6y^2+17y=28

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Solution for 6y^2+17y=28 equation:


Simplifying
6y2 + 17y = 28

Reorder the terms:
17y + 6y2 = 28

Solving
17y + 6y2 = 28

Solving for variable 'y'.

Reorder the terms:
-28 + 17y + 6y2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 17y + 6y2 = 0

Factor a trinomial.
(-4 + -1y)(7 + -6y) = 0

Subproblem 1

Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4

Subproblem 2

Set the factor '(7 + -6y)' equal to zero and attempt to solve: Simplifying 7 + -6y = 0 Solving 7 + -6y = 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 + -6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6y = 0 + -7 -6y = 0 + -7 Combine like terms: 0 + -7 = -7 -6y = -7 Divide each side by '-6'. y = 1.166666667 Simplifying y = 1.166666667

Solution

y = {-4, 1.166666667}

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