(7x+4)(7x+4)=36

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Solution for (7x+4)(7x+4)=36 equation: 


Simplifying
(7x + 4)(7x + 4) = 36

Reorder the terms:
(4 + 7x)(7x + 4) = 36

Reorder the terms:
(4 + 7x)(4 + 7x) = 36

Multiply (4 + 7x) * (4 + 7x)
(4(4 + 7x) + 7x * (4 + 7x)) = 36
((4 * 4 + 7x * 4) + 7x * (4 + 7x)) = 36
((16 + 28x) + 7x * (4 + 7x)) = 36
(16 + 28x + (4 * 7x + 7x * 7x)) = 36
(16 + 28x + (28x + 49x2)) = 36

Combine like terms: 28x + 28x = 56x
(16 + 56x + 49x2) = 36

Solving
16 + 56x + 49x2 = 36

Solving for variable 'x'.

Reorder the terms:
16 + -36 + 56x + 49x2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + 56x + 49x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + 56x + 49x2 = 0

Factor a trinomial.
(-10 + -7x)(2 + -7x) = 0


Subproblem 1
Set the factor '(-10 + -7x)' equal to zero and attempt to solve:

Simplifying
-10 + -7x = 0

Solving
-10 + -7x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -7x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = 0 + 10
-7x = 0 + 10

Combine like terms: 0 + 10 = 10
-7x = 10

Divide each side by '-7'.
x = -1.428571429

Simplifying
x = -1.428571429

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

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

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

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

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-1.428571429, 0.2857142857}

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