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Simplifying x(a + -1x + b) = 2b(a + -1b) Reorder the terms: x(a + b + -1x) = 2b(a + -1b) (a * x + b * x + -1x * x) = 2b(a + -1b) (ax + bx + -1x2) = 2b(a + -1b) ax + bx + -1x2 = (a * 2b + -1b * 2b) ax + bx + -1x2 = (2ab + -2b2) Solving ax + bx + -1x2 = 2ab + -2b2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ab' to each side of the equation. ax + bx + -2ab + -1x2 = 2ab + -2ab + -2b2 Reorder the terms: -2ab + ax + bx + -1x2 = 2ab + -2ab + -2b2 Combine like terms: 2ab + -2ab = 0 -2ab + ax + bx + -1x2 = 0 + -2b2 -2ab + ax + bx + -1x2 = -2b2 Add '-1bx' to each side of the equation. -2ab + ax + bx + -1bx + -1x2 = -1bx + -2b2 Combine like terms: bx + -1bx = 0 -2ab + ax + 0 + -1x2 = -1bx + -2b2 -2ab + ax + -1x2 = -1bx + -2b2 Add 'x2' to each side of the equation. -2ab + ax + -1x2 + x2 = -1bx + -2b2 + x2 Combine like terms: -1x2 + x2 = 0 -2ab + ax + 0 = -1bx + -2b2 + x2 -2ab + ax = -1bx + -2b2 + x2 Reorder the terms: -2ab + ax + bx + 2b2 + -1x2 = -1bx + bx + -2b2 + 2b2 + x2 + -1x2 Combine like terms: -1bx + bx = 0 -2ab + ax + bx + 2b2 + -1x2 = 0 + -2b2 + 2b2 + x2 + -1x2 -2ab + ax + bx + 2b2 + -1x2 = -2b2 + 2b2 + x2 + -1x2 Combine like terms: -2b2 + 2b2 = 0 -2ab + ax + bx + 2b2 + -1x2 = 0 + x2 + -1x2 -2ab + ax + bx + 2b2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2ab + ax + bx + 2b2 + -1x2 = 0 The solution to this equation could not be determined.
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