5(y-6)(4y-1)=

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Solution for 5(y-6)(4y-1)= equation:


Simplifying
5(y + -6)(4y + -1) = 0

Reorder the terms:
5(-6 + y)(4y + -1) = 0

Reorder the terms:
5(-6 + y)(-1 + 4y) = 0

Multiply (-6 + y) * (-1 + 4y)
5(-6(-1 + 4y) + y(-1 + 4y)) = 0
5((-1 * -6 + 4y * -6) + y(-1 + 4y)) = 0
5((6 + -24y) + y(-1 + 4y)) = 0
5(6 + -24y + (-1 * y + 4y * y)) = 0
5(6 + -24y + (-1y + 4y2)) = 0

Combine like terms: -24y + -1y = -25y
5(6 + -25y + 4y2) = 0
(6 * 5 + -25y * 5 + 4y2 * 5) = 0
(30 + -125y + 20y2) = 0

Solving
30 + -125y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + -25y + 4y2) = 0

Factor a trinomial.
5((1 + -4y)(6 + -1y)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 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 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25

Subproblem 2

Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6

Solution

y = {0.25, 6}

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