-4x^2-3x-1=0

Simple and best practice solution for -4x^2-3x-1=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^2-3x-1=0 equation: 


Simplifying
-4x2 + -3x + -1 = 0

Reorder the terms:
-1 + -3x + -4x2 = 0

Solving
-1 + -3x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 3x + 4x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + 3x + 4x2)' equal to zero and attempt to solve:

Simplifying
1 + 3x + 4x2 = 0

Solving
1 + 3x + 4x2 = 0

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

Divide each side by '4'.
0.25 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.75x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.75x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.75x + x2 = 0 + -0.25
0.75x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.75x + x2 = -0.25

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -0.25 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.25 + 0.140625

Combine like terms: -0.25 + 0.140625 = -0.109375
0.140625 + 0.75x + x2 = -0.109375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.109375

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:

| R+11+8r= | | 133-4x=4x+13 | | X^2=kx-121 | | -35-2x=5-7x | | 24x^2+28-20=0 | | x^2+12+21=0 | | X^4-22x^2-75=0 | | 2x^2-8x+12= | | 81r^2-16t^2=0 | | 6.4y-5.2=2 | | 8i^3-5i^11= | | 1.5= | | 2x+14=-8 | | 30d^2-40d=0 | | 30+6x=40+10x | | -2(u+6)-6u=4(u+3) | | 2y-1+3(2y+1)=-4(y+4) | | (4-9i)+(9+4i)= | | 2(u+2)+u=3(u-1)+6 | | n=11*11-11 | | n=7*7-7 | | (x-9)(x-8)=0 | | 4(5z-1)-5(z+3)=2(z+1) | | 2(5x-4)=17 | | 2*Y(3*-4)= | | 15+1.25=5 | | 7x+24=11x+22 | | 5-7x=67-21x | | x+x+x+74=x+x+x+x+x+x+x+x-11 | | 277-2x=43x+17 | | n*(n+3)+22=10*(-n-2) | | 15+1.25= |

Equations solver categories