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Simplifying 0.5x2 + -2x + -5a + 1 = 0 Reorder the terms: 1 + -5a + -2x + 0.5x2 = 0 Solving 1 + -5a + -2x + 0.5x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5a + -2x + -1 + 0.5x2 = 0 + -1 Reorder the terms: 1 + -1 + -5a + -2x + 0.5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5a + -2x + 0.5x2 = 0 + -1 -5a + -2x + 0.5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5a + -2x + 0.5x2 = -1 Add '2x' to each side of the equation. -5a + -2x + 2x + 0.5x2 = -1 + 2x Combine like terms: -2x + 2x = 0 -5a + 0 + 0.5x2 = -1 + 2x -5a + 0.5x2 = -1 + 2x Add '-0.5x2' to each side of the equation. -5a + 0.5x2 + -0.5x2 = -1 + 2x + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 -5a + 0.0 = -1 + 2x + -0.5x2 -5a = -1 + 2x + -0.5x2 Divide each side by '-5'. a = 0.2 + -0.4x + 0.1x2 Simplifying a = 0.2 + -0.4x + 0.1x2
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