2x^2+2x+40=(x+5)(x+5)

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Solution for 2x^2+2x+40=(x+5)(x+5) equation: 


Simplifying
2x2 + 2x + 40 = (x + 5)(x + 5)

Reorder the terms:
40 + 2x + 2x2 = (x + 5)(x + 5)

Reorder the terms:
40 + 2x + 2x2 = (5 + x)(x + 5)

Reorder the terms:
40 + 2x + 2x2 = (5 + x)(5 + x)

Multiply (5 + x) * (5 + x)
40 + 2x + 2x2 = (5(5 + x) + x(5 + x))
40 + 2x + 2x2 = ((5 * 5 + x * 5) + x(5 + x))
40 + 2x + 2x2 = ((25 + 5x) + x(5 + x))
40 + 2x + 2x2 = (25 + 5x + (5 * x + x * x))
40 + 2x + 2x2 = (25 + 5x + (5x + x2))

Combine like terms: 5x + 5x = 10x
40 + 2x + 2x2 = (25 + 10x + x2)

Solving
40 + 2x + 2x2 = 25 + 10x + x2

Solving for variable 'x'.

Reorder the terms:
40 + -25 + 2x + -10x + 2x2 + -1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Combine like terms: 40 + -25 = 15
15 + 2x + -10x + 2x2 + -1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Combine like terms: 2x + -10x = -8x
15 + -8x + 2x2 + -1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
15 + -8x + 1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Reorder the terms:
15 + -8x + 1x2 = 25 + -25 + 10x + -10x + x2 + -1x2

Combine like terms: 25 + -25 = 0
15 + -8x + 1x2 = 0 + 10x + -10x + x2 + -1x2
15 + -8x + 1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
15 + -8x + 1x2 = 0 + x2 + -1x2
15 + -8x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + -8x + 1x2 = 0

Factor a trinomial.
(3 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
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
Solution
x = {3, 5}

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