2x^2+16x+33=(x+5)(x+5)

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Solution for 2x^2+16x+33=(x+5)(x+5) equation: 


Simplifying
2x2 + 16x + 33 = (x + 5)(x + 5)

Reorder the terms:
33 + 16x + 2x2 = (x + 5)(x + 5)

Reorder the terms:
33 + 16x + 2x2 = (5 + x)(x + 5)

Reorder the terms:
33 + 16x + 2x2 = (5 + x)(5 + x)

Multiply (5 + x) * (5 + x)
33 + 16x + 2x2 = (5(5 + x) + x(5 + x))
33 + 16x + 2x2 = ((5 * 5 + x * 5) + x(5 + x))
33 + 16x + 2x2 = ((25 + 5x) + x(5 + x))
33 + 16x + 2x2 = (25 + 5x + (5 * x + x * x))
33 + 16x + 2x2 = (25 + 5x + (5x + x2))

Combine like terms: 5x + 5x = 10x
33 + 16x + 2x2 = (25 + 10x + x2)

Solving
33 + 16x + 2x2 = 25 + 10x + x2

Solving for variable 'x'.

Reorder the terms:
33 + -25 + 16x + -10x + 2x2 + -1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Combine like terms: 33 + -25 = 8
8 + 16x + -10x + 2x2 + -1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Combine like terms: 16x + -10x = 6x
8 + 6x + 2x2 + -1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
8 + 6x + 1x2 = 25 + 10x + x2 + -25 + -10x + -1x2

Reorder the terms:
8 + 6x + 1x2 = 25 + -25 + 10x + -10x + x2 + -1x2

Combine like terms: 25 + -25 = 0
8 + 6x + 1x2 = 0 + 10x + -10x + x2 + -1x2
8 + 6x + 1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
8 + 6x + 1x2 = 0 + x2 + -1x2
8 + 6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 6x + 1x2 = 0

Factor a trinomial.
(4 + x)(2 + x) = 0


Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {-4, -2}

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