5x^2=-3x-8

Simple and best practice solution for 5x^2=-3x-8 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 5x^2=-3x-8 equation:


Simplifying
5x2 = -3x + -8

Reorder the terms:
5x2 = -8 + -3x

Solving
5x2 = -8 + -3x

Solving for variable 'x'.

Reorder the terms:
8 + 3x + 5x2 = -8 + -3x + 8 + 3x

Reorder the terms:
8 + 3x + 5x2 = -8 + 8 + -3x + 3x

Combine like terms: -8 + 8 = 0
8 + 3x + 5x2 = 0 + -3x + 3x
8 + 3x + 5x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 3x + 5x2 = 0

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

Divide each side by '5'.
1.6 + 0.6x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 0.6x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 0.6x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.6x + x2 = 0 + -1.6
0.6x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
0.6x + x2 = -1.6

The x term is 0.6x.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6x + 0.09 + x2 = -1.6 + 0.09

Reorder the terms:
0.09 + 0.6x + x2 = -1.6 + 0.09

Combine like terms: -1.6 + 0.09 = -1.51
0.09 + 0.6x + x2 = -1.51

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = -1.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (3x^2+1)(4x^2+5)= | | 5(y+9)=-4y-18 | | (4x-3)(4x+4)= | | In(x)+in(2x)=9 | | -5(x-3)=45 | | 8x+34=-5(x+1) | | -6(14)+6y=42 | | (7x-2)(-4x-3)= | | 4.2z=2.3z-10.26 | | 2(10)-9y=-38 | | 3,75+x=16,8 | | (x^2+3)=0 | | 9(u+3)=-2u-17 | | (6x^2-36x)-(x-6)= | | -(15)+2y=-1 | | 5(2x-7)=6x+13 | | 14X^2-26x+12=0 | | 3v+2(v-4)=-23 | | (x+1)-(x-6)= | | 19=-3w+8(w-2) | | 6.08/7.6 | | (32/16)^4+(7-2)^2 | | -(17)+y=-27 | | 7x+4(x+8)=-1 | | y+12=9 | | -8+14x=7-x | | 2x+3=-2x-1 | | t-u=-5 | | 5(17)+8y=39 | | x^3+5x-4x-20=0 | | 3a+2b-a+5b= | | 3(5x-15)=15(x-15) |

Equations solver categories