1=4.9x^2

Solution for 1=4.9x^2 equation:

Simplifying
1 = 4.9x2

Solving
1 = 4.9x2

Solving for variable 'x'.

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

Add '-4.9x2' to each side of the equation.
1 + -4.9x2 = 4.9x2 + -4.9x2

Combine like terms: 4.9x2 + -4.9x2 = 0.0
1 + -4.9x2 = 0.0

Add '-1' to each side of the equation.
1 + -1 + -4.9x2 = 0.0 + -1

Combine like terms: 1 + -1 = 0
0 + -4.9x2 = 0.0 + -1
-4.9x2 = 0.0 + -1

Combine like terms: 0.0 + -1 = -1
-4.9x2 = -1

Divide each side by '-4.9'.
x2 = 0.2040816327

Simplifying
x2 = 0.2040816327

Take the square root of each side:
x = {-0.451753952, 0.451753952}