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Simplifying 3x(4x + -2) + -2x(3x) + 4 + -3(-2x) = 0 Reorder the terms: 3x(-2 + 4x) + -2x(3x) + 4 + -3(-2x) = 0 (-2 * 3x + 4x * 3x) + -2x(3x) + 4 + -3(-2x) = 0 (-6x + 12x2) + -2x(3x) + 4 + -3(-2x) = 0 Remove parenthesis around (3x) -6x + 12x2 + -2x * 3x + 4 + -3(-2x) = 0 Reorder the terms for easier multiplication: -6x + 12x2 + -2 * 3x * x + 4 + -3(-2x) = 0 Multiply -2 * 3 -6x + 12x2 + -6x * x + 4 + -3(-2x) = 0 Multiply x * x -6x + 12x2 + -6x2 + 4 + -3(-2x) = 0 Remove parenthesis around (-2x) -6x + 12x2 + -6x2 + 4 + -3 * -2x = 0 Multiply -3 * -2 -6x + 12x2 + -6x2 + 4 + 6x = 0 Reorder the terms: 4 + -6x + 6x + 12x2 + -6x2 = 0 Combine like terms: -6x + 6x = 0 4 + 0 + 12x2 + -6x2 = 0 4 + 12x2 + -6x2 = 0 Combine like terms: 12x2 + -6x2 = 6x2 4 + 6x2 = 0 Solving 4 + 6x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6x2 = 0 + -4 6x2 = 0 + -4 Combine like terms: 0 + -4 = -4 6x2 = -4 Divide each side by '6'. x2 = -0.6666666667 Simplifying x2 = -0.6666666667 Reorder the terms: 0.6666666667 + x2 = -0.6666666667 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.6666666667 + x2 = 0.0000000000 The solution to this equation could not be determined.
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