4x^2-6=-5

Solution for 4x^2-6=-5 equation:

Simplifying
4x2 + -6 = -5

Reorder the terms:
-6 + 4x2 = -5

Solving
-6 + 4x2 = -5

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x2 = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 4x2 = -5 + 6
4x2 = -5 + 6

Combine like terms: -5 + 6 = 1
4x2 = 1

Divide each side by '4'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}