2y(4x^2+7xy)=

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Solution for 2y(4x^2+7xy)= equation:


Simplifying
2y(4x2 + 7xy) = 0

Reorder the terms:
2y(7xy + 4x2) = 0
(7xy * 2y + 4x2 * 2y) = 0
(14xy2 + 8x2y) = 0

Solving
14xy2 + 8x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(7y + 4x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(7y + 4x)' equal to zero and attempt to solve: Simplifying 7y + 4x = 0 Reorder the terms: 4x + 7y = 0 Solving 4x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 4x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 4x + 0 = 0 + -7y 4x = 0 + -7y Remove the zero: 4x = -7y Divide each side by '4'. x = -1.75y Simplifying x = -1.75y

Solution

x = {-1.75y}

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