49x^2y^2+7x^2y+x^2=0

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Solution for 49x^2y^2+7x^2y+x^2=0 equation:


Simplifying
49x2y2 + 7x2y + x2 = 0

Reorder the terms:
x2 + 7x2y + 49x2y2 = 0

Solving
x2 + 7x2y + 49x2y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + 7y + 49y2) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(1 + 7y + 49y2)' equal to zero and attempt to solve: Simplifying 1 + 7y + 49y2 = 0 Solving 1 + 7y + 49y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 7y + -1 + 49y2 = 0 + -1 Reorder the terms: 1 + -1 + 7y + 49y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7y + 49y2 = 0 + -1 7y + 49y2 = 0 + -1 Combine like terms: 0 + -1 = -1 7y + 49y2 = -1 Add '-7y' to each side of the equation. 7y + -7y + 49y2 = -1 + -7y Combine like terms: 7y + -7y = 0 0 + 49y2 = -1 + -7y 49y2 = -1 + -7y Add '-49y2' to each side of the equation. 49y2 + -49y2 = -1 + -7y + -49y2 Combine like terms: 49y2 + -49y2 = 0 0 = -1 + -7y + -49y2 Simplifying 0 = -1 + -7y + -49y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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