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Simplifying x2 + -6x + 5 = (x + g)(x + h) Reorder the terms: 5 + -6x + x2 = (x + g)(x + h) Reorder the terms: 5 + -6x + x2 = (g + x)(x + h) Reorder the terms: 5 + -6x + x2 = (g + x)(h + x) Multiply (g + x) * (h + x) 5 + -6x + x2 = (g(h + x) + x(h + x)) 5 + -6x + x2 = ((h * g + x * g) + x(h + x)) 5 + -6x + x2 = ((gh + gx) + x(h + x)) 5 + -6x + x2 = (gh + gx + (h * x + x * x)) 5 + -6x + x2 = (gh + gx + (hx + x2)) 5 + -6x + x2 = (gh + gx + hx + x2) Add '-1x2' to each side of the equation. 5 + -6x + x2 + -1x2 = gh + gx + hx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -6x + 0 = gh + gx + hx + x2 + -1x2 5 + -6x = gh + gx + hx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -6x = gh + gx + hx + 0 5 + -6x = gh + gx + hx Solving 5 + -6x = gh + gx + hx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1gx' to each side of the equation. 5 + -1gx + -6x = gh + gx + -1gx + hx Combine like terms: gx + -1gx = 0 5 + -1gx + -6x = gh + 0 + hx 5 + -1gx + -6x = gh + hx Add '-1hx' to each side of the equation. 5 + -1gx + -1hx + -6x = gh + hx + -1hx Combine like terms: hx + -1hx = 0 5 + -1gx + -1hx + -6x = gh + 0 5 + -1gx + -1hx + -6x = gh Add '-5' to each side of the equation. 5 + -1gx + -1hx + -5 + -6x = -5 + gh Reorder the terms: 5 + -5 + -1gx + -1hx + -6x = -5 + gh Combine like terms: 5 + -5 = 0 0 + -1gx + -1hx + -6x = -5 + gh -1gx + -1hx + -6x = -5 + gh Reorder the terms: 5 + -1gh + -1gx + -1hx + -6x = -5 + gh + 5 + -1gh Reorder the terms: 5 + -1gh + -1gx + -1hx + -6x = -5 + 5 + gh + -1gh Combine like terms: -5 + 5 = 0 5 + -1gh + -1gx + -1hx + -6x = 0 + gh + -1gh 5 + -1gh + -1gx + -1hx + -6x = gh + -1gh Combine like terms: gh + -1gh = 0 5 + -1gh + -1gx + -1hx + -6x = 0 The solution to this equation could not be determined.
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