8x^2+5x+3+7x=

Simple and best practice solution for 8x^2+5x+3+7x= 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 8x^2+5x+3+7x= equation: 


Simplifying
8x2 + 5x + 3 + 7x = 0

Reorder the terms:
3 + 5x + 7x + 8x2 = 0

Combine like terms: 5x + 7x = 12x
3 + 12x + 8x2 = 0

Solving
3 + 12x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.375 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 1.5x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 1.5x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 1.5x + x2 = 0 + -0.375
1.5x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
1.5x + x2 = -0.375

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -0.375 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -0.375 + 0.5625

Combine like terms: -0.375 + 0.5625 = 0.1875
0.5625 + 1.5x + x2 = 0.1875

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 0.1875

Calculate the square root of the right side: 0.433012702

Break this problem into two subproblems by setting 
(x + 0.75) equal to 0.433012702 and -0.433012702.


Subproblem 1
x + 0.75 = 0.433012702

Simplifying
x + 0.75 = 0.433012702

Reorder the terms:
0.75 + x = 0.433012702

Solving
0.75 + x = 0.433012702

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 0.433012702 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 0.433012702 + -0.75
x = 0.433012702 + -0.75

Combine like terms: 0.433012702 + -0.75 = -0.316987298
x = -0.316987298

Simplifying
x = -0.316987298


Subproblem 2
x + 0.75 = -0.433012702

Simplifying
x + 0.75 = -0.433012702

Reorder the terms:
0.75 + x = -0.433012702

Solving
0.75 + x = -0.433012702

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = -0.433012702 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -0.433012702 + -0.75
x = -0.433012702 + -0.75

Combine like terms: -0.433012702 + -0.75 = -1.183012702
x = -1.183012702

Simplifying
x = -1.183012702


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.316987298, -1.183012702}

See similar equations:

| 16y^2-2y-3= | | s^2-24s+44=0 | | 3x-12=2x+3 | | 3x=(6+4x) | | z/6+4=5-z/6 | | k^2-30k=0 | | xq+rq=s | | 2k^2+11k-40= | | 2x-8=-5x+7+7x | | 6x^2-11-10=0 | | 2x^2-6x-140=0 | | 3x+4(12-4)=62 | | 4+3(2x+5)=8x-10 | | -x^2-11x-28= | | 3x-1=11x+15 | | 8z-1= | | 48t-16t^2= | | x^2+2*x^2-4*x=0 | | 4(2x+1)-3(x-2)=10+2 | | 4+463728-h=76h-339 | | -2x-11x-28= | | 23x-5=22x | | 32t-16t^2= | | x-(-3)=-5 | | x^3+8x^2-23x=0 | | 3/2(6-s)=2s-23 | | 3x+2x-3=22 | | -4=4(x-6)+5x | | 4*-8= | | 5p^2-1p-18=0 | | 4x^2+8x-32= | | n+42=77 |

Equations solver categories