18y^2+8=24y

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Solution for 18y^2+8=24y equation:


Simplifying
18y2 + 8 = 24y

Reorder the terms:
8 + 18y2 = 24y

Solving
8 + 18y2 = 24y

Solving for variable 'y'.

Reorder the terms:
8 + -24y + 18y2 = 24y + -24y

Combine like terms: 24y + -24y = 0
8 + -24y + 18y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -12y + 9y2) = 0

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

Ignore the factor 2.

Subproblem 1

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

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 = {0.6666666667, 0.6666666667}

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