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Simplifying (12y + -5)(12y + -5) = 0 Reorder the terms: (-5 + 12y)(12y + -5) = 0 Reorder the terms: (-5 + 12y)(-5 + 12y) = 0 Multiply (-5 + 12y) * (-5 + 12y) (-5(-5 + 12y) + 12y * (-5 + 12y)) = 0 ((-5 * -5 + 12y * -5) + 12y * (-5 + 12y)) = 0 ((25 + -60y) + 12y * (-5 + 12y)) = 0 (25 + -60y + (-5 * 12y + 12y * 12y)) = 0 (25 + -60y + (-60y + 144y2)) = 0 Combine like terms: -60y + -60y = -120y (25 + -120y + 144y2) = 0 Solving 25 + -120y + 144y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -12y)(5 + -12y) = 0Subproblem 1
Set the factor '(5 + -12y)' equal to zero and attempt to solve: Simplifying 5 + -12y = 0 Solving 5 + -12y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12y = 0 + -5 -12y = 0 + -5 Combine like terms: 0 + -5 = -5 -12y = -5 Divide each side by '-12'. y = 0.4166666667 Simplifying y = 0.4166666667Subproblem 2
Set the factor '(5 + -12y)' equal to zero and attempt to solve: Simplifying 5 + -12y = 0 Solving 5 + -12y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12y = 0 + -5 -12y = 0 + -5 Combine like terms: 0 + -5 = -5 -12y = -5 Divide each side by '-12'. y = 0.4166666667 Simplifying y = 0.4166666667Solution
y = {0.4166666667, 0.4166666667}
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