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

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

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

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

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

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

Combine like terms: 10x + -5x = 5x
(-5 + 5x + 10x2) = 0

Solving
-5 + 5x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + x + 2x2) = 0

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

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

Simplifying
-1 + -1x = 0

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

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

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

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

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-1, 0.5}