(X+2)(10X-12)=0

Solution for (X+2)(10X-12)=0 equation:

Simplifying
(X + 2)(10X + -12) = 0

Reorder the terms:
(2 + X)(10X + -12) = 0

Reorder the terms:
(2 + X)(-12 + 10X) = 0

Multiply (2 + X) * (-12 + 10X)
(2(-12 + 10X) + X(-12 + 10X)) = 0
((-12 * 2 + 10X * 2) + X(-12 + 10X)) = 0
((-24 + 20X) + X(-12 + 10X)) = 0
(-24 + 20X + (-12 * X + 10X * X)) = 0
(-24 + 20X + (-12X + 10X2)) = 0

Combine like terms: 20X + -12X = 8X
(-24 + 8X + 10X2) = 0

Solving
-24 + 8X + 10X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 4X + 5X2) = 0

Factor a trinomial.
2((-2 + -1X)(6 + -5X)) = 0

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

Simplifying
-2 + -1X = 0

Solving
-2 + -1X = 0

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

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

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

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

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

Simplifying
X = -2
Subproblem 2
Set the factor '(6 + -5X)' equal to zero and attempt to solve:

Simplifying
6 + -5X = 0

Solving
6 + -5X = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5X = 0 + -6
-5X = 0 + -6

Combine like terms: 0 + -6 = -6
-5X = -6

Divide each side by '-5'.
X = 1.2

Simplifying
X = 1.2
Solution
X = {-2, 1.2}