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Simplifying (3x)(4x + 1) + 7X = 0 Remove parenthesis around (3x) 3x(4x + 1) + 7X = 0 Reorder the terms: 3x(1 + 4x) + 7X = 0 (1 * 3x + 4x * 3x) + 7X = 0 (3x + 12x2) + 7X = 0 Reorder the terms: 7X + 3x + 12x2 = 0 Solving 7X + 3x + 12x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3x' to each side of the equation. 7X + 3x + -3x + 12x2 = 0 + -3x Combine like terms: 3x + -3x = 0 7X + 0 + 12x2 = 0 + -3x 7X + 12x2 = 0 + -3x Remove the zero: 7X + 12x2 = -3x Add '-12x2' to each side of the equation. 7X + 12x2 + -12x2 = -3x + -12x2 Combine like terms: 12x2 + -12x2 = 0 7X + 0 = -3x + -12x2 7X = -3x + -12x2 Divide each side by '7'. X = -0.4285714286x + -1.714285714x2 Simplifying X = -0.4285714286x + -1.714285714x2
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