4q^2-3q=3q-6q+10

Solution for 4q^2-3q=3q-6q+10 equation:

Simplifying
4q2 + -3q = 3q + -6q + 10

Reorder the terms:
-3q + 4q2 = 3q + -6q + 10

Reorder the terms:
-3q + 4q2 = 10 + 3q + -6q

Combine like terms: 3q + -6q = -3q
-3q + 4q2 = 10 + -3q

Add '3q' to each side of the equation.
-3q + 3q + 4q2 = 10 + -3q + 3q

Combine like terms: -3q + 3q = 0
0 + 4q2 = 10 + -3q + 3q
4q2 = 10 + -3q + 3q

Combine like terms: -3q + 3q = 0
4q2 = 10 + 0
4q2 = 10

Solving
4q2 = 10

Solving for variable 'q'.

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

Divide each side by '4'.
q2 = 2.5

Simplifying
q2 = 2.5

Take the square root of each side:
q = {-1.58113883, 1.58113883}