4X^2-88X+336=0

Simple and best practice solution for 4X^2-88X+336=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 4X^2-88X+336=0 equation: 


Simplifying
4X2 + -88X + 336 = 0

Reorder the terms:
336 + -88X + 4X2 = 0

Solving
336 + -88X + 4X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4'.
4(84 + -22X + X2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(84 + -22X + X2)' equal to zero and attempt to solve:

Simplifying
84 + -22X + X2 = 0

Solving
84 + -22X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + -22X + -84 + X2 = 0 + -84

Reorder the terms:
84 + -84 + -22X + X2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -22X + X2 = 0 + -84
-22X + X2 = 0 + -84

Combine like terms: 0 + -84 = -84
-22X + X2 = -84

The X term is -22X.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22X + 121 + X2 = -84 + 121

Reorder the terms:
121 + -22X + X2 = -84 + 121

Combine like terms: -84 + 121 = 37
121 + -22X + X2 = 37

Factor a perfect square on the left side:
(X + -11)(X + -11) = 37

Calculate the square root of the right side: 6.08276253

Break this problem into two subproblems by setting 
(X + -11) equal to 6.08276253 and -6.08276253.


Subproblem 1
X + -11 = 6.08276253

Simplifying
X + -11 = 6.08276253

Reorder the terms:
-11 + X = 6.08276253

Solving
-11 + X = 6.08276253

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + 11 + X = 6.08276253 + 11

Combine like terms: -11 + 11 = 0
0 + X = 6.08276253 + 11
X = 6.08276253 + 11

Combine like terms: 6.08276253 + 11 = 17.08276253
X = 17.08276253

Simplifying
X = 17.08276253


Subproblem 2
X + -11 = -6.08276253

Simplifying
X + -11 = -6.08276253

Reorder the terms:
-11 + X = -6.08276253

Solving
-11 + X = -6.08276253

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + 11 + X = -6.08276253 + 11

Combine like terms: -11 + 11 = 0
0 + X = -6.08276253 + 11
X = -6.08276253 + 11

Combine like terms: -6.08276253 + 11 = 4.91723747
X = 4.91723747

Simplifying
X = 4.91723747


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {17.08276253, 4.91723747}
Solution
X = {17.08276253, 4.91723747}

See similar equations:

| 2m^2+8m+3=0 | | -2x^2+8x-12=0 | | 7x^2+17xy+6y^2= | | 3(2x+5)-3(4x-10)= | | 49y^2+28y+4=0 | | 500+x*200*2= | | 1=1-6b-7b | | -2.5n=5 | | 3n-5=-4 | | 7x^3+14x^2+7x+14= | | 5x+3-2x=7x-3 | | 3x^2+5x-7=4x+3 | | 4x^2-12x-4=0 | | -2-(5)= | | 3*x=500 | | 21x+13=3x | | N=1500(1-e-0.045t) | | 1.5x-18.4=0.6x-22.9 | | 1.5x-18.4=0.6-22.9 | | n+50+42=1500 | | 7x^2-26x+15=0 | | (5x-1)(2x+1)=2x | | 16.67p=2000q-150a+b | | 7x^2+68x+45=0 | | 0=-16t^2+3t+8 | | 0.2(t+6.3)=17.5 | | (4x+2)=(x+28) | | 4(x-4)+10=22 | | 5a-1-3a=2a+1 | | 2m^2+13m+10= | | B^2+2b-48=0 | | 7-3x+3+8x= |

Equations solver categories