(x+5)(x+3)=5x+25

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Solution for (x+5)(x+3)=5x+25 equation: 


Simplifying
(x + 5)(x + 3) = 5x + 25

Reorder the terms:
(5 + x)(x + 3) = 5x + 25

Reorder the terms:
(5 + x)(3 + x) = 5x + 25

Multiply (5 + x) * (3 + x)
(5(3 + x) + x(3 + x)) = 5x + 25
((3 * 5 + x * 5) + x(3 + x)) = 5x + 25
((15 + 5x) + x(3 + x)) = 5x + 25
(15 + 5x + (3 * x + x * x)) = 5x + 25
(15 + 5x + (3x + x2)) = 5x + 25

Combine like terms: 5x + 3x = 8x
(15 + 8x + x2) = 5x + 25

Reorder the terms:
15 + 8x + x2 = 25 + 5x

Solving
15 + 8x + x2 = 25 + 5x

Solving for variable 'x'.

Reorder the terms:
15 + -25 + 8x + -5x + x2 = 25 + 5x + -25 + -5x

Combine like terms: 15 + -25 = -10
-10 + 8x + -5x + x2 = 25 + 5x + -25 + -5x

Combine like terms: 8x + -5x = 3x
-10 + 3x + x2 = 25 + 5x + -25 + -5x

Reorder the terms:
-10 + 3x + x2 = 25 + -25 + 5x + -5x

Combine like terms: 25 + -25 = 0
-10 + 3x + x2 = 0 + 5x + -5x
-10 + 3x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 3x + x2 = 0

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


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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

Simplifying
2 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-5, 2}

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