4x^2+5x=-1.6

Simple and best practice solution for 4x^2+5x=-1.6 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+5x=-1.6 equation:


Simplifying
4x2 + 5x = -1.6

Reorder the terms:
5x + 4x2 = -1.6

Solving
5x + 4x2 = -1.6

Solving for variable 'x'.

Reorder the terms:
1.6 + 5x + 4x2 = -1.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
1.6 + 5x + 4x2 = 0.0

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

Divide each side by '4'.
0.4 + 1.25x + x2 = 0.0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 1.25x + -0.4 + x2 = 0.0 + -0.4

Reorder the terms:
0.4 + -0.4 + 1.25x + x2 = 0.0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 1.25x + x2 = 0.0 + -0.4
1.25x + x2 = 0.0 + -0.4

Combine like terms: 0.0 + -0.4 = -0.4
1.25x + x2 = -0.4

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -0.4 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -0.4 + 0.390625

Combine like terms: -0.4 + 0.390625 = -0.009375
0.390625 + 1.25x + x2 = -0.009375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -0.009375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 1/3-5= | | 3x-2=0.5x+4 | | 3(1.2x-5)=0.6x | | (5x+3y-2)(2x-2y+5)=0 | | 7x+3-8x=2x+4x-6x | | (4a-3b)(2a-7b)(5a-6b+4)=0 | | 2x+x-30+x+10=180 | | (x+y)dx+(6x+6y-1)dy=0 | | m^3+m^2+m+1= | | 1+a*cosx=a^2+2a+1 | | 6x+4y+24xy=0 | | -2x^2+12x+10=0 | | 64a-76=54 | | 64a^2-76=54 | | 2-2lnx=5 | | x^2+2y^2-18=0 | | 2X*2+3X-14=0 | | 9T*2-4=0 | | 2(2x+3)=6x+1-2x+5 | | 4R*2+20R+25=0 | | X*2+5X-6=0 | | 8x-7=5x-67 | | S*2+8S+12=0 | | .75/(3/8)= | | 5T-10T*2=0 | | 3x+2-x=14 | | 4X+20X*2=0 | | -3s*2+9s=0 | | 4y+3-y=15 | | X^2+2ax+(2a^2+2+1)=0 | | x^3+2x^2+5x-8=0 | | x*1/2=45 |

Equations solver categories