(2x+4)2x-45=0

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Solution for (2x+4)2x-45=0 equation: 


Simplifying
(2x + 4) * 2x + -45 = 0

Reorder the terms:
(4 + 2x) * 2x + -45 = 0

Reorder the terms for easier multiplication:
2x(4 + 2x) + -45 = 0
(4 * 2x + 2x * 2x) + -45 = 0
(8x + 4x2) + -45 = 0

Reorder the terms:
-45 + 8x + 4x2 = 0

Solving
-45 + 8x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-4.5, 2.5}

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