49x^2-9=27

Solution for 49x^2-9=27 equation:

Simplifying
49x2 + -9 = 27

Reorder the terms:
-9 + 49x2 = 27

Solving
-9 + 49x2 = 27

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 49x2 = 27 + 9

Combine like terms: -9 + 9 = 0
0 + 49x2 = 27 + 9
49x2 = 27 + 9

Combine like terms: 27 + 9 = 36
49x2 = 36

Divide each side by '49'.
x2 = 0.7346938776

Simplifying
x2 = 0.7346938776

Take the square root of each side:
x = {-0.857142857, 0.857142857}