(2q-1)(5q+2)=

Solution for (2q-1)(5q+2)= equation:

Simplifying
(2q + -1)(5q + 2) = 0

Reorder the terms:
(-1 + 2q)(5q + 2) = 0

Reorder the terms:
(-1 + 2q)(2 + 5q) = 0

Multiply (-1 + 2q) * (2 + 5q)
(-1(2 + 5q) + 2q * (2 + 5q)) = 0
((2 * -1 + 5q * -1) + 2q * (2 + 5q)) = 0
((-2 + -5q) + 2q * (2 + 5q)) = 0
(-2 + -5q + (2 * 2q + 5q * 2q)) = 0
(-2 + -5q + (4q + 10q2)) = 0

Combine like terms: -5q + 4q = -1q
(-2 + -1q + 10q2) = 0

Solving
-2 + -1q + 10q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-2 + -5q)(1 + -2q) = 0

Subproblem 1
Set the factor '(-2 + -5q)' equal to zero and attempt to solve:

Simplifying
-2 + -5q = 0

Solving
-2 + -5q = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5q = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5q = 0 + 2
-5q = 0 + 2

Combine like terms: 0 + 2 = 2
-5q = 2

Divide each side by '-5'.
q = -0.4

Simplifying
q = -0.4
Subproblem 2
Set the factor '(1 + -2q)' equal to zero and attempt to solve:

Simplifying
1 + -2q = 0

Solving
1 + -2q = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2q = 0 + -1
-2q = 0 + -1

Combine like terms: 0 + -1 = -1
-2q = -1

Divide each side by '-2'.
q = 0.5

Simplifying
q = 0.5
Solution
q = {-0.4, 0.5}