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Simplifying 3x(3x + 1) + -1(1 + 9x2) = 0 Reorder the terms: 3x(1 + 3x) + -1(1 + 9x2) = 0 (1 * 3x + 3x * 3x) + -1(1 + 9x2) = 0 (3x + 9x2) + -1(1 + 9x2) = 0 3x + 9x2 + (1 * -1 + 9x2 * -1) = 0 3x + 9x2 + (-1 + -9x2) = 0 Reorder the terms: -1 + 3x + 9x2 + -9x2 = 0 Combine like terms: 9x2 + -9x2 = 0 -1 + 3x + 0 = 0 -1 + 3x = 0 Solving -1 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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