(9-y)(4y-7)=0

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Solution for (9-y)(4y-7)=0 equation:


Simplifying
(9 + -1y)(4y + -7) = 0

Reorder the terms:
(9 + -1y)(-7 + 4y) = 0

Multiply (9 + -1y) * (-7 + 4y)
(9(-7 + 4y) + -1y * (-7 + 4y)) = 0
((-7 * 9 + 4y * 9) + -1y * (-7 + 4y)) = 0
((-63 + 36y) + -1y * (-7 + 4y)) = 0
(-63 + 36y + (-7 * -1y + 4y * -1y)) = 0
(-63 + 36y + (7y + -4y2)) = 0

Combine like terms: 36y + 7y = 43y
(-63 + 43y + -4y2) = 0

Solving
-63 + 43y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + y)(7 + -4y) = 0

Subproblem 1

Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9

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 = {9, 1.75}

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