 + -56x) + 7x * (8 + 7x)) = 0 (-64 + -56x + (8 * 7x + 7x * 7x)) = 0 (-64 + -56x + (56x + 49x2)) = 0 Combine like terms: -56x + 56x = 0 (-64 + 0 + 49x2) = 0 (-64 + 49x2) = 0 Solving -64 + 49x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 49x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 49x2 = 0 + 64 49x2 = 0 + 64 Combine like terms: 0 + 64 = 64 49x2 = 64 Divide each side by '49'. x2 = 1.306122449 Simplifying x2 = 1.306122449 Take the square root of each side: x = {-1.142857143, 1.142857143}
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