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Simplifying (7x + -0.7)(7x + 0.7) = 0 Reorder the terms: (-0.7 + 7x)(7x + 0.7) = 0 Reorder the terms: (-0.7 + 7x)(0.7 + 7x) = 0 Multiply (-0.7 + 7x) * (0.7 + 7x) (-0.7(0.7 + 7x) + 7x * (0.7 + 7x)) = 0 ((0.7 * -0.7 + 7x * -0.7) + 7x * (0.7 + 7x)) = 0 ((-0.49 + -4.9x) + 7x * (0.7 + 7x)) = 0 (-0.49 + -4.9x + (0.7 * 7x + 7x * 7x)) = 0 (-0.49 + -4.9x + (4.9x + 49x2)) = 0 Combine like terms: -4.9x + 4.9x = 0.0 (-0.49 + 0.0 + 49x2) = 0 (-0.49 + 49x2) = 0 Solving -0.49 + 49x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.49' to each side of the equation. -0.49 + 0.49 + 49x2 = 0 + 0.49 Combine like terms: -0.49 + 0.49 = 0.00 0.00 + 49x2 = 0 + 0.49 49x2 = 0 + 0.49 Combine like terms: 0 + 0.49 = 0.49 49x2 = 0.49 Divide each side by '49'. x2 = 0.01 Simplifying x2 = 0.01 Take the square root of each side: x = {-0.1, 0.1}
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