23y+5y^2=42

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Solution for 23y+5y^2=42 equation:


Simplifying
23y + 5y2 = 42

Solving
23y + 5y2 = 42

Solving for variable 'y'.

Reorder the terms:
-42 + 23y + 5y2 = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + 23y + 5y2 = 0

Factor a trinomial.
(-6 + -1y)(7 + -5y) = 0

Subproblem 1

Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6

Subproblem 2

Set the factor '(7 + -5y)' equal to zero and attempt to solve: Simplifying 7 + -5y = 0 Solving 7 + -5y = 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 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4

Solution

y = {-6, 1.4}

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