(7x-6)(7x-6)=16

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Solution for (7x-6)(7x-6)=16 equation: 


Simplifying
(7x + -6)(7x + -6) = 16

Reorder the terms:
(-6 + 7x)(7x + -6) = 16

Reorder the terms:
(-6 + 7x)(-6 + 7x) = 16

Multiply (-6 + 7x) * (-6 + 7x)
(-6(-6 + 7x) + 7x * (-6 + 7x)) = 16
((-6 * -6 + 7x * -6) + 7x * (-6 + 7x)) = 16
((36 + -42x) + 7x * (-6 + 7x)) = 16
(36 + -42x + (-6 * 7x + 7x * 7x)) = 16
(36 + -42x + (-42x + 49x2)) = 16

Combine like terms: -42x + -42x = -84x
(36 + -84x + 49x2) = 16

Solving
36 + -84x + 49x2 = 16

Solving for variable 'x'.

Reorder the terms:
36 + -16 + -84x + 49x2 = 16 + -16

Combine like terms: 36 + -16 = 20
20 + -84x + 49x2 = 16 + -16

Combine like terms: 16 + -16 = 0
20 + -84x + 49x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.2857142857, 1.428571429}

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