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Simplifying y2 + my + 72 = (y + 8)(y + 9) Reorder the terms: 72 + my + y2 = (y + 8)(y + 9) Reorder the terms: 72 + my + y2 = (8 + y)(y + 9) Reorder the terms: 72 + my + y2 = (8 + y)(9 + y) Multiply (8 + y) * (9 + y) 72 + my + y2 = (8(9 + y) + y(9 + y)) 72 + my + y2 = ((9 * 8 + y * 8) + y(9 + y)) 72 + my + y2 = ((72 + 8y) + y(9 + y)) 72 + my + y2 = (72 + 8y + (9 * y + y * y)) 72 + my + y2 = (72 + 8y + (9y + y2)) Combine like terms: 8y + 9y = 17y 72 + my + y2 = (72 + 17y + y2) Add '-72' to each side of the equation. 72 + my + -72 + y2 = 72 + 17y + -72 + y2 Reorder the terms: 72 + -72 + my + y2 = 72 + 17y + -72 + y2 Combine like terms: 72 + -72 = 0 0 + my + y2 = 72 + 17y + -72 + y2 my + y2 = 72 + 17y + -72 + y2 Reorder the terms: my + y2 = 72 + -72 + 17y + y2 Combine like terms: 72 + -72 = 0 my + y2 = 0 + 17y + y2 my + y2 = 17y + y2 Add '-1y2' to each side of the equation. my + y2 + -1y2 = 17y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 my + 0 = 17y + y2 + -1y2 my = 17y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 my = 17y + 0 my = 17y Solving my = 17y Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by 'y'. m = 17 Simplifying m = 17
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