3y^2-29y+70=0

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Solution for 3y^2-29y+70=0 equation:


Simplifying
3y2 + -29y + 70 = 0

Reorder the terms:
70 + -29y + 3y2 = 0

Solving
70 + -29y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(14 + -3y)(5 + -1y) = 0

Subproblem 1

Set the factor '(14 + -3y)' equal to zero and attempt to solve: Simplifying 14 + -3y = 0 Solving 14 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3y = 0 + -14 -3y = 0 + -14 Combine like terms: 0 + -14 = -14 -3y = -14 Divide each side by '-3'. y = 4.666666667 Simplifying y = 4.666666667

Subproblem 2

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {4.666666667, 5}

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