(3y-6)*(8y-6)=0

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Solution for (3y-6)*(8y-6)=0 equation:


Simplifying
(3y + -6)(8y + -6) = 0

Reorder the terms:
(-6 + 3y)(8y + -6) = 0

Reorder the terms:
(-6 + 3y)(-6 + 8y) = 0

Multiply (-6 + 3y) * (-6 + 8y)
(-6(-6 + 8y) + 3y * (-6 + 8y)) = 0
((-6 * -6 + 8y * -6) + 3y * (-6 + 8y)) = 0
((36 + -48y) + 3y * (-6 + 8y)) = 0
(36 + -48y + (-6 * 3y + 8y * 3y)) = 0
(36 + -48y + (-18y + 24y2)) = 0

Combine like terms: -48y + -18y = -66y
(36 + -66y + 24y2) = 0

Solving
36 + -66y + 24y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + -11y + 4y2) = 0

Factor a trinomial.
6((3 + -4y)(2 + -1y)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 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 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {0.75, 2}

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