(4-7x)*(4-7x)=81

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Solution for (4-7x)*(4-7x)=81 equation: 


Simplifying
(4 + -7x)(4 + -7x) = 81

Multiply (4 + -7x) * (4 + -7x)
(4(4 + -7x) + -7x * (4 + -7x)) = 81
((4 * 4 + -7x * 4) + -7x * (4 + -7x)) = 81
((16 + -28x) + -7x * (4 + -7x)) = 81
(16 + -28x + (4 * -7x + -7x * -7x)) = 81
(16 + -28x + (-28x + 49x2)) = 81

Combine like terms: -28x + -28x = -56x
(16 + -56x + 49x2) = 81

Solving
16 + -56x + 49x2 = 81

Solving for variable 'x'.

Reorder the terms:
16 + -81 + -56x + 49x2 = 81 + -81

Combine like terms: 16 + -81 = -65
-65 + -56x + 49x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-65 + -56x + 49x2 = 0

Factor a trinomial.
(-5 + -7x)(13 + -7x) = 0


Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve:

Simplifying
-5 + -7x = 0

Solving
-5 + -7x = 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 + -7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 0 + 5
-7x = 0 + 5

Combine like terms: 0 + 5 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

Subproblem 2
Set the factor '(13 + -7x)' equal to zero and attempt to solve:

Simplifying
13 + -7x = 0

Solving
13 + -7x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -7x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = 0 + -13
-7x = 0 + -13

Combine like terms: 0 + -13 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857
Solution
x = {-0.7142857143, 1.857142857}

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