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Simplifying 15y2 + 23y + 12 = 6 Reorder the terms: 12 + 23y + 15y2 = 6 Solving 12 + 23y + 15y2 = 6 Solving for variable 'y'. Reorder the terms: 12 + -6 + 23y + 15y2 = 6 + -6 Combine like terms: 12 + -6 = 6 6 + 23y + 15y2 = 6 + -6 Combine like terms: 6 + -6 = 0 6 + 23y + 15y2 = 0 Factor a trinomial. (6 + 5y)(1 + 3y) = 0Subproblem 1
Set the factor '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2Subproblem 2
Set the factor '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {-1.2, -0.3333333333}
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