(5y+3)(-4y-5)=

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Solution for (5y+3)(-4y-5)= equation:


Simplifying
(5y + 3)(-4y + -5) = 0

Reorder the terms:
(3 + 5y)(-4y + -5) = 0

Reorder the terms:
(3 + 5y)(-5 + -4y) = 0

Multiply (3 + 5y) * (-5 + -4y)
(3(-5 + -4y) + 5y * (-5 + -4y)) = 0
((-5 * 3 + -4y * 3) + 5y * (-5 + -4y)) = 0
((-15 + -12y) + 5y * (-5 + -4y)) = 0
(-15 + -12y + (-5 * 5y + -4y * 5y)) = 0
(-15 + -12y + (-25y + -20y2)) = 0

Combine like terms: -12y + -25y = -37y
(-15 + -37y + -20y2) = 0

Solving
-15 + -37y + -20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 37y + 20y2) = 0

Factor a trinomial.
-1((5 + 4y)(3 + 5y)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(5 + 4y)' equal to zero and attempt to solve: Simplifying 5 + 4y = 0 Solving 5 + 4y = 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 + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 0 + -5 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4y = -5 Divide each side by '4'. y = -1.25 Simplifying y = -1.25

Subproblem 2

Set the factor '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 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 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6

Solution

y = {-1.25, -0.6}

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