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Simplifying (15 + -1y)(15 + -1y) = 0 Multiply (15 + -1y) * (15 + -1y) (15(15 + -1y) + -1y * (15 + -1y)) = 0 ((15 * 15 + -1y * 15) + -1y * (15 + -1y)) = 0 ((225 + -15y) + -1y * (15 + -1y)) = 0 (225 + -15y + (15 * -1y + -1y * -1y)) = 0 (225 + -15y + (-15y + 1y2)) = 0 Combine like terms: -15y + -15y = -30y (225 + -30y + 1y2) = 0 Solving 225 + -30y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (15 + -1y)(15 + -1y) = 0Subproblem 1
Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15Subproblem 2
Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15Solution
y = {15, 15}
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