(1+y)(1+9y)=

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Solution for (1+y)(1+9y)= equation:


Simplifying
(1 + y)(1 + 9y) = 0

Multiply (1 + y) * (1 + 9y)
(1(1 + 9y) + y(1 + 9y)) = 0
((1 * 1 + 9y * 1) + y(1 + 9y)) = 0
((1 + 9y) + y(1 + 9y)) = 0
(1 + 9y + (1 * y + 9y * y)) = 0
(1 + 9y + (1y + 9y2)) = 0

Combine like terms: 9y + 1y = 10y
(1 + 10y + 9y2) = 0

Solving
1 + 10y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + y)(1 + 9y) = 0

Subproblem 1

Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1

Subproblem 2

Set the factor '(1 + 9y)' equal to zero and attempt to solve: Simplifying 1 + 9y = 0 Solving 1 + 9y = 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 + 9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 0 + -1 9y = 0 + -1 Combine like terms: 0 + -1 = -1 9y = -1 Divide each side by '9'. y = -0.1111111111 Simplifying y = -0.1111111111

Solution

y = {-1, -0.1111111111}

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