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Simplifying y2 + 13y + 12 = (y + m)(y + n) Reorder the terms: 12 + 13y + y2 = (y + m)(y + n) Reorder the terms: 12 + 13y + y2 = (m + y)(y + n) Reorder the terms: 12 + 13y + y2 = (m + y)(n + y) Multiply (m + y) * (n + y) 12 + 13y + y2 = (m(n + y) + y(n + y)) 12 + 13y + y2 = ((n * m + y * m) + y(n + y)) 12 + 13y + y2 = ((mn + my) + y(n + y)) 12 + 13y + y2 = (mn + my + (n * y + y * y)) 12 + 13y + y2 = (mn + my + (ny + y2)) 12 + 13y + y2 = (mn + my + ny + y2) Add '-1y2' to each side of the equation. 12 + 13y + y2 + -1y2 = mn + my + ny + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 12 + 13y + 0 = mn + my + ny + y2 + -1y2 12 + 13y = mn + my + ny + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 12 + 13y = mn + my + ny + 0 12 + 13y = mn + my + ny Solving 12 + 13y = mn + my + ny Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1my' to each side of the equation. 12 + -1my + 13y = mn + my + -1my + ny Combine like terms: my + -1my = 0 12 + -1my + 13y = mn + 0 + ny 12 + -1my + 13y = mn + ny Add '-1ny' to each side of the equation. 12 + -1my + -1ny + 13y = mn + ny + -1ny Combine like terms: ny + -1ny = 0 12 + -1my + -1ny + 13y = mn + 0 12 + -1my + -1ny + 13y = mn Add '-12' to each side of the equation. 12 + -1my + -1ny + -12 + 13y = -12 + mn Reorder the terms: 12 + -12 + -1my + -1ny + 13y = -12 + mn Combine like terms: 12 + -12 = 0 0 + -1my + -1ny + 13y = -12 + mn -1my + -1ny + 13y = -12 + mn Reorder the terms: 12 + -1mn + -1my + -1ny + 13y = -12 + mn + 12 + -1mn Reorder the terms: 12 + -1mn + -1my + -1ny + 13y = -12 + 12 + mn + -1mn Combine like terms: -12 + 12 = 0 12 + -1mn + -1my + -1ny + 13y = 0 + mn + -1mn 12 + -1mn + -1my + -1ny + 13y = mn + -1mn Combine like terms: mn + -1mn = 0 12 + -1mn + -1my + -1ny + 13y = 0 The solution to this equation could not be determined.
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