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Simplifying (2x2 + -5x + 7) + -1(4x2 + 2a + -11) = 0 Reorder the terms: (7 + -5x + 2x2) + -1(4x2 + 2a + -11) = 0 Remove parenthesis around (7 + -5x + 2x2) 7 + -5x + 2x2 + -1(4x2 + 2a + -11) = 0 Reorder the terms: 7 + -5x + 2x2 + -1(-11 + 2a + 4x2) = 0 7 + -5x + 2x2 + (-11 * -1 + 2a * -1 + 4x2 * -1) = 0 7 + -5x + 2x2 + (11 + -2a + -4x2) = 0 Reorder the terms: 7 + 11 + -2a + -5x + 2x2 + -4x2 = 0 Combine like terms: 7 + 11 = 18 18 + -2a + -5x + 2x2 + -4x2 = 0 Combine like terms: 2x2 + -4x2 = -2x2 18 + -2a + -5x + -2x2 = 0 Solving 18 + -2a + -5x + -2x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -2a + -5x + -18 + -2x2 = 0 + -18 Reorder the terms: 18 + -18 + -2a + -5x + -2x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -2a + -5x + -2x2 = 0 + -18 -2a + -5x + -2x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -2a + -5x + -2x2 = -18 Add '5x' to each side of the equation. -2a + -5x + 5x + -2x2 = -18 + 5x Combine like terms: -5x + 5x = 0 -2a + 0 + -2x2 = -18 + 5x -2a + -2x2 = -18 + 5x Add '2x2' to each side of the equation. -2a + -2x2 + 2x2 = -18 + 5x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2a + 0 = -18 + 5x + 2x2 -2a = -18 + 5x + 2x2 Divide each side by '-2'. a = 9 + -2.5x + -1x2 Simplifying a = 9 + -2.5x + -1x2
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