(2x+1)(2x+1)=64

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Solution for (2x+1)(2x+1)=64 equation: 


Simplifying
(2x + 1)(2x + 1) = 64

Reorder the terms:
(1 + 2x)(2x + 1) = 64

Reorder the terms:
(1 + 2x)(1 + 2x) = 64

Multiply (1 + 2x) * (1 + 2x)
(1(1 + 2x) + 2x * (1 + 2x)) = 64
((1 * 1 + 2x * 1) + 2x * (1 + 2x)) = 64
((1 + 2x) + 2x * (1 + 2x)) = 64
(1 + 2x + (1 * 2x + 2x * 2x)) = 64
(1 + 2x + (2x + 4x2)) = 64

Combine like terms: 2x + 2x = 4x
(1 + 4x + 4x2) = 64

Solving
1 + 4x + 4x2 = 64

Solving for variable 'x'.

Reorder the terms:
1 + -64 + 4x + 4x2 = 64 + -64

Combine like terms: 1 + -64 = -63
-63 + 4x + 4x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-63 + 4x + 4x2 = 0

Factor a trinomial.
(-9 + -2x)(7 + -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 '(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
Solution
x = {-4.5, 3.5}

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