(x+3)*(x+5)=35

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Solution for (x+3)*(x+5)=35 equation: 


Simplifying
(x + 3)(x + 5) = 35

Reorder the terms:
(3 + x)(x + 5) = 35

Reorder the terms:
(3 + x)(5 + x) = 35

Multiply (3 + x) * (5 + x)
(3(5 + x) + x(5 + x)) = 35
((5 * 3 + x * 3) + x(5 + x)) = 35
((15 + 3x) + x(5 + x)) = 35
(15 + 3x + (5 * x + x * x)) = 35
(15 + 3x + (5x + x2)) = 35

Combine like terms: 3x + 5x = 8x
(15 + 8x + x2) = 35

Solving
15 + 8x + x2 = 35

Solving for variable 'x'.

Reorder the terms:
15 + -35 + 8x + x2 = 35 + -35

Combine like terms: 15 + -35 = -20
-20 + 8x + x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-20 + 8x + x2 = 0

Factor a trinomial.
(-10 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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 = {-10, 2}

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