5x^2-90x+375=0

Simple and best practice solution for 5x^2-90x+375=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^2-90x+375=0 equation: 


Simplifying
5x2 + -90x + 375 = 0

Reorder the terms:
375 + -90x + 5x2 = 0

Solving
375 + -90x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(75 + -18x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(75 + -18x + x2)' equal to zero and attempt to solve:

Simplifying
75 + -18x + x2 = 0

Solving
75 + -18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-75' to each side of the equation.
75 + -18x + -75 + x2 = 0 + -75

Reorder the terms:
75 + -75 + -18x + x2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -18x + x2 = 0 + -75
-18x + x2 = 0 + -75

Combine like terms: 0 + -75 = -75
-18x + x2 = -75

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -75 + 81

Reorder the terms:
81 + -18x + x2 = -75 + 81

Combine like terms: -75 + 81 = 6
81 + -18x + x2 = 6

Factor a perfect square on the left side:
(x + -9)(x + -9) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(x + -9) equal to 2.449489743 and -2.449489743.


Subproblem 1
x + -9 = 2.449489743

Simplifying
x + -9 = 2.449489743

Reorder the terms:
-9 + x = 2.449489743

Solving
-9 + x = 2.449489743

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + x = 2.449489743 + 9

Combine like terms: -9 + 9 = 0
0 + x = 2.449489743 + 9
x = 2.449489743 + 9

Combine like terms: 2.449489743 + 9 = 11.449489743
x = 11.449489743

Simplifying
x = 11.449489743


Subproblem 2
x + -9 = -2.449489743

Simplifying
x + -9 = -2.449489743

Reorder the terms:
-9 + x = -2.449489743

Solving
-9 + x = -2.449489743

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + x = -2.449489743 + 9

Combine like terms: -9 + 9 = 0
0 + x = -2.449489743 + 9
x = -2.449489743 + 9

Combine like terms: -2.449489743 + 9 = 6.550510257
x = 6.550510257

Simplifying
x = 6.550510257


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.449489743, 6.550510257}
Solution
x = {11.449489743, 6.550510257}

See similar equations:

| 32+61+x=176 | | 11+g=38 | | 13=t+2 | | 9x^2+6=1 | | x^2+11x-80=0 | | 5y+10=6y+3 | | 500+n=800 | | r^2-5r=0 | | 9x-19=8x-19 | | 6n^2-10n+3=0 | | r-11=5 | | x^4=4x^3 | | 10-m=23 | | p-10=5 | | 16t+7=19+10 | | 10m+32=48 | | .20(x+2)+2x=6x-10 | | 4h+7h-16= | | 10x+32=48 | | 8=x+1 | | 8m=96 | | 4x-10=x+8 | | 11=y-6 | | 7+n=-5 | | 13+4k=5 | | 8y-x^3-2y+X=0 | | 4a+7=51 | | 8x+12=60 | | 9y=99 | | 3x^4+5x^3-12x^2-20x=0 | | 7y+11=-17 | | (x-8)(5x+4)=0 |

Equations solver categories