(2x+25)*(x-1)=0

Solution for (2x+25)*(x-1)=0 equation:

Simplifying
(2x + 25)(x + -1) = 0

Reorder the terms:
(25 + 2x)(x + -1) = 0

Reorder the terms:
(25 + 2x)(-1 + x) = 0

Multiply (25 + 2x) * (-1 + x)
(25(-1 + x) + 2x * (-1 + x)) = 0
((-1 * 25 + x * 25) + 2x * (-1 + x)) = 0
((-25 + 25x) + 2x * (-1 + x)) = 0
(-25 + 25x + (-1 * 2x + x * 2x)) = 0
(-25 + 25x + (-2x + 2x2)) = 0

Combine like terms: 25x + -2x = 23x
(-25 + 23x + 2x2) = 0

Solving
-25 + 23x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-25 + -2x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve:

Simplifying
-25 + -2x = 0

Solving
-25 + -2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2x = 0 + 25
-2x = 0 + 25

Combine like terms: 0 + 25 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5
Subproblem 2
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
Solution
x = {-12.5, 1}