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Simplifying ax2 + (5 + -2a) * x + (a + -5) = 0 Reorder the terms for easier multiplication: ax2 + x(5 + -2a) + (a + -5) = 0 ax2 + (5 * x + -2a * x) + (a + -5) = 0 Reorder the terms: ax2 + (-2ax + 5x) + (a + -5) = 0 ax2 + (-2ax + 5x) + (a + -5) = 0 Reorder the terms: ax2 + -2ax + 5x + (-5 + a) = 0 Remove parenthesis around (-5 + a) ax2 + -2ax + 5x + -5 + a = 0 Reorder the terms: -5 + a + -2ax + ax2 + 5x = 0 Solving -5 + a + -2ax + ax2 + 5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + a + -2ax + ax2 + 5 + 5x = 0 + 5 Reorder the terms: -5 + 5 + a + -2ax + ax2 + 5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a + -2ax + ax2 + 5x = 0 + 5 a + -2ax + ax2 + 5x = 0 + 5 Combine like terms: 0 + 5 = 5 a + -2ax + ax2 + 5x = 5 Add '-5x' to each side of the equation. a + -2ax + ax2 + 5x + -5x = 5 + -5x Combine like terms: 5x + -5x = 0 a + -2ax + ax2 + 0 = 5 + -5x a + -2ax + ax2 = 5 + -5x Reorder the terms: -5 + a + -2ax + ax2 + 5x = 5 + -5x + -5 + 5x Reorder the terms: -5 + a + -2ax + ax2 + 5x = 5 + -5 + -5x + 5x Combine like terms: 5 + -5 = 0 -5 + a + -2ax + ax2 + 5x = 0 + -5x + 5x -5 + a + -2ax + ax2 + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -5 + a + -2ax + ax2 + 5x = 0 The solution to this equation could not be determined.
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