25a^4-49t^2=

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Solution for 25a^4-49t^2= equation:


Simplifying
25a4 + -49t2 = 0

Solving
25a4 + -49t2 = 0

Solving for variable 'a'.

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

Add '49t2' to each side of the equation.
25a4 + -49t2 + 49t2 = 0 + 49t2

Combine like terms: -49t2 + 49t2 = 0
25a4 + 0 = 0 + 49t2
25a4 = 0 + 49t2
Remove the zero:
25a4 = 49t2

Divide each side by '25'.
a4 = 1.96t2

Simplifying
a4 = 1.96t2

Combine like terms: 1.96t2 + -1.96t2 = 0.00
a4 + -1.96t2 = 0.00

Factor a difference between two squares.
(a2 + 1.4t)(a2 + -1.4t) = 0.00

Subproblem 1

Set the factor '(a2 + 1.4t)' equal to zero and attempt to solve: Simplifying a2 + 1.4t = 0 Solving a2 + 1.4t = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.4t' to each side of the equation. a2 + 1.4t + -1.4t = 0 + -1.4t Combine like terms: 1.4t + -1.4t = 0.0 a2 + 0.0 = 0 + -1.4t a2 = 0 + -1.4t Remove the zero: a2 = -1.4t Simplifying a2 = -1.4t 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 '(a2 + -1.4t)' equal to zero and attempt to solve: Simplifying a2 + -1.4t = 0 Solving a2 + -1.4t = 0 Move all terms containing a to the left, all other terms to the right. Add '1.4t' to each side of the equation. a2 + -1.4t + 1.4t = 0 + 1.4t Combine like terms: -1.4t + 1.4t = 0.0 a2 + 0.0 = 0 + 1.4t a2 = 0 + 1.4t Remove the zero: a2 = 1.4t Simplifying a2 = 1.4t 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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