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Simplifying X2 + 5ax + 6a2 + bx + 3ab = 0 Reorder the terms: X2 + 3ab + 5ax + 6a2 + bx = 0 Solving X2 + 3ab + 5ax + 6a2 + bx = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3ab' to each side of the equation. X2 + 3ab + 5ax + 6a2 + -3ab + bx = 0 + -3ab Reorder the terms: X2 + 3ab + -3ab + 5ax + 6a2 + bx = 0 + -3ab Combine like terms: 3ab + -3ab = 0 X2 + 0 + 5ax + 6a2 + bx = 0 + -3ab X2 + 5ax + 6a2 + bx = 0 + -3ab Remove the zero: X2 + 5ax + 6a2 + bx = -3ab Add '-5ax' to each side of the equation. X2 + 5ax + 6a2 + -5ax + bx = -3ab + -5ax Reorder the terms: X2 + 5ax + -5ax + 6a2 + bx = -3ab + -5ax Combine like terms: 5ax + -5ax = 0 X2 + 0 + 6a2 + bx = -3ab + -5ax X2 + 6a2 + bx = -3ab + -5ax Add '-6a2' to each side of the equation. X2 + 6a2 + -6a2 + bx = -3ab + -5ax + -6a2 Combine like terms: 6a2 + -6a2 = 0 X2 + 0 + bx = -3ab + -5ax + -6a2 X2 + bx = -3ab + -5ax + -6a2 Add '-1bx' to each side of the equation. X2 + bx + -1bx = -3ab + -5ax + -6a2 + -1bx Combine like terms: bx + -1bx = 0 X2 + 0 = -3ab + -5ax + -6a2 + -1bx X2 = -3ab + -5ax + -6a2 + -1bx Simplifying X2 = -3ab + -5ax + -6a2 + -1bx Reorder the terms: X2 + 3ab + 5ax + 6a2 + bx = -3ab + 3ab + -5ax + 5ax + -6a2 + 6a2 + -1bx + bx Combine like terms: -3ab + 3ab = 0 X2 + 3ab + 5ax + 6a2 + bx = 0 + -5ax + 5ax + -6a2 + 6a2 + -1bx + bx X2 + 3ab + 5ax + 6a2 + bx = -5ax + 5ax + -6a2 + 6a2 + -1bx + bx Combine like terms: -5ax + 5ax = 0 X2 + 3ab + 5ax + 6a2 + bx = 0 + -6a2 + 6a2 + -1bx + bx X2 + 3ab + 5ax + 6a2 + bx = -6a2 + 6a2 + -1bx + bx Combine like terms: -6a2 + 6a2 = 0 X2 + 3ab + 5ax + 6a2 + bx = 0 + -1bx + bx X2 + 3ab + 5ax + 6a2 + bx = -1bx + bx Combine like terms: -1bx + bx = 0 X2 + 3ab + 5ax + 6a2 + bx = 0 The solution to this equation could not be determined.
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