x^2+3(3)-x=29

Solution for x^2+3(3)-x=29 equation:

Simplifying
x2 + 3(3) + -1x = 29

Multiply 3 * 3
x2 + 9 + -1x = 29

Reorder the terms:
9 + -1x + x2 = 29

Solving
9 + -1x + x2 = 29

Solving for variable 'x'.

Reorder the terms:
9 + -29 + -1x + x2 = 29 + -29

Combine like terms: 9 + -29 = -20
-20 + -1x + x2 = 29 + -29

Combine like terms: 29 + -29 = 0
-20 + -1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-4, 5}