(7-y)(2y-3)=

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Solution for (7-y)(2y-3)= equation:


Simplifying
(7 + -1y)(2y + -3) = 0

Reorder the terms:
(7 + -1y)(-3 + 2y) = 0

Multiply (7 + -1y) * (-3 + 2y)
(7(-3 + 2y) + -1y * (-3 + 2y)) = 0
((-3 * 7 + 2y * 7) + -1y * (-3 + 2y)) = 0
((-21 + 14y) + -1y * (-3 + 2y)) = 0
(-21 + 14y + (-3 * -1y + 2y * -1y)) = 0
(-21 + 14y + (3y + -2y2)) = 0

Combine like terms: 14y + 3y = 17y
(-21 + 17y + -2y2) = 0

Solving
-21 + 17y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + y)(3 + -2y) = 0

Subproblem 1

Set the factor '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 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 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7

Subproblem 2

Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5

Solution

y = {7, 1.5}

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