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Simplifying (6x + -3)(6x + 3) = 0 Reorder the terms: (-3 + 6x)(6x + 3) = 0 Reorder the terms: (-3 + 6x)(3 + 6x) = 0 Multiply (-3 + 6x) * (3 + 6x) (-3(3 + 6x) + 6x * (3 + 6x)) = 0 ((3 * -3 + 6x * -3) + 6x * (3 + 6x)) = 0 ((-9 + -18x) + 6x * (3 + 6x)) = 0 (-9 + -18x + (3 * 6x + 6x * 6x)) = 0 (-9 + -18x + (18x + 36x2)) = 0 Combine like terms: -18x + 18x = 0 (-9 + 0 + 36x2) = 0 (-9 + 36x2) = 0 Solving -9 + 36x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 36x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 36x2 = 0 + 9 36x2 = 0 + 9 Combine like terms: 0 + 9 = 9 36x2 = 9 Divide each side by '36'. x2 = 0.25 Simplifying x2 = 0.25 Take the square root of each side: x = {-0.5, 0.5}
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