4y^2-11y=-6

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Solution for 4y^2-11y=-6 equation:


Simplifying
4y2 + -11y = -6

Reorder the terms:
-11y + 4y2 = -6

Solving
-11y + 4y2 = -6

Solving for variable 'y'.

Reorder the terms:
6 + -11y + 4y2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -11y + 4y2 = 0

Factor a trinomial.
(3 + -4y)(2 + -1y) = 0

Subproblem 1

Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 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 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {0.75, 2}

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