4x^2=-1-2x

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


Simplifying
4x2 = -1 + -2x

Solving
4x2 = -1 + -2x

Solving for variable 'x'.

Reorder the terms:
1 + 2x + 4x2 = -1 + -2x + 1 + 2x

Reorder the terms:
1 + 2x + 4x2 = -1 + 1 + -2x + 2x

Combine like terms: -1 + 1 = 0
1 + 2x + 4x2 = 0 + -2x + 2x
1 + 2x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 2x + 4x2 = 0

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

Divide each side by '4'.
0.25 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.5x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.5x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.5x + x2 = 0 + -0.25
0.5x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.5x + x2 = -0.25

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -0.25 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -0.25 + 0.0625

Combine like terms: -0.25 + 0.0625 = -0.1875
0.0625 + 0.5x + x2 = -0.1875

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2y*.0325x=1x+6.3y | | -4x+7-x+2=9 | | y=2x^2-2x-4 | | x^2-6=18 | | 5*x=0 | | 3x(x-5)=7(x)(x)-16x | | 6y+4x=4 | | 3+5ln=2 | | 7+3(2z-6)-3(4z+3)-6= | | z^2-4z+4+i=0 | | 7(c+1)=5(c+3) | | 9y*7y=252 | | 25=-5x^2+30x+25 | | 2x+y=141 | | 3c=2(c+3) | | 15(x)(x)+26x+8=0 | | 11x-36=5x+54 | | 2(x)(x)-15x=8 | | 3x^2+2x=3x+1 | | 3(2x+9)=9x+7 | | (4x+7)(x-8)= | | 126=x(5+x) | | x+40=3x-0 | | (4x+5)(x+7)= | | (y+2)(y+2)-63=0 | | -40+30x=40-30x | | 0=1-2lnX | | (x-8)(6x-5)= | | x^2=8x+11 | | 2=7x+3 | | h(t)=2t+0.3sin(2(pi)t) | | 4(3x+5)=17x |

Equations solver categories