2a^2+4=7a^2

Solution for 2a^2+4=7a^2 equation:

Simplifying
2a2 + 4 = 7a2

Reorder the terms:
4 + 2a2 = 7a2

Solving
4 + 2a2 = 7a2

Solving for variable 'a'.

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

Add '-7a2' to each side of the equation.
4 + 2a2 + -7a2 = 7a2 + -7a2

Combine like terms: 2a2 + -7a2 = -5a2
4 + -5a2 = 7a2 + -7a2

Combine like terms: 7a2 + -7a2 = 0
4 + -5a2 = 0

Add '-4' to each side of the equation.
4 + -4 + -5a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5a2 = 0 + -4
-5a2 = 0 + -4

Combine like terms: 0 + -4 = -4
-5a2 = -4

Divide each side by '-5'.
a2 = 0.8

Simplifying
a2 = 0.8

Take the square root of each side:
a = {-0.894427191, 0.894427191}