5x^2-75x+80=0

Simple and best practice solution for 5x^2-75x+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 5x^2-75x+80=0 equation: 


Simplifying
5x2 + -75x + 80 = 0

Reorder the terms:
80 + -75x + 5x2 = 0

Solving
80 + -75x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(16 + -15x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(16 + -15x + x2)' equal to zero and attempt to solve:

Simplifying
16 + -15x + x2 = 0

Solving
16 + -15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -15x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -15x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -15x + x2 = 0 + -16
-15x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-15x + x2 = -16

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = -16 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -16 + 56.25

Combine like terms: -16 + 56.25 = 40.25
56.25 + -15x + x2 = 40.25

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = 40.25

Calculate the square root of the right side: 6.34428877

Break this problem into two subproblems by setting 
(x + -7.5) equal to 6.34428877 and -6.34428877.


Subproblem 1
x + -7.5 = 6.34428877

Simplifying
x + -7.5 = 6.34428877

Reorder the terms:
-7.5 + x = 6.34428877

Solving
-7.5 + x = 6.34428877

Solving for variable 'x'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + x = 6.34428877 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + x = 6.34428877 + 7.5
x = 6.34428877 + 7.5

Combine like terms: 6.34428877 + 7.5 = 13.84428877
x = 13.84428877

Simplifying
x = 13.84428877


Subproblem 2
x + -7.5 = -6.34428877

Simplifying
x + -7.5 = -6.34428877

Reorder the terms:
-7.5 + x = -6.34428877

Solving
-7.5 + x = -6.34428877

Solving for variable 'x'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + x = -6.34428877 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + x = -6.34428877 + 7.5
x = -6.34428877 + 7.5

Combine like terms: -6.34428877 + 7.5 = 1.15571123
x = 1.15571123

Simplifying
x = 1.15571123


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.84428877, 1.15571123}
Solution
x = {13.84428877, 1.15571123}

See similar equations:

| 5x-1=3(2x+2) | | 3/-3=33 | | 10(2x+1)=4x | | X+0(-4)=-8 | | 10(2x-1)=4x | | -3/-3=33 | | 2x+(-1)y=-4 | | 6x^2=3x-2/4 | | x^2+72=241 | | Y/-3= | | -4(x+5)=4x-20 | | 350+61-25=x | | 10x+8y=86 | | -2-3x=-x+4 | | 61-350-25=x | | 0=6-4x^2 | | 2x+-1y=-4 | | 7r=4r | | (390-x/10)=11 | | 3x+12y+9= | | 6(16)-7+8y+17=180 | | d/-3=14 | | 4(2x-11)=3(5ax+b) | | 60+350-20=x | | 390-x/10=11 | | 2x+0y=-4 | | 10x-19=-7 | | 390-×/10=11 | | 2x+51=79 | | 7c=-91 | | -5-3x=2-2x | | b+15=72 |

Equations solver categories