8y=3y^2+4

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Solution for 8y=3y^2+4 equation:


Simplifying
8y = 3y2 + 4

Reorder the terms:
8y = 4 + 3y2

Solving
8y = 4 + 3y2

Solving for variable 'y'.

Reorder the terms:
-4 + 8y + -3y2 = 4 + 3y2 + -4 + -3y2

Reorder the terms:
-4 + 8y + -3y2 = 4 + -4 + 3y2 + -3y2

Combine like terms: 4 + -4 = 0
-4 + 8y + -3y2 = 0 + 3y2 + -3y2
-4 + 8y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-4 + 8y + -3y2 = 0

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

Subproblem 1

Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2

Subproblem 2

Set the factor '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 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 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667

Solution

y = {2, 0.6666666667}

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