7x^2-51x+80=0

Simple and best practice solution for 7x^2-51x+80=0 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 7x^2-51x+80=0 equation: 


Simplifying
7x2 + -51x + 80 = 0

Reorder the terms:
80 + -51x + 7x2 = 0

Solving
80 + -51x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + -7x)(5 + -1x) = 0


Subproblem 1
Set the factor '(16 + -7x)' equal to zero and attempt to solve:

Simplifying
16 + -7x = 0

Solving
16 + -7x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -7x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 0 + -16
-7x = 0 + -16

Combine like terms: 0 + -16 = -16
-7x = -16

Divide each side by '-7'.
x = 2.285714286

Simplifying
x = 2.285714286

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 = {2.285714286, 5}

See similar equations:

| 2+6w=20 | | 9=r/5 | | -1+6t=29 | | 0.16666667(5x-9)=7 | | 10+7x=-11 | | 6+x=-5x-42 | | -8+6a=-50 | | 3x-9=2x-6 | | 5d+8=23 | | 2n-9=-21 | | -5k+7=67 | | -25/12+7/8 | | 8+5t=-17 | | 8+7w=85 | | 5+4d=5 | | 17=b+6 | | k+10=22 | | n-2=-14 | | 10+n=21 | | p=.43(100)+14.7 | | d+8=-4 | | b+1=4 | | -3+b=5 | | 3+a=12 | | x+(2x-5)=9 | | -3x+5y=-24 | | -6=m+6 | | t+2=-8 | | 4=n-7 | | a+2=-8 | | -8+k=-4 | | -4x^2-44x-72=0 |

Equations solver categories