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Simplifying 5x2 + 2x + 21a + -8 = 0 Reorder the terms: -8 + 21a + 2x + 5x2 = 0 Solving -8 + 21a + 2x + 5x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 21a + 2x + 8 + 5x2 = 0 + 8 Reorder the terms: -8 + 8 + 21a + 2x + 5x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 21a + 2x + 5x2 = 0 + 8 21a + 2x + 5x2 = 0 + 8 Combine like terms: 0 + 8 = 8 21a + 2x + 5x2 = 8 Add '-2x' to each side of the equation. 21a + 2x + -2x + 5x2 = 8 + -2x Combine like terms: 2x + -2x = 0 21a + 0 + 5x2 = 8 + -2x 21a + 5x2 = 8 + -2x Add '-5x2' to each side of the equation. 21a + 5x2 + -5x2 = 8 + -2x + -5x2 Combine like terms: 5x2 + -5x2 = 0 21a + 0 = 8 + -2x + -5x2 21a = 8 + -2x + -5x2 Divide each side by '21'. a = 0.380952381 + -0.09523809524x + -0.2380952381x2 Simplifying a = 0.380952381 + -0.09523809524x + -0.2380952381x2
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