2(3x-1)(x+5)=

Solution for 2(3x-1)(x+5)= equation:

Simplifying
2(3x + -1)(x + 5) = 0

Reorder the terms:
2(-1 + 3x)(x + 5) = 0

Reorder the terms:
2(-1 + 3x)(5 + x) = 0

Multiply (-1 + 3x) * (5 + x)
2(-1(5 + x) + 3x * (5 + x)) = 0
2((5 * -1 + x * -1) + 3x * (5 + x)) = 0
2((-5 + -1x) + 3x * (5 + x)) = 0
2(-5 + -1x + (5 * 3x + x * 3x)) = 0
2(-5 + -1x + (15x + 3x2)) = 0

Combine like terms: -1x + 15x = 14x
2(-5 + 14x + 3x2) = 0
(-5 * 2 + 14x * 2 + 3x2 * 2) = 0
(-10 + 28x + 6x2) = 0

Solving
-10 + 28x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 14x + 3x2) = 0

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

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-5, 0.3333333333}