2x^2+11x+39=(x+7)(x+7)

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Solution for 2x^2+11x+39=(x+7)(x+7) equation: 


Simplifying
2x2 + 11x + 39 = (x + 7)(x + 7)

Reorder the terms:
39 + 11x + 2x2 = (x + 7)(x + 7)

Reorder the terms:
39 + 11x + 2x2 = (7 + x)(x + 7)

Reorder the terms:
39 + 11x + 2x2 = (7 + x)(7 + x)

Multiply (7 + x) * (7 + x)
39 + 11x + 2x2 = (7(7 + x) + x(7 + x))
39 + 11x + 2x2 = ((7 * 7 + x * 7) + x(7 + x))
39 + 11x + 2x2 = ((49 + 7x) + x(7 + x))
39 + 11x + 2x2 = (49 + 7x + (7 * x + x * x))
39 + 11x + 2x2 = (49 + 7x + (7x + x2))

Combine like terms: 7x + 7x = 14x
39 + 11x + 2x2 = (49 + 14x + x2)

Solving
39 + 11x + 2x2 = 49 + 14x + x2

Solving for variable 'x'.

Reorder the terms:
39 + -49 + 11x + -14x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 39 + -49 = -10
-10 + 11x + -14x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 11x + -14x = -3x
-10 + -3x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-10 + -3x + 1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Reorder the terms:
-10 + -3x + 1x2 = 49 + -49 + 14x + -14x + x2 + -1x2

Combine like terms: 49 + -49 = 0
-10 + -3x + 1x2 = 0 + 14x + -14x + x2 + -1x2
-10 + -3x + 1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
-10 + -3x + 1x2 = 0 + x2 + -1x2
-10 + -3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3x + 1x2 = 0

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


Subproblem 1
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

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 = {-2, 5}

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