(x+5)(x-5x+25)=

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Solution for (x+5)(x-5x+25)= equation:


Simplifying
(x + 5)(x + -5x + 25) = 0

Reorder the terms:
(5 + x)(x + -5x + 25) = 0

Reorder the terms:
(5 + x)(25 + x + -5x) = 0

Combine like terms: x + -5x = -4x
(5 + x)(25 + -4x) = 0

Multiply (5 + x) * (25 + -4x)
(5(25 + -4x) + x(25 + -4x)) = 0
((25 * 5 + -4x * 5) + x(25 + -4x)) = 0
((125 + -20x) + x(25 + -4x)) = 0
(125 + -20x + (25 * x + -4x * x)) = 0
(125 + -20x + (25x + -4x2)) = 0

Combine like terms: -20x + 25x = 5x
(125 + 5x + -4x2) = 0

Solving
125 + 5x + -4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + -4x)(5 + x) = 0


Subproblem 1
Set the factor '(25 + -4x)' equal to zero and attempt to solve:

Simplifying
25 + -4x = 0

Solving
25 + -4x = 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 + -4x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = 0 + -25
-4x = 0 + -25

Combine like terms: 0 + -25 = -25
-4x = -25

Divide each side by '-4'.
x = 6.25

Simplifying
x = 6.25

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {6.25, -5}

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