7x*(x-3)+3-x=0

Solution for 7x*(x-3)+3-x=0 equation:

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

Reorder the terms:
7x(-3 + x) + 3 + -1x = 0
(-3 * 7x + x * 7x) + 3 + -1x = 0
(-21x + 7x2) + 3 + -1x = 0

Reorder the terms:
3 + -21x + -1x + 7x2 = 0

Combine like terms: -21x + -1x = -22x
3 + -22x + 7x2 = 0

Solving
3 + -22x + 7x2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.1428571429, 3}