y^2(-2+-1y)(9+-1y)=0

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Solution for y^2(-2+-1y)(9+-1y)=0 equation:


Simplifying
y2(-2 + -1y)(9 + -1y) = 0

Multiply (-2 + -1y) * (9 + -1y)
y2(-2(9 + -1y) + -1y * (9 + -1y)) = 0
y2((9 * -2 + -1y * -2) + -1y * (9 + -1y)) = 0
y2((-18 + 2y) + -1y * (9 + -1y)) = 0
y2(-18 + 2y + (9 * -1y + -1y * -1y)) = 0
y2(-18 + 2y + (-9y + 1y2)) = 0

Combine like terms: 2y + -9y = -7y
y2(-18 + -7y + 1y2) = 0
(-18 * y2 + -7y * y2 + 1y2 * y2) = 0
(-18y2 + -7y3 + 1y4) = 0

Solving
-18y2 + -7y3 + 1y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-18 + -7y + y2) = 0

Factor a trinomial.
y2((-2 + -1y)(9 + -1y)) = 0

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

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

Subproblem 3

Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9

Solution

y = {0, -2, 9}

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