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Simplifying 42y2 + 41y + -8 = 0 Reorder the terms: -8 + 41y + 42y2 = 0 Solving -8 + 41y + 42y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -7y)(1 + -6y) = 0Subproblem 1
Set the factor '(-8 + -7y)' equal to zero and attempt to solve: Simplifying -8 + -7y = 0 Solving -8 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = 0 + 8 -7y = 0 + 8 Combine like terms: 0 + 8 = 8 -7y = 8 Divide each side by '-7'. y = -1.142857143 Simplifying y = -1.142857143Subproblem 2
Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 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 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Divide each side by '-6'. y = 0.1666666667 Simplifying y = 0.1666666667Solution
y = {-1.142857143, 0.1666666667}
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