(1-3x)(9x-7)=0

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Solution for (1-3x)(9x-7)=0 equation: 


Simplifying
(1 + -3x)(9x + -7) = 0

Reorder the terms:
(1 + -3x)(-7 + 9x) = 0

Multiply (1 + -3x) * (-7 + 9x)
(1(-7 + 9x) + -3x * (-7 + 9x)) = 0
((-7 * 1 + 9x * 1) + -3x * (-7 + 9x)) = 0
((-7 + 9x) + -3x * (-7 + 9x)) = 0
(-7 + 9x + (-7 * -3x + 9x * -3x)) = 0
(-7 + 9x + (21x + -27x2)) = 0

Combine like terms: 9x + 21x = 30x
(-7 + 30x + -27x2) = 0

Solving
-7 + 30x + -27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 9x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-7 + 9x)' equal to zero and attempt to solve:

Simplifying
-7 + 9x = 0

Solving
-7 + 9x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 9x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 0 + 7
9x = 0 + 7

Combine like terms: 0 + 7 = 7
9x = 7

Divide each side by '9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0.7777777778, 0.3333333333}

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