(3x-7)(x-7)=192

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Solution for (3x-7)(x-7)=192 equation: 


Simplifying
(3x + -7)(x + -7) = 192

Reorder the terms:
(-7 + 3x)(x + -7) = 192

Reorder the terms:
(-7 + 3x)(-7 + x) = 192

Multiply (-7 + 3x) * (-7 + x)
(-7(-7 + x) + 3x * (-7 + x)) = 192
((-7 * -7 + x * -7) + 3x * (-7 + x)) = 192
((49 + -7x) + 3x * (-7 + x)) = 192
(49 + -7x + (-7 * 3x + x * 3x)) = 192
(49 + -7x + (-21x + 3x2)) = 192

Combine like terms: -7x + -21x = -28x
(49 + -28x + 3x2) = 192

Solving
49 + -28x + 3x2 = 192

Solving for variable 'x'.

Reorder the terms:
49 + -192 + -28x + 3x2 = 192 + -192

Combine like terms: 49 + -192 = -143
-143 + -28x + 3x2 = 192 + -192

Combine like terms: 192 + -192 = 0
-143 + -28x + 3x2 = 0

Factor a trinomial.
(-11 + -3x)(13 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 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 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-3.666666667, 13}

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