(4y-5)(7y-4)=

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Solution for (4y-5)(7y-4)= equation:


Simplifying
(4y + -5)(7y + -4) = 0

Reorder the terms:
(-5 + 4y)(7y + -4) = 0

Reorder the terms:
(-5 + 4y)(-4 + 7y) = 0

Multiply (-5 + 4y) * (-4 + 7y)
(-5(-4 + 7y) + 4y * (-4 + 7y)) = 0
((-4 * -5 + 7y * -5) + 4y * (-4 + 7y)) = 0
((20 + -35y) + 4y * (-4 + 7y)) = 0
(20 + -35y + (-4 * 4y + 7y * 4y)) = 0
(20 + -35y + (-16y + 28y2)) = 0

Combine like terms: -35y + -16y = -51y
(20 + -51y + 28y2) = 0

Solving
20 + -51y + 28y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -7y)(5 + -4y) = 0

Subproblem 1

Set the factor '(4 + -7y)' equal to zero and attempt to solve: Simplifying 4 + -7y = 0 Solving 4 + -7y = 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 + -7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7y = 0 + -4 -7y = 0 + -4 Combine like terms: 0 + -4 = -4 -7y = -4 Divide each side by '-7'. y = 0.5714285714 Simplifying y = 0.5714285714

Subproblem 2

Set the factor '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25

Solution

y = {0.5714285714, 1.25}

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