(2x+4)(2x+4)=9

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Solution for (2x+4)(2x+4)=9 equation: 


Simplifying
(2x + 4)(2x + 4) = 9

Reorder the terms:
(4 + 2x)(2x + 4) = 9

Reorder the terms:
(4 + 2x)(4 + 2x) = 9

Multiply (4 + 2x) * (4 + 2x)
(4(4 + 2x) + 2x * (4 + 2x)) = 9
((4 * 4 + 2x * 4) + 2x * (4 + 2x)) = 9
((16 + 8x) + 2x * (4 + 2x)) = 9
(16 + 8x + (4 * 2x + 2x * 2x)) = 9
(16 + 8x + (8x + 4x2)) = 9

Combine like terms: 8x + 8x = 16x
(16 + 16x + 4x2) = 9

Solving
16 + 16x + 4x2 = 9

Solving for variable 'x'.

Reorder the terms:
16 + -9 + 16x + 4x2 = 9 + -9

Combine like terms: 16 + -9 = 7
7 + 16x + 4x2 = 9 + -9

Combine like terms: 9 + -9 = 0
7 + 16x + 4x2 = 0

Factor a trinomial.
(7 + 2x)(1 + 2x) = 0


Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-3.5, -0.5}

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