3x^2-14-24=0

Solution for 3x^2-14-24=0 equation:

Simplifying
3x2 + -14 + -24 = 0

Reorder the terms:
-14 + -24 + 3x2 = 0

Combine like terms: -14 + -24 = -38
-38 + 3x2 = 0

Solving
-38 + 3x2 = 0

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 3x2 = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 3x2 = 0 + 38
3x2 = 0 + 38

Combine like terms: 0 + 38 = 38
3x2 = 38

Divide each side by '3'.
x2 = 12.66666667

Simplifying
x2 = 12.66666667

Take the square root of each side:
x = {-3.559026084, 3.559026084}