2.4x^2-5.1=12.7

Solution for 2.4x^2-5.1=12.7 equation:

Simplifying
2.4x2 + -5.1 = 12.7

Reorder the terms:
-5.1 + 2.4x2 = 12.7

Solving
-5.1 + 2.4x2 = 12.7

Solving for variable 'x'.

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

Add '5.1' to each side of the equation.
-5.1 + 5.1 + 2.4x2 = 12.7 + 5.1

Combine like terms: -5.1 + 5.1 = 0.0
0.0 + 2.4x2 = 12.7 + 5.1
2.4x2 = 12.7 + 5.1

Combine like terms: 12.7 + 5.1 = 17.8
2.4x2 = 17.8

Divide each side by '2.4'.
x2 = 7.416666667

Simplifying
x2 = 7.416666667

Take the square root of each side:
x = {-2.723355773, 2.723355773}