4x^2-17x+27=3x+6

Simple and best practice solution for 4x^2-17x+27=3x+6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x^2-17x+27=3x+6 equation: 


Simplifying
4x2 + -17x + 27 = 3x + 6

Reorder the terms:
27 + -17x + 4x2 = 3x + 6

Reorder the terms:
27 + -17x + 4x2 = 6 + 3x

Solving
27 + -17x + 4x2 = 6 + 3x

Solving for variable 'x'.

Reorder the terms:
27 + -6 + -17x + -3x + 4x2 = 6 + 3x + -6 + -3x

Combine like terms: 27 + -6 = 21
21 + -17x + -3x + 4x2 = 6 + 3x + -6 + -3x

Combine like terms: -17x + -3x = -20x
21 + -20x + 4x2 = 6 + 3x + -6 + -3x

Reorder the terms:
21 + -20x + 4x2 = 6 + -6 + 3x + -3x

Combine like terms: 6 + -6 = 0
21 + -20x + 4x2 = 0 + 3x + -3x
21 + -20x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -20x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(7 + -2x) = 0


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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {1.5, 3.5}

See similar equations:

| (8x-4)-8x=(10x+6)-8x | | z^2+z-72=0 | | 6x^2-41x-7=0 | | x^2-8x-19=-6x-4 | | 4x+9=10x+6 | | x^2-10x+24=0 | | x^2-5x-14=10 | | x^2+7x-8=0 | | x^2-5x-24=0 | | x^2+10x+9=0 | | x^2-2x-5=-4x+3 | | x^2-5x+6=0 | | x^2+11x+30=6 | | 4b(2b+5)=0 | | 34x^3-x=720x | | 29=2m-9 | | 3x^2-15x=0 | | 10x-2x= | | 12(n-3)+4(n-13)= | | 10x-2=-12 | | 6x+4=2x+10 | | x+17=25 | | 5+3x=5x-19 | | x+19=26 | | x-12=-5 | | x-17=-5 | | m-3.6=0.45 | | 4.2=1.7+y | | 8x-1=12x+3 | | 4-2y=4y | | -8-15y=10 | | -3-8z=33 |

Equations solver categories