(-5y+8)(-5y+4)=

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Solution for (-5y+8)(-5y+4)= equation:


Simplifying
(-5y + 8)(-5y + 4) = 0

Reorder the terms:
(8 + -5y)(-5y + 4) = 0

Reorder the terms:
(8 + -5y)(4 + -5y) = 0

Multiply (8 + -5y) * (4 + -5y)
(8(4 + -5y) + -5y * (4 + -5y)) = 0
((4 * 8 + -5y * 8) + -5y * (4 + -5y)) = 0
((32 + -40y) + -5y * (4 + -5y)) = 0
(32 + -40y + (4 * -5y + -5y * -5y)) = 0
(32 + -40y + (-20y + 25y2)) = 0

Combine like terms: -40y + -20y = -60y
(32 + -60y + 25y2) = 0

Solving
32 + -60y + 25y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -5y)(8 + -5y) = 0

Subproblem 1

Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8

Subproblem 2

Set the factor '(8 + -5y)' equal to zero and attempt to solve: Simplifying 8 + -5y = 0 Solving 8 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = 0 + -8 -5y = 0 + -8 Combine like terms: 0 + -8 = -8 -5y = -8 Divide each side by '-5'. y = 1.6 Simplifying y = 1.6

Solution

y = {0.8, 1.6}

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