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Simplifying 4x2 + (4 + -1c) * x + -1(2 + a) = 0 Reorder the terms for easier multiplication: 4x2 + x(4 + -1c) + -1(2 + a) = 0 4x2 + (4 * x + -1c * x) + -1(2 + a) = 0 Reorder the terms: 4x2 + (-1cx + 4x) + -1(2 + a) = 0 4x2 + (-1cx + 4x) + -1(2 + a) = 0 4x2 + -1cx + 4x + (2 * -1 + a * -1) = 0 4x2 + -1cx + 4x + (-2 + -1a) = 0 Reorder the terms: -2 + -1a + -1cx + 4x + 4x2 = 0 Solving -2 + -1a + -1cx + 4x + 4x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1a + -1cx + 4x + 2 + 4x2 = 0 + 2 Reorder the terms: -2 + 2 + -1a + -1cx + 4x + 4x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a + -1cx + 4x + 4x2 = 0 + 2 -1a + -1cx + 4x + 4x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1a + -1cx + 4x + 4x2 = 2 Add 'cx' to each side of the equation. -1a + -1cx + 4x + cx + 4x2 = 2 + cx Reorder the terms: -1a + -1cx + cx + 4x + 4x2 = 2 + cx Combine like terms: -1cx + cx = 0 -1a + 0 + 4x + 4x2 = 2 + cx -1a + 4x + 4x2 = 2 + cx Add '-4x' to each side of the equation. -1a + 4x + -4x + 4x2 = 2 + cx + -4x Combine like terms: 4x + -4x = 0 -1a + 0 + 4x2 = 2 + cx + -4x -1a + 4x2 = 2 + cx + -4x Add '-4x2' to each side of the equation. -1a + 4x2 + -4x2 = 2 + cx + -4x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1a + 0 = 2 + cx + -4x + -4x2 -1a = 2 + cx + -4x + -4x2 Divide each side by '-1'. a = -2 + -1cx + 4x + 4x2 Simplifying a = -2 + -1cx + 4x + 4x2
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