y(2y-19)=33

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Solution for y(2y-19)=33 equation:


Simplifying
y(2y + -19) = 33

Reorder the terms:
y(-19 + 2y) = 33
(-19 * y + 2y * y) = 33
(-19y + 2y2) = 33

Solving
-19y + 2y2 = 33

Solving for variable 'y'.

Reorder the terms:
-33 + -19y + 2y2 = 33 + -33

Combine like terms: 33 + -33 = 0
-33 + -19y + 2y2 = 0

Factor a trinomial.
(-3 + -2y)(11 + -1y) = 0

Subproblem 1

Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5

Subproblem 2

Set the factor '(11 + -1y)' equal to zero and attempt to solve: Simplifying 11 + -1y = 0 Solving 11 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1y = 0 + -11 -1y = 0 + -11 Combine like terms: 0 + -11 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11

Solution

y = {-1.5, 11}

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