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

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


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

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

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

Combine like terms: x + -2x = -1x
(5 + 2x)(1 + -1x) = 0

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

Combine like terms: -5x + 2x = -3x
(5 + -3x + -2x2) = 0

Solving
5 + -3x + -2x2 = 0

Solving for variable 'x'.

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


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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {1, -2.5}

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