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Simplifying x2 + -1(a + 3b) * x + 3ab = 0 Reorder the terms for easier multiplication: x2 + -1x(a + 3b) + 3ab = 0 x2 + (a * -1x + 3b * -1x) + 3ab = 0 x2 + (-1ax + -3bx) + 3ab = 0 Reorder the terms: 3ab + -1ax + -3bx + x2 = 0 Solving 3ab + -1ax + -3bx + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3bx' to each side of the equation. 3ab + -1ax + -3bx + 3bx + x2 = 0 + 3bx Combine like terms: -3bx + 3bx = 0 3ab + -1ax + 0 + x2 = 0 + 3bx 3ab + -1ax + x2 = 0 + 3bx Remove the zero: 3ab + -1ax + x2 = 3bx Add '-1x2' to each side of the equation. 3ab + -1ax + x2 + -1x2 = 3bx + -1x2 Combine like terms: x2 + -1x2 = 0 3ab + -1ax + 0 = 3bx + -1x2 3ab + -1ax = 3bx + -1x2 Reorder the terms: 3ab + -1ax + -3bx + x2 = 3bx + -3bx + -1x2 + x2 Combine like terms: 3bx + -3bx = 0 3ab + -1ax + -3bx + x2 = 0 + -1x2 + x2 3ab + -1ax + -3bx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3ab + -1ax + -3bx + x2 = 0 The solution to this equation could not be determined.
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