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Simplifying (a + -5) * x2 + -10x + -1(a + 5) = 0 Reorder the terms: (-5 + a) * x2 + -10x + -1(a + 5) = 0 Reorder the terms for easier multiplication: x2(-5 + a) + -10x + -1(a + 5) = 0 (-5 * x2 + a * x2) + -10x + -1(a + 5) = 0 Reorder the terms: (ax2 + -5x2) + -10x + -1(a + 5) = 0 (ax2 + -5x2) + -10x + -1(a + 5) = 0 Reorder the terms: ax2 + -5x2 + -10x + -1(5 + a) = 0 ax2 + -5x2 + -10x + (5 * -1 + a * -1) = 0 ax2 + -5x2 + -10x + (-5 + -1a) = 0 Reorder the terms: -5 + -1a + ax2 + -10x + -5x2 = 0 Solving -5 + -1a + ax2 + -10x + -5x2 = 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 + -1a + ax2 + -10x + 5 + -5x2 = 0 + 5 Reorder the terms: -5 + 5 + -1a + ax2 + -10x + -5x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a + ax2 + -10x + -5x2 = 0 + 5 -1a + ax2 + -10x + -5x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1a + ax2 + -10x + -5x2 = 5 Add '10x' to each side of the equation. -1a + ax2 + -10x + 10x + -5x2 = 5 + 10x Combine like terms: -10x + 10x = 0 -1a + ax2 + 0 + -5x2 = 5 + 10x -1a + ax2 + -5x2 = 5 + 10x Add '5x2' to each side of the equation. -1a + ax2 + -5x2 + 5x2 = 5 + 10x + 5x2 Combine like terms: -5x2 + 5x2 = 0 -1a + ax2 + 0 = 5 + 10x + 5x2 -1a + ax2 = 5 + 10x + 5x2 Reorder the terms: -5 + -1a + ax2 + -10x + -5x2 = 5 + 10x + 5x2 + -5 + -10x + -5x2 Reorder the terms: -5 + -1a + ax2 + -10x + -5x2 = 5 + -5 + 10x + -10x + 5x2 + -5x2 Combine like terms: 5 + -5 = 0 -5 + -1a + ax2 + -10x + -5x2 = 0 + 10x + -10x + 5x2 + -5x2 -5 + -1a + ax2 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2 Combine like terms: 10x + -10x = 0 -5 + -1a + ax2 + -10x + -5x2 = 0 + 5x2 + -5x2 -5 + -1a + ax2 + -10x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5 + -1a + ax2 + -10x + -5x2 = 0 The solution to this equation could not be determined.
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