(8x^2+3x-4)-(5x^2+2x-6)=0

Simple and best practice solution for (8x^2+3x-4)-(5x^2+2x-6)=0 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+3x-4)-(5x^2+2x-6)=0 equation: 


Simplifying
(8x2 + 3x + -4) + -1(5x2 + 2x + -6) = 0

Reorder the terms:
(-4 + 3x + 8x2) + -1(5x2 + 2x + -6) = 0

Remove parenthesis around (-4 + 3x + 8x2)
-4 + 3x + 8x2 + -1(5x2 + 2x + -6) = 0

Reorder the terms:
-4 + 3x + 8x2 + -1(-6 + 2x + 5x2) = 0
-4 + 3x + 8x2 + (-6 * -1 + 2x * -1 + 5x2 * -1) = 0
-4 + 3x + 8x2 + (6 + -2x + -5x2) = 0

Reorder the terms:
-4 + 6 + 3x + -2x + 8x2 + -5x2 = 0

Combine like terms: -4 + 6 = 2
2 + 3x + -2x + 8x2 + -5x2 = 0

Combine like terms: 3x + -2x = 1x
2 + 1x + 8x2 + -5x2 = 0

Combine like terms: 8x2 + -5x2 = 3x2
2 + 1x + 3x2 = 0

Solving
2 + 1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
0.6666666667 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.3333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + -0.6666666667
0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.3333333333x + x2 = -0.6666666667

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + 0.3333333333x + x2 = -0.63888888891

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.63888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| d(dx)=ln(7) | | 3a+5(9)=21 | | 4n+5+3n+2=3n+15 | | d/-5=7 | | 0.1x^2+2x+50=0 | | -50x+2x^3=0 | | 8(n+1)=8 | | u+5.3=6.3 | | 3/5x-4/3x=1/3 | | a*34=2300 | | 4y+18=90 | | 1/x=0.42 | | (-256)/(y)=32 | | -48x+3x^3=0 | | 1/x^2=0.42 | | x(2)18=27 | | (x*0.06)+x=116.55 | | (4)*(-3)*(y)*(-7)=-420 | | 3-(x/8)=12 | | (y)*(3)*(-1)=-45 | | (4x-7)(4x-9)= | | 2x^2-8x=9 | | 10x^2=24x-8 | | (-8)*(-5)*(-2)*(y)=160 | | 6(n-1)=24 | | a(bx+9)=cx+3 | | (y)*(2)*(-3)=30 | | .35x+.8(70-x)=.5(70) | | (y)x(2)x(-3)=30 | | 4x^4-5x^3-4x^2=0 | | y=-2+6x+3x^2 | | -4/3(y-12)-1/6y= |

Equations solver categories