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

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


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

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

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

Multiply (-1 + 6y) * (1 + 5y)
(-1(1 + 5y) + 6y * (1 + 5y)) = 0
((1 * -1 + 5y * -1) + 6y * (1 + 5y)) = 0
((-1 + -5y) + 6y * (1 + 5y)) = 0
(-1 + -5y + (1 * 6y + 5y * 6y)) = 0
(-1 + -5y + (6y + 30y2)) = 0

Combine like terms: -5y + 6y = 1y
(-1 + 1y + 30y2) = 0

Solving
-1 + 1y + 30y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(-1 + -5y)' equal to zero and attempt to solve: Simplifying -1 + -5y = 0 Solving -1 + -5y = 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 + -5y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5y = 0 + 1 -5y = 0 + 1 Combine like terms: 0 + 1 = 1 -5y = 1 Divide each side by '-5'. y = -0.2 Simplifying y = -0.2

Subproblem 2

Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 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 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Divide each side by '-6'. y = 0.1666666667 Simplifying y = 0.1666666667

Solution

y = {-0.2, 0.1666666667}

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