4(y+9)(-y-1)=0

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Solution for 4(y+9)(-y-1)=0 equation:


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

Reorder the terms:
4(9 + y)(-1y + -1) = 0

Reorder the terms:
4(9 + y)(-1 + -1y) = 0

Multiply (9 + y) * (-1 + -1y)
4(9(-1 + -1y) + y(-1 + -1y)) = 0
4((-1 * 9 + -1y * 9) + y(-1 + -1y)) = 0
4((-9 + -9y) + y(-1 + -1y)) = 0
4(-9 + -9y + (-1 * y + -1y * y)) = 0
4(-9 + -9y + (-1y + -1y2)) = 0

Combine like terms: -9y + -1y = -10y
4(-9 + -10y + -1y2) = 0
(-9 * 4 + -10y * 4 + -1y2 * 4) = 0
(-36 + -40y + -4y2) = 0

Solving
-36 + -40y + -4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(9 + 10y + y2) = 0

Factor a trinomial.
-4((9 + y)(1 + y)) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 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 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9

Subproblem 2

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

Solution

y = {-9, -1}

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