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

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Solution for (1.75+y)(4-8y)= equation:


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

Multiply (1.75 + y) * (4 + -8y)
(1.75(4 + -8y) + y(4 + -8y)) = 0
((4 * 1.75 + -8y * 1.75) + y(4 + -8y)) = 0
((7 + -14y) + y(4 + -8y)) = 0
(7 + -14y + (4 * y + -8y * y)) = 0
(7 + -14y + (4y + -8y2)) = 0

Combine like terms: -14y + 4y = -10y
(7 + -10y + -8y2) = 0

Solving
7 + -10y + -8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -2y)(7 + 4y) = 0

Subproblem 1

Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5

Subproblem 2

Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 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 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75

Solution

y = {0.5, -1.75}

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