-4x^2+3=-6

Solution for -4x^2+3=-6 equation:

Simplifying
-4x2 + 3 = -6

Reorder the terms:
3 + -4x2 = -6

Solving
3 + -4x2 = -6

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -4x2 = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -4x2 = -6 + -3
-4x2 = -6 + -3

Combine like terms: -6 + -3 = -9
-4x2 = -9

Divide each side by '-4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}