a^2-14a^2+45=0

Solution for a^2-14a^2+45=0 equation:

Simplifying
a2 + -14a2 + 45 = 0

Reorder the terms:
45 + a2 + -14a2 = 0

Combine like terms: a2 + -14a2 = -13a2
45 + -13a2 = 0

Solving
45 + -13a2 = 0

Solving for variable 'a'.

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

Add '-45' to each side of the equation.
45 + -45 + -13a2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -13a2 = 0 + -45
-13a2 = 0 + -45

Combine like terms: 0 + -45 = -45
-13a2 = -45

Divide each side by '-13'.
a2 = 3.461538462

Simplifying
a2 = 3.461538462

Take the square root of each side:
a = {-1.860521019, 1.860521019}