(5m+2)(3m-3)=

Solution for (5m+2)(3m-3)= equation:

Simplifying
(5m + 2)(3m + -3) = 0

Reorder the terms:
(2 + 5m)(3m + -3) = 0

Reorder the terms:
(2 + 5m)(-3 + 3m) = 0

Multiply (2 + 5m) * (-3 + 3m)
(2(-3 + 3m) + 5m * (-3 + 3m)) = 0
((-3 * 2 + 3m * 2) + 5m * (-3 + 3m)) = 0
((-6 + 6m) + 5m * (-3 + 3m)) = 0
(-6 + 6m + (-3 * 5m + 3m * 5m)) = 0
(-6 + 6m + (-15m + 15m2)) = 0

Combine like terms: 6m + -15m = -9m
(-6 + -9m + 15m2) = 0

Solving
-6 + -9m + 15m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -3m + 5m2) = 0

Factor a trinomial.
3((-2 + -5m)(1 + -1m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -5m)' equal to zero and attempt to solve:

Simplifying
-2 + -5m = 0

Solving
-2 + -5m = 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 + -5m = 0 + 2

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

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

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

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

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

Simplifying
m = 1
Solution
m = {-0.4, 1}