16x^2-124x+260=0

Simple and best practice solution for 16x^2-124x+260=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 16x^2-124x+260=0 equation: 


Simplifying
16x2 + -124x + 260 = 0

Reorder the terms:
260 + -124x + 16x2 = 0

Solving
260 + -124x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(65 + -31x + 4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(65 + -31x + 4x2)' equal to zero and attempt to solve:

Simplifying
65 + -31x + 4x2 = 0

Solving
65 + -31x + 4x2 = 0

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

Divide each side by '4'.
16.25 + -7.75x + x2 = 0

Move the constant term to the right:

Add '-16.25' to each side of the equation.
16.25 + -7.75x + -16.25 + x2 = 0 + -16.25

Reorder the terms:
16.25 + -16.25 + -7.75x + x2 = 0 + -16.25

Combine like terms: 16.25 + -16.25 = 0.00
0.00 + -7.75x + x2 = 0 + -16.25
-7.75x + x2 = 0 + -16.25

Combine like terms: 0 + -16.25 = -16.25
-7.75x + x2 = -16.25

The x term is -7.75x.  Take half its coefficient (-3.875).
Square it (15.015625) and add it to both sides.

Add '15.015625' to each side of the equation.
-7.75x + 15.015625 + x2 = -16.25 + 15.015625

Reorder the terms:
15.015625 + -7.75x + x2 = -16.25 + 15.015625

Combine like terms: -16.25 + 15.015625 = -1.234375
15.015625 + -7.75x + x2 = -1.234375

Factor a perfect square on the left side:
(x + -3.875)(x + -3.875) = -1.234375

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:

| 3=18c | | x^4+11=12x^2 | | -9-7+3-(-5)-8+(-10)= | | 18c=3 | | 308n= | | 16*-5/8 | | 3r-14=17 | | 4x-pi/2=0 | | -24/-168 | | 102/-18 | | -9-5(x-1)=19x+8(2x-11) | | 7m-6=50 | | 3*22= | | 28.5=4*6*3x | | 5(x+1)-3(x-2)=15 | | 9c=7.20 | | 4x+3(4x+3)=2x+5 | | 2(4p+8)= | | 3v-5=2b-3 | | 10/7x=3 | | 12/144 | | -3(4+5x)=-57 | | 14y=3x+2 | | 2.1p+3=3.21 | | 7y-10=5y+4 | | 2r=3r+2 | | 8h+16h-12=25h-12 | | y=15cos(x) | | -85/-34 | | 2/5c=2 | | f(x)=15cos(x) | | -5(1-5x)-40x-10=-4-8x |

Equations solver categories