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Simplifying x2 + x + -12 = (x + -1a)(x + -1b) Reorder the terms: -12 + x + x2 = (x + -1a)(x + -1b) Reorder the terms: -12 + x + x2 = (-1a + x)(x + -1b) Reorder the terms: -12 + x + x2 = (-1a + x)(-1b + x) Multiply (-1a + x) * (-1b + x) -12 + x + x2 = (-1a * (-1b + x) + x(-1b + x)) -12 + x + x2 = ((-1b * -1a + x * -1a) + x(-1b + x)) -12 + x + x2 = ((1ab + -1ax) + x(-1b + x)) -12 + x + x2 = (1ab + -1ax + (-1b * x + x * x)) -12 + x + x2 = (1ab + -1ax + (-1bx + x2)) -12 + x + x2 = (1ab + -1ax + -1bx + x2) Add '-1x2' to each side of the equation. -12 + x + x2 + -1x2 = 1ab + -1ax + -1bx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + x + 0 = 1ab + -1ax + -1bx + x2 + -1x2 -12 + x = 1ab + -1ax + -1bx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + x = 1ab + -1ax + -1bx + 0 -12 + x = 1ab + -1ax + -1bx Solving -12 + x = 1ab + -1ax + -1bx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'ax' to each side of the equation. -12 + ax + x = 1ab + -1ax + ax + -1bx Combine like terms: -1ax + ax = 0 -12 + ax + x = 1ab + 0 + -1bx -12 + ax + x = 1ab + -1bx Add 'bx' to each side of the equation. -12 + ax + bx + x = 1ab + -1bx + bx Combine like terms: -1bx + bx = 0 -12 + ax + bx + x = 1ab + 0 -12 + ax + bx + x = 1ab Add '12' to each side of the equation. -12 + ax + bx + 12 + x = 12 + 1ab Reorder the terms: -12 + 12 + ax + bx + x = 12 + 1ab Combine like terms: -12 + 12 = 0 0 + ax + bx + x = 12 + 1ab ax + bx + x = 12 + 1ab Reorder the terms: -12 + -1ab + ax + bx + x = 12 + 1ab + -12 + -1ab Reorder the terms: -12 + -1ab + ax + bx + x = 12 + -12 + 1ab + -1ab Combine like terms: 12 + -12 = 0 -12 + -1ab + ax + bx + x = 0 + 1ab + -1ab -12 + -1ab + ax + bx + x = 1ab + -1ab Combine like terms: 1ab + -1ab = 0 -12 + -1ab + ax + bx + x = 0 The solution to this equation could not be determined.
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