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

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


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

Reorder the terms:
5x(2 + 5x) + -1(5x + 2) = 0
(2 * 5x + 5x * 5x) + -1(5x + 2) = 0
(10x + 25x2) + -1(5x + 2) = 0

Reorder the terms:
10x + 25x2 + -1(2 + 5x) = 0
10x + 25x2 + (2 * -1 + 5x * -1) = 0
10x + 25x2 + (-2 + -5x) = 0

Reorder the terms:
-2 + 10x + -5x + 25x2 = 0

Combine like terms: 10x + -5x = 5x
-2 + 5x + 25x2 = 0

Solving
-2 + 5x + 25x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-2 + -5x = 0

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

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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 = {-0.4, 0.2}

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