16m^4-81x^2=0

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Solution for 16m^4-81x^2=0 equation:


Simplifying
16m4 + -81x2 = 0

Solving
16m4 + -81x2 = 0

Solving for variable 'm'.

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

Add '81x2' to each side of the equation.
16m4 + -81x2 + 81x2 = 0 + 81x2

Combine like terms: -81x2 + 81x2 = 0
16m4 + 0 = 0 + 81x2
16m4 = 0 + 81x2
Remove the zero:
16m4 = 81x2

Divide each side by '16'.
m4 = 5.0625x2

Simplifying
m4 = 5.0625x2

Combine like terms: 5.0625x2 + -5.0625x2 = 0.0000
m4 + -5.0625x2 = 0.0000

Factor a difference between two squares.
(m2 + 2.25x)(m2 + -2.25x) = 0.0000

Subproblem 1

Set the factor '(m2 + 2.25x)' equal to zero and attempt to solve: Simplifying m2 + 2.25x = 0 Solving m2 + 2.25x = 0 Move all terms containing m to the left, all other terms to the right. Add '-2.25x' to each side of the equation. m2 + 2.25x + -2.25x = 0 + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 m2 + 0.00 = 0 + -2.25x m2 = 0 + -2.25x Remove the zero: m2 = -2.25x Simplifying m2 = -2.25x 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 '(m2 + -2.25x)' equal to zero and attempt to solve: Simplifying m2 + -2.25x = 0 Solving m2 + -2.25x = 0 Move all terms containing m to the left, all other terms to the right. Add '2.25x' to each side of the equation. m2 + -2.25x + 2.25x = 0 + 2.25x Combine like terms: -2.25x + 2.25x = 0.00 m2 + 0.00 = 0 + 2.25x m2 = 0 + 2.25x Remove the zero: m2 = 2.25x Simplifying m2 = 2.25x 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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