-7y(3y^2+y-4)=

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Solution for -7y(3y^2+y-4)= equation:


Simplifying
-7y(3y2 + y + -4) = 0

Reorder the terms:
-7y(-4 + y + 3y2) = 0
(-4 * -7y + y * -7y + 3y2 * -7y) = 0
(28y + -7y2 + -21y3) = 0

Solving
28y + -7y2 + -21y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7y'.
7y(4 + -1y + -3y2) = 0

Factor a trinomial.
7y((1 + -1y)(4 + 3y)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

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

Subproblem 3

Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333

Solution

y = {0, 1, -1.333333333}

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