(5x-1)(2x+6)=

Solution for (5x-1)(2x+6)= equation:

Simplifying
(5x + -1)(2x + 6) = 0

Reorder the terms:
(-1 + 5x)(2x + 6) = 0

Reorder the terms:
(-1 + 5x)(6 + 2x) = 0

Multiply (-1 + 5x) * (6 + 2x)
(-1(6 + 2x) + 5x * (6 + 2x)) = 0
((6 * -1 + 2x * -1) + 5x * (6 + 2x)) = 0
((-6 + -2x) + 5x * (6 + 2x)) = 0
(-6 + -2x + (6 * 5x + 2x * 5x)) = 0
(-6 + -2x + (30x + 10x2)) = 0

Combine like terms: -2x + 30x = 28x
(-6 + 28x + 10x2) = 0

Solving
-6 + 28x + 10x2 = 0

Solving for variable 'x'.

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

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

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = -3

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {-3, 0.2}