(5x^2+y)(x^2-6y)=

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Solution for (5x^2+y)(x^2-6y)= equation:


Simplifying
(5x2 + y)(x2 + -6y) = 0

Multiply (5x2 + y) * (x2 + -6y)
(5x2 * (x2 + -6y) + y(x2 + -6y)) = 0
((x2 * 5x2 + -6y * 5x2) + y(x2 + -6y)) = 0

Reorder the terms:
((-30x2y + 5x4) + y(x2 + -6y)) = 0
((-30x2y + 5x4) + y(x2 + -6y)) = 0
(-30x2y + 5x4 + (x2 * y + -6y * y)) = 0
(-30x2y + 5x4 + (x2y + -6y2)) = 0

Reorder the terms:
(-30x2y + x2y + 5x4 + -6y2) = 0

Combine like terms: -30x2y + x2y = -29x2y
(-29x2y + 5x4 + -6y2) = 0

Solving
-29x2y + 5x4 + -6y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -6y)(5x2 + y) = 0

Subproblem 1

Set the factor '(x2 + -6y)' equal to zero and attempt to solve: Simplifying x2 + -6y = 0 Solving x2 + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. x2 + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 x2 + 0 = 0 + 6y x2 = 0 + 6y Remove the zero: x2 = 6y Simplifying x2 = 6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(5x2 + y)' equal to zero and attempt to solve: Simplifying 5x2 + y = 0 Solving 5x2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 5x2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 5x2 + 0 = 0 + -1y 5x2 = 0 + -1y Remove the zero: 5x2 = -1y Divide each side by '5'. x2 = -0.2y Simplifying x2 = -0.2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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