(4m+1)(m-2)=

Solution for (4m+1)(m-2)= equation:

Simplifying
(4m + 1)(m + -2) = 0

Reorder the terms:
(1 + 4m)(m + -2) = 0

Reorder the terms:
(1 + 4m)(-2 + m) = 0

Multiply (1 + 4m) * (-2 + m)
(1(-2 + m) + 4m * (-2 + m)) = 0
((-2 * 1 + m * 1) + 4m * (-2 + m)) = 0
((-2 + 1m) + 4m * (-2 + m)) = 0
(-2 + 1m + (-2 * 4m + m * 4m)) = 0
(-2 + 1m + (-8m + 4m2)) = 0

Combine like terms: 1m + -8m = -7m
(-2 + -7m + 4m2) = 0

Solving
-2 + -7m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -4m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-1 + -4m)' equal to zero and attempt to solve:

Simplifying
-1 + -4m = 0

Solving
-1 + -4m = 0

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

Add '1' to each side of the equation.
-1 + 1 + -4m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4m = 0 + 1
-4m = 0 + 1

Combine like terms: 0 + 1 = 1
-4m = 1

Divide each side by '-4'.
m = -0.25

Simplifying
m = -0.25
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-0.25, 2}