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Simplifying x2 + -13x + 30 = (x + g)(x + h) Reorder the terms: 30 + -13x + x2 = (x + g)(x + h) Reorder the terms: 30 + -13x + x2 = (g + x)(x + h) Reorder the terms: 30 + -13x + x2 = (g + x)(h + x) Multiply (g + x) * (h + x) 30 + -13x + x2 = (g(h + x) + x(h + x)) 30 + -13x + x2 = ((h * g + x * g) + x(h + x)) 30 + -13x + x2 = ((gh + gx) + x(h + x)) 30 + -13x + x2 = (gh + gx + (h * x + x * x)) 30 + -13x + x2 = (gh + gx + (hx + x2)) 30 + -13x + x2 = (gh + gx + hx + x2) Add '-1x2' to each side of the equation. 30 + -13x + x2 + -1x2 = gh + gx + hx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + -13x + 0 = gh + gx + hx + x2 + -1x2 30 + -13x = gh + gx + hx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + -13x = gh + gx + hx + 0 30 + -13x = gh + gx + hx Solving 30 + -13x = 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. 30 + -1gx + -13x = gh + gx + -1gx + hx Combine like terms: gx + -1gx = 0 30 + -1gx + -13x = gh + 0 + hx 30 + -1gx + -13x = gh + hx Add '-1hx' to each side of the equation. 30 + -1gx + -1hx + -13x = gh + hx + -1hx Combine like terms: hx + -1hx = 0 30 + -1gx + -1hx + -13x = gh + 0 30 + -1gx + -1hx + -13x = gh Add '-30' to each side of the equation. 30 + -1gx + -1hx + -30 + -13x = -30 + gh Reorder the terms: 30 + -30 + -1gx + -1hx + -13x = -30 + gh Combine like terms: 30 + -30 = 0 0 + -1gx + -1hx + -13x = -30 + gh -1gx + -1hx + -13x = -30 + gh Reorder the terms: 30 + -1gh + -1gx + -1hx + -13x = -30 + gh + 30 + -1gh Reorder the terms: 30 + -1gh + -1gx + -1hx + -13x = -30 + 30 + gh + -1gh Combine like terms: -30 + 30 = 0 30 + -1gh + -1gx + -1hx + -13x = 0 + gh + -1gh 30 + -1gh + -1gx + -1hx + -13x = gh + -1gh Combine like terms: gh + -1gh = 0 30 + -1gh + -1gx + -1hx + -13x = 0 The solution to this equation could not be determined.
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