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Simplifying 15y2 + 26y + -10 = 11 Reorder the terms: -10 + 26y + 15y2 = 11 Solving -10 + 26y + 15y2 = 11 Solving for variable 'y'. Reorder the terms: -10 + -11 + 26y + 15y2 = 11 + -11 Combine like terms: -10 + -11 = -21 -21 + 26y + 15y2 = 11 + -11 Combine like terms: 11 + -11 = 0 -21 + 26y + 15y2 = 0 Factor a trinomial. (-7 + -3y)(3 + -5y) = 0Subproblem 1
Set the factor '(-7 + -3y)' equal to zero and attempt to solve: Simplifying -7 + -3y = 0 Solving -7 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = 0 + 7 -3y = 0 + 7 Combine like terms: 0 + 7 = 7 -3y = 7 Divide each side by '-3'. y = -2.333333333 Simplifying y = -2.333333333Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Solution
y = {-2.333333333, 0.6}
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