(7x+2)(7x+2)=36

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Solution for (7x+2)(7x+2)=36 equation: 


Simplifying
(7x + 2)(7x + 2) = 36

Reorder the terms:
(2 + 7x)(7x + 2) = 36

Reorder the terms:
(2 + 7x)(2 + 7x) = 36

Multiply (2 + 7x) * (2 + 7x)
(2(2 + 7x) + 7x * (2 + 7x)) = 36
((2 * 2 + 7x * 2) + 7x * (2 + 7x)) = 36
((4 + 14x) + 7x * (2 + 7x)) = 36
(4 + 14x + (2 * 7x + 7x * 7x)) = 36
(4 + 14x + (14x + 49x2)) = 36

Combine like terms: 14x + 14x = 28x
(4 + 28x + 49x2) = 36

Solving
4 + 28x + 49x2 = 36

Solving for variable 'x'.

Reorder the terms:
4 + -36 + 28x + 49x2 = 36 + -36

Combine like terms: 4 + -36 = -32
-32 + 28x + 49x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-32 + 28x + 49x2 = 0

Factor a trinomial.
(-8 + -7x)(4 + -7x) = 0


Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {-1.142857143, 0.5714285714}

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