(2y^2-5y-7)*(9y^2+6y)=

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Solution for (2y^2-5y-7)*(9y^2+6y)= equation:


Simplifying
(2y2 + -5y + -7)(9y2 + 6y) = 0

Reorder the terms:
(-7 + -5y + 2y2)(9y2 + 6y) = 0

Reorder the terms:
(-7 + -5y + 2y2)(6y + 9y2) = 0

Multiply (-7 + -5y + 2y2) * (6y + 9y2)
(-7(6y + 9y2) + -5y * (6y + 9y2) + 2y2 * (6y + 9y2)) = 0
((6y * -7 + 9y2 * -7) + -5y * (6y + 9y2) + 2y2 * (6y + 9y2)) = 0
((-42y + -63y2) + -5y * (6y + 9y2) + 2y2 * (6y + 9y2)) = 0
(-42y + -63y2 + (6y * -5y + 9y2 * -5y) + 2y2 * (6y + 9y2)) = 0
(-42y + -63y2 + (-30y2 + -45y3) + 2y2 * (6y + 9y2)) = 0
(-42y + -63y2 + -30y2 + -45y3 + (6y * 2y2 + 9y2 * 2y2)) = 0
(-42y + -63y2 + -30y2 + -45y3 + (12y3 + 18y4)) = 0

Combine like terms: -63y2 + -30y2 = -93y2
(-42y + -93y2 + -45y3 + 12y3 + 18y4) = 0

Combine like terms: -45y3 + 12y3 = -33y3
(-42y + -93y2 + -33y3 + 18y4) = 0

Solving
-42y + -93y2 + -33y3 + 18y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-14 + -31y + -11y2 + 6y3) = 0

Ignore the factor 3.

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 '(-14 + -31y + -11y2 + 6y3)' equal to zero and attempt to solve: Simplifying -14 + -31y + -11y2 + 6y3 = 0 Solving -14 + -31y + -11y2 + 6y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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