11y^2-47y+12=0

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Solution for 11y^2-47y+12=0 equation:


Simplifying
11y2 + -47y + 12 = 0

Reorder the terms:
12 + -47y + 11y2 = 0

Solving
12 + -47y + 11y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -11y)(4 + -1y) = 0

Subproblem 1

Set the factor '(3 + -11y)' equal to zero and attempt to solve: Simplifying 3 + -11y = 0 Solving 3 + -11y = 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 + -11y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11y = 0 + -3 -11y = 0 + -3 Combine like terms: 0 + -3 = -3 -11y = -3 Divide each side by '-11'. y = 0.2727272727 Simplifying y = 0.2727272727

Subproblem 2

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {0.2727272727, 4}

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