4a^2-25a^2+36=0

Solution for 4a^2-25a^2+36=0 equation:

Simplifying
4a2 + -25a2 + 36 = 0

Reorder the terms:
36 + 4a2 + -25a2 = 0

Combine like terms: 4a2 + -25a2 = -21a2
36 + -21a2 = 0

Solving
36 + -21a2 = 0

Solving for variable 'a'.

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

Add '-36' to each side of the equation.
36 + -36 + -21a2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -21a2 = 0 + -36
-21a2 = 0 + -36

Combine like terms: 0 + -36 = -36
-21a2 = -36

Divide each side by '-21'.
a2 = 1.714285714

Simplifying
a2 = 1.714285714

Take the square root of each side:
a = {-1.309307341, 1.309307341}