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Simplifying ax(1 + x) + -7x + 9 = 0 (1 * ax + x * ax) + -7x + 9 = 0 (1ax + ax2) + -7x + 9 = 0 Reorder the terms: 9 + 1ax + ax2 + -7x = 0 Solving 9 + 1ax + ax2 + -7x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 1ax + ax2 + -9 + -7x = 0 + -9 Reorder the terms: 9 + -9 + 1ax + ax2 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1ax + ax2 + -7x = 0 + -9 1ax + ax2 + -7x = 0 + -9 Combine like terms: 0 + -9 = -9 1ax + ax2 + -7x = -9 Add '7x' to each side of the equation. 1ax + ax2 + -7x + 7x = -9 + 7x Combine like terms: -7x + 7x = 0 1ax + ax2 + 0 = -9 + 7x 1ax + ax2 = -9 + 7x Reorder the terms: 9 + 1ax + ax2 + -7x = -9 + 7x + 9 + -7x Reorder the terms: 9 + 1ax + ax2 + -7x = -9 + 9 + 7x + -7x Combine like terms: -9 + 9 = 0 9 + 1ax + ax2 + -7x = 0 + 7x + -7x 9 + 1ax + ax2 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 9 + 1ax + ax2 + -7x = 0 The solution to this equation could not be determined.
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