4q^2-5q=3q-8q+10

Solution for 4q^2-5q=3q-8q+10 equation:

Simplifying
4q2 + -5q = 3q + -8q + 10

Reorder the terms:
-5q + 4q2 = 3q + -8q + 10

Reorder the terms:
-5q + 4q2 = 10 + 3q + -8q

Combine like terms: 3q + -8q = -5q
-5q + 4q2 = 10 + -5q

Add '5q' to each side of the equation.
-5q + 5q + 4q2 = 10 + -5q + 5q

Combine like terms: -5q + 5q = 0
0 + 4q2 = 10 + -5q + 5q
4q2 = 10 + -5q + 5q

Combine like terms: -5q + 5q = 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}