4x^2-39+90=684

Solution for 4x^2-39+90=684 equation:

Simplifying
4x2 + -39 + 90 = 684

Reorder the terms:
-39 + 90 + 4x2 = 684

Combine like terms: -39 + 90 = 51
51 + 4x2 = 684

Solving
51 + 4x2 = 684

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + 4x2 = 684 + -51

Combine like terms: 51 + -51 = 0
0 + 4x2 = 684 + -51
4x2 = 684 + -51

Combine like terms: 684 + -51 = 633
4x2 = 633

Divide each side by '4'.
x2 = 158.25

Simplifying
x2 = 158.25

Take the square root of each side:
x = {-12.579745625, 12.579745625}