4Y^2+5Y-9=0

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Solution for 4Y^2+5Y-9=0 equation:


Simplifying
4Y2 + 5Y + -9 = 0

Reorder the terms:
-9 + 5Y + 4Y2 = 0

Solving
-9 + 5Y + 4Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(-9 + -4Y)(1 + -1Y) = 0

Subproblem 1

Set the factor '(-9 + -4Y)' equal to zero and attempt to solve: Simplifying -9 + -4Y = 0 Solving -9 + -4Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4Y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4Y = 0 + 9 -4Y = 0 + 9 Combine like terms: 0 + 9 = 9 -4Y = 9 Divide each side by '-4'. Y = -2.25 Simplifying Y = -2.25

Subproblem 2

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

Solution

Y = {-2.25, 1}

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