4q^2-6q-4q^2+6q=4q^2-9

Solution for 4q^2-6q-4q^2+6q=4q^2-9 equation:

Simplifying
4q2 + -6q + -4q2 + 6q = 4q2 + -9

Reorder the terms:
-6q + 6q + 4q2 + -4q2 = 4q2 + -9

Combine like terms: -6q + 6q = 0
0 + 4q2 + -4q2 = 4q2 + -9
4q2 + -4q2 = 4q2 + -9

Combine like terms: 4q2 + -4q2 = 0
0 = 4q2 + -9

Reorder the terms:
0 = -9 + 4q2

Solving
0 = -9 + 4q2

Solving for variable 'q'.

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

Add '-4q2' to each side of the equation.
0 + -4q2 = -9 + 4q2 + -4q2
Remove the zero:
-4q2 = -9 + 4q2 + -4q2

Combine like terms: 4q2 + -4q2 = 0
-4q2 = -9 + 0
-4q2 = -9

Divide each side by '-4'.
q2 = 2.25

Simplifying
q2 = 2.25

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