(-5y+2)(4y-8)=

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Solution for (-5y+2)(4y-8)= equation:


Simplifying
(-5y + 2)(4y + -8) = 0

Reorder the terms:
(2 + -5y)(4y + -8) = 0

Reorder the terms:
(2 + -5y)(-8 + 4y) = 0

Multiply (2 + -5y) * (-8 + 4y)
(2(-8 + 4y) + -5y * (-8 + 4y)) = 0
((-8 * 2 + 4y * 2) + -5y * (-8 + 4y)) = 0
((-16 + 8y) + -5y * (-8 + 4y)) = 0
(-16 + 8y + (-8 * -5y + 4y * -5y)) = 0
(-16 + 8y + (40y + -20y2)) = 0

Combine like terms: 8y + 40y = 48y
(-16 + 48y + -20y2) = 0

Solving
-16 + 48y + -20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 12y + -5y2) = 0

Factor a trinomial.
4((-2 + y)(2 + -5y)) = 0

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4

Solution

y = {2, 0.4}

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