4x^2-29x+33=-8x+6

Solution for 4x^2-29x+33=-8x+6 equation:

Simplifying
4x2 + -29x + 33 = -8x + 6

Reorder the terms:
33 + -29x + 4x2 = -8x + 6

Reorder the terms:
33 + -29x + 4x2 = 6 + -8x

Solving
33 + -29x + 4x2 = 6 + -8x

Solving for variable 'x'.

Reorder the terms:
33 + -6 + -29x + 8x + 4x2 = 6 + -8x + -6 + 8x

Combine like terms: 33 + -6 = 27
27 + -29x + 8x + 4x2 = 6 + -8x + -6 + 8x

Combine like terms: -29x + 8x = -21x
27 + -21x + 4x2 = 6 + -8x + -6 + 8x

Reorder the terms:
27 + -21x + 4x2 = 6 + -6 + -8x + 8x

Combine like terms: 6 + -6 = 0
27 + -21x + 4x2 = 0 + -8x + 8x
27 + -21x + 4x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
27 + -21x + 4x2 = 0

Factor a trinomial.
(9 + -4x)(3 + -1x) = 0

Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
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 = {2.25, 3}