4y^2-24y+35=0

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Solution for 4y^2-24y+35=0 equation:


Simplifying
4y2 + -24y + 35 = 0

Reorder the terms:
35 + -24y + 4y2 = 0

Solving
35 + -24y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -2y)(7 + -2y) = 0

Subproblem 1

Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5

Subproblem 2

Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5

Solution

y = {2.5, 3.5}

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