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Simplifying ax2 + (a + -4) * x + 7 = 3x + -2 Reorder the terms: ax2 + (-4 + a) * x + 7 = 3x + -2 Reorder the terms for easier multiplication: ax2 + x(-4 + a) + 7 = 3x + -2 ax2 + (-4 * x + a * x) + 7 = 3x + -2 Reorder the terms: ax2 + (ax + -4x) + 7 = 3x + -2 ax2 + (ax + -4x) + 7 = 3x + -2 Reorder the terms: 7 + ax + ax2 + -4x = 3x + -2 Reorder the terms: 7 + ax + ax2 + -4x = -2 + 3x Solving 7 + ax + ax2 + -4x = -2 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + ax + ax2 + -7 + -4x = -2 + -7 + 3x Reorder the terms: 7 + -7 + ax + ax2 + -4x = -2 + -7 + 3x Combine like terms: 7 + -7 = 0 0 + ax + ax2 + -4x = -2 + -7 + 3x ax + ax2 + -4x = -2 + -7 + 3x Combine like terms: -2 + -7 = -9 ax + ax2 + -4x = -9 + 3x Add '4x' to each side of the equation. ax + ax2 + -4x + 4x = -9 + 3x + 4x Combine like terms: -4x + 4x = 0 ax + ax2 + 0 = -9 + 3x + 4x ax + ax2 = -9 + 3x + 4x Combine like terms: 3x + 4x = 7x ax + ax2 = -9 + 7x Reorder the terms: 9 + ax + ax2 + -7x = -9 + 7x + 9 + -7x Reorder the terms: 9 + ax + ax2 + -7x = -9 + 9 + 7x + -7x Combine like terms: -9 + 9 = 0 9 + ax + ax2 + -7x = 0 + 7x + -7x 9 + ax + ax2 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 9 + ax + ax2 + -7x = 0 The solution to this equation could not be determined.
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