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Simplifying A(x + -1b) + x(b + -1a) = 2b(2a + -1x) Reorder the terms: A(-1b + x) + x(b + -1a) = 2b(2a + -1x) (-1b * A + x * A) + x(b + -1a) = 2b(2a + -1x) (-1bA + xA) + x(b + -1a) = 2b(2a + -1x) Reorder the terms: -1bA + xA + x(-1a + b) = 2b(2a + -1x) -1bA + xA + (-1a * x + b * x) = 2b(2a + -1x) -1bA + xA + (-1ax + bx) = 2b(2a + -1x) Reorder the terms: -1ax + -1bA + bx + xA = 2b(2a + -1x) -1ax + -1bA + bx + xA = (2a * 2b + -1x * 2b) -1ax + -1bA + bx + xA = (4ab + -2bx) Solving -1ax + -1bA + bx + xA = 4ab + -2bx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4ab' to each side of the equation. -1ax + -1bA + bx + -4ab + xA = 4ab + -4ab + -2bx Reorder the terms: -4ab + -1ax + -1bA + bx + xA = 4ab + -4ab + -2bx Combine like terms: 4ab + -4ab = 0 -4ab + -1ax + -1bA + bx + xA = 0 + -2bx -4ab + -1ax + -1bA + bx + xA = -2bx Add 'bA' to each side of the equation. -4ab + -1ax + -1bA + bx + bA + xA = bA + -2bx Reorder the terms: -4ab + -1ax + -1bA + bA + bx + xA = bA + -2bx Combine like terms: -1bA + bA = 0 -4ab + -1ax + 0 + bx + xA = bA + -2bx -4ab + -1ax + bx + xA = bA + -2bx Add '-1bx' to each side of the equation. -4ab + -1ax + bx + -1bx + xA = bA + -2bx + -1bx Combine like terms: bx + -1bx = 0 -4ab + -1ax + 0 + xA = bA + -2bx + -1bx -4ab + -1ax + xA = bA + -2bx + -1bx Combine like terms: -2bx + -1bx = -3bx -4ab + -1ax + xA = bA + -3bx Add '-1xA' to each side of the equation. -4ab + -1ax + xA + -1xA = bA + -3bx + -1xA Combine like terms: xA + -1xA = 0 -4ab + -1ax + 0 = bA + -3bx + -1xA -4ab + -1ax = bA + -3bx + -1xA Reorder the terms: -4ab + -1ax + -1bA + 3bx + xA = bA + -1bA + -3bx + 3bx + -1xA + xA Combine like terms: bA + -1bA = 0 -4ab + -1ax + -1bA + 3bx + xA = 0 + -3bx + 3bx + -1xA + xA -4ab + -1ax + -1bA + 3bx + xA = -3bx + 3bx + -1xA + xA Combine like terms: -3bx + 3bx = 0 -4ab + -1ax + -1bA + 3bx + xA = 0 + -1xA + xA -4ab + -1ax + -1bA + 3bx + xA = -1xA + xA Combine like terms: -1xA + xA = 0 -4ab + -1ax + -1bA + 3bx + xA = 0 The solution to this equation could not be determined.
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