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Simplifying ax(x + 1) + -1x(x + a) = 4a + -4 Reorder the terms: ax(1 + x) + -1x(x + a) = 4a + -4 (1 * ax + x * ax) + -1x(x + a) = 4a + -4 (1ax + ax2) + -1x(x + a) = 4a + -4 Reorder the terms: 1ax + ax2 + -1x(a + x) = 4a + -4 1ax + ax2 + (a * -1x + x * -1x) = 4a + -4 1ax + ax2 + (-1ax + -1x2) = 4a + -4 Reorder the terms: 1ax + -1ax + ax2 + -1x2 = 4a + -4 Combine like terms: 1ax + -1ax = 0 0 + ax2 + -1x2 = 4a + -4 ax2 + -1x2 = 4a + -4 Reorder the terms: ax2 + -1x2 = -4 + 4a Solving ax2 + -1x2 = -4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. ax2 + -4a + -1x2 = -4 + 4a + -4a Reorder the terms: -4a + ax2 + -1x2 = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 -4a + ax2 + -1x2 = -4 + 0 -4a + ax2 + -1x2 = -4 Add 'x2' to each side of the equation. -4a + ax2 + -1x2 + x2 = -4 + x2 Combine like terms: -1x2 + x2 = 0 -4a + ax2 + 0 = -4 + x2 -4a + ax2 = -4 + x2 Reorder the terms: 4 + -4a + ax2 + -1x2 = -4 + x2 + 4 + -1x2 Reorder the terms: 4 + -4a + ax2 + -1x2 = -4 + 4 + x2 + -1x2 Combine like terms: -4 + 4 = 0 4 + -4a + ax2 + -1x2 = 0 + x2 + -1x2 4 + -4a + ax2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -4a + ax2 + -1x2 = 0 The solution to this equation could not be determined.
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