4x^2-40x+110=0

Simple and best practice solution for 4x^2-40x+110=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^2-40x+110=0 equation: 


Simplifying
4x2 + -40x + 110 = 0

Reorder the terms:
110 + -40x + 4x2 = 0

Solving
110 + -40x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(55 + -20x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(55 + -20x + 2x2)' equal to zero and attempt to solve:

Simplifying
55 + -20x + 2x2 = 0

Solving
55 + -20x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
27.5 + -10x + x2 = 0

Move the constant term to the right:

Add '-27.5' to each side of the equation.
27.5 + -10x + -27.5 + x2 = 0 + -27.5

Reorder the terms:
27.5 + -27.5 + -10x + x2 = 0 + -27.5

Combine like terms: 27.5 + -27.5 = 0.0
0.0 + -10x + x2 = 0 + -27.5
-10x + x2 = 0 + -27.5

Combine like terms: 0 + -27.5 = -27.5
-10x + x2 = -27.5

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -27.5 + 25

Reorder the terms:
25 + -10x + x2 = -27.5 + 25

Combine like terms: -27.5 + 25 = -2.5
25 + -10x + x2 = -2.5

Factor a perfect square on the left side:
(x + -5)(x + -5) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| (x+8)/12+(3/4)x=1 | | 0=b^2+11b+30 | | (x+7)/14+(3/7)x=1 | | -120+72Q-6Q^2=0 | | (x+7)/14+(3/7)x | | 4(x-3)-8x=24 | | 7.75(x)-(-3x^2+425x+22675)= | | 2(x-5)(x-5)+10=0 | | ((y+8)/4)+((y+1)/8)=4 | | 3(x-2)-7x=23 | | (x+7)/14+3/7x | | -42-2x=7-8x | | 12/x=4/5 | | 6x+7y=80 | | 6x+7y=100 | | 6x+7y=74 | | 4x-3=12-83 | | 6x+7y=92 | | 2x^-2y^-2z/x^3z^-2 | | 5y=2y+4 | | 11y/21-6/7= | | 4.9x+56.2=12.4-9.7x | | 5v-4.4=8.1 | | -8v+30.9=5.3 | | 4v-5.1=1.3 | | 1+3(4+x)=2(4x+14) | | 9.7-3x=2.2 | | 2x^2=-9-10 | | 11.8/1.6 | | 5.3=-20.3+8u | | 3xsquared=-42x | | 10+3(4-x)= |

Equations solver categories