6x^2+4=-5x

Simple and best practice solution for 6x^2+4=-5x 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 6x^2+4=-5x equation: 


Simplifying
6x2 + 4 = -5x

Reorder the terms:
4 + 6x2 = -5x

Solving
4 + 6x2 = -5x

Solving for variable 'x'.

Reorder the terms:
4 + 5x + 6x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
4 + 5x + 6x2 = 0

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

Divide each side by '6'.
0.6666666667 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.8333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.8333333333x + x2 = 0 + -0.6666666667
0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.8333333333x + x2 = -0.6666666667

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -0.6666666667 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -0.6666666667 + 0.1736111111

Combine like terms: -0.6666666667 + 0.1736111111 = -0.4930555556
0.1736111111 + 0.8333333333x + x2 = -0.4930555556

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -0.4930555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| z^2-5z-27=0 | | 4(3n-6)=-3(5-7n) | | 18p+3z-56=14-z | | 9.2x-8=2.2x+13 | | -5+5x= | | 9h^2-16=0 | | -(m-4)=-3(m-6) | | (3x+1)=(2x-8) | | C=(b+rm)(l+t) | | (x-2)*(x+5)=400 | | 5(3m+6)=57 | | -5(x+3)=7-(5+x) | | 12x-4=8x-37 | | 8/5x-3=16-2/5x | | P^2-14p+24=0 | | 3(v-2)-6v= | | 4(4-7n)=2(8-n) | | -6x+-5x= | | (46+2x)(65+2x)=4740 | | 3r^2-24r+45=0 | | 12p^2+8p+1=0 | | 3y^3+16y+5=0 | | 4(-b+7)=-(1+7v) | | (x-8)(x+7)=56 | | 17x+-12=114+3 | | 5g^2+44g-9=0 | | 5x+2(5x+8)=8x+18 | | 6p+-3(4p+3)+4(6p+1)=43 | | 5(m-2)=-(6m-1) | | x(x-9)(x+3)=0 | | Z-6.8=7.56 | | 0=6x+x^2-31 |

Equations solver categories