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Simplifying (4x2 + -2) + -1(x2 + -6x + 4) + -1(3x2 + -2x + 5) = 0 Reorder the terms: (-2 + 4x2) + -1(x2 + -6x + 4) + -1(3x2 + -2x + 5) = 0 Remove parenthesis around (-2 + 4x2) -2 + 4x2 + -1(x2 + -6x + 4) + -1(3x2 + -2x + 5) = 0 Reorder the terms: -2 + 4x2 + -1(4 + -6x + x2) + -1(3x2 + -2x + 5) = 0 -2 + 4x2 + (4 * -1 + -6x * -1 + x2 * -1) + -1(3x2 + -2x + 5) = 0 -2 + 4x2 + (-4 + 6x + -1x2) + -1(3x2 + -2x + 5) = 0 Reorder the terms: -2 + 4x2 + -4 + 6x + -1x2 + -1(5 + -2x + 3x2) = 0 -2 + 4x2 + -4 + 6x + -1x2 + (5 * -1 + -2x * -1 + 3x2 * -1) = 0 -2 + 4x2 + -4 + 6x + -1x2 + (-5 + 2x + -3x2) = 0 Reorder the terms: -2 + -4 + -5 + 6x + 2x + 4x2 + -1x2 + -3x2 = 0 Combine like terms: -2 + -4 = -6 -6 + -5 + 6x + 2x + 4x2 + -1x2 + -3x2 = 0 Combine like terms: -6 + -5 = -11 -11 + 6x + 2x + 4x2 + -1x2 + -3x2 = 0 Combine like terms: 6x + 2x = 8x -11 + 8x + 4x2 + -1x2 + -3x2 = 0 Combine like terms: 4x2 + -1x2 = 3x2 -11 + 8x + 3x2 + -3x2 = 0 Combine like terms: 3x2 + -3x2 = 0 -11 + 8x + 0 = 0 -11 + 8x = 0 Solving -11 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 0 + 11 8x = 0 + 11 Combine like terms: 0 + 11 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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