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Simplifying x2 + 4x + 26 = (x + a)(x + b) Reorder the terms: 26 + 4x + x2 = (x + a)(x + b) Reorder the terms: 26 + 4x + x2 = (a + x)(x + b) Reorder the terms: 26 + 4x + x2 = (a + x)(b + x) Multiply (a + x) * (b + x) 26 + 4x + x2 = (a(b + x) + x(b + x)) 26 + 4x + x2 = ((b * a + x * a) + x(b + x)) 26 + 4x + x2 = ((ab + ax) + x(b + x)) 26 + 4x + x2 = (ab + ax + (b * x + x * x)) 26 + 4x + x2 = (ab + ax + (bx + x2)) 26 + 4x + x2 = (ab + ax + bx + x2) Add '-1x2' to each side of the equation. 26 + 4x + x2 + -1x2 = ab + ax + bx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 26 + 4x + 0 = ab + ax + bx + x2 + -1x2 26 + 4x = ab + ax + bx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 26 + 4x = ab + ax + bx + 0 26 + 4x = ab + ax + bx Solving 26 + 4x = ab + ax + bx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. 26 + -1ax + 4x = ab + ax + -1ax + bx Combine like terms: ax + -1ax = 0 26 + -1ax + 4x = ab + 0 + bx 26 + -1ax + 4x = ab + bx Add '-1bx' to each side of the equation. 26 + -1ax + -1bx + 4x = ab + bx + -1bx Combine like terms: bx + -1bx = 0 26 + -1ax + -1bx + 4x = ab + 0 26 + -1ax + -1bx + 4x = ab Add '-26' to each side of the equation. 26 + -1ax + -1bx + -26 + 4x = -26 + ab Reorder the terms: 26 + -26 + -1ax + -1bx + 4x = -26 + ab Combine like terms: 26 + -26 = 0 0 + -1ax + -1bx + 4x = -26 + ab -1ax + -1bx + 4x = -26 + ab Reorder the terms: 26 + -1ab + -1ax + -1bx + 4x = -26 + ab + 26 + -1ab Reorder the terms: 26 + -1ab + -1ax + -1bx + 4x = -26 + 26 + ab + -1ab Combine like terms: -26 + 26 = 0 26 + -1ab + -1ax + -1bx + 4x = 0 + ab + -1ab 26 + -1ab + -1ax + -1bx + 4x = ab + -1ab Combine like terms: ab + -1ab = 0 26 + -1ab + -1ax + -1bx + 4x = 0 The solution to this equation could not be determined.
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