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Simplifying 21y2 + -46y + 24 = 0 Reorder the terms: 24 + -46y + 21y2 = 0 Solving 24 + -46y + 21y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + -7y)(4 + -3y) = 0Subproblem 1
Set the factor '(6 + -7y)' equal to zero and attempt to solve: Simplifying 6 + -7y = 0 Solving 6 + -7y = 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 + -7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7y = 0 + -6 -7y = 0 + -6 Combine like terms: 0 + -6 = -6 -7y = -6 Divide each side by '-7'. y = 0.8571428571 Simplifying y = 0.8571428571Subproblem 2
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {0.8571428571, 1.333333333}
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