2x^2+11x+6=(x+6)(x+6)

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Solution for 2x^2+11x+6=(x+6)(x+6) equation: 


Simplifying
2x2 + 11x + 6 = (x + 6)(x + 6)

Reorder the terms:
6 + 11x + 2x2 = (x + 6)(x + 6)

Reorder the terms:
6 + 11x + 2x2 = (6 + x)(x + 6)

Reorder the terms:
6 + 11x + 2x2 = (6 + x)(6 + x)

Multiply (6 + x) * (6 + x)
6 + 11x + 2x2 = (6(6 + x) + x(6 + x))
6 + 11x + 2x2 = ((6 * 6 + x * 6) + x(6 + x))
6 + 11x + 2x2 = ((36 + 6x) + x(6 + x))
6 + 11x + 2x2 = (36 + 6x + (6 * x + x * x))
6 + 11x + 2x2 = (36 + 6x + (6x + x2))

Combine like terms: 6x + 6x = 12x
6 + 11x + 2x2 = (36 + 12x + x2)

Solving
6 + 11x + 2x2 = 36 + 12x + x2

Solving for variable 'x'.

Reorder the terms:
6 + -36 + 11x + -12x + 2x2 + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2

Combine like terms: 6 + -36 = -30
-30 + 11x + -12x + 2x2 + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2

Combine like terms: 11x + -12x = -1x
-30 + -1x + 2x2 + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-30 + -1x + 1x2 = 36 + 12x + x2 + -36 + -12x + -1x2

Reorder the terms:
-30 + -1x + 1x2 = 36 + -36 + 12x + -12x + x2 + -1x2

Combine like terms: 36 + -36 = 0
-30 + -1x + 1x2 = 0 + 12x + -12x + x2 + -1x2
-30 + -1x + 1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-30 + -1x + 1x2 = 0 + x2 + -1x2
-30 + -1x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + -1x + 1x2 = 0

Factor a trinomial.
(-5 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-5, 6}

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