5x-3+7x*3x=23

Solution for 5x-3+7x*3x=23 equation:

Simplifying
5x + -3 + 7x * 3x = 23

Reorder the terms for easier multiplication:
5x + -3 + 7 * 3x * x = 23

Multiply 7 * 3
5x + -3 + 21x * x = 23

Multiply x * x
5x + -3 + 21x2 = 23

Reorder the terms:
-3 + 5x + 21x2 = 23

Solving
-3 + 5x + 21x2 = 23

Solving for variable 'x'.

Reorder the terms:
-3 + -23 + 5x + 21x2 = 23 + -23

Combine like terms: -3 + -23 = -26
-26 + 5x + 21x2 = 23 + -23

Combine like terms: 23 + -23 = 0
-26 + 5x + 21x2 = 0

Factor a trinomial.
(-26 + -21x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -21x)' equal to zero and attempt to solve:

Simplifying
-26 + -21x = 0

Solving
-26 + -21x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -21x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -21x = 0 + 26
-21x = 0 + 26

Combine like terms: 0 + 26 = 26
-21x = 26

Divide each side by '-21'.
x = -1.238095238

Simplifying
x = -1.238095238
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-1.238095238, 1}