5x^2+3x-7+x^2-5x+9=0

Simple and best practice solution for 5x^2+3x-7+x^2-5x+9=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 5x^2+3x-7+x^2-5x+9=0 equation: 


Simplifying
5x2 + 3x + -7 + x2 + -5x + 9 = 0

Reorder the terms:
-7 + 9 + 3x + -5x + 5x2 + x2 = 0

Combine like terms: -7 + 9 = 2
2 + 3x + -5x + 5x2 + x2 = 0

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

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

Solving
2 + -2x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -1x + 3x2)' equal to zero and attempt to solve:

Simplifying
1 + -1x + 3x2 = 0

Solving
1 + -1x + 3x2 = 0

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

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

Move the constant term to the right:

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

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

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

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

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 = -0.3333333333 + 0.02777777779

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

Combine like terms: -0.3333333333 + 0.02777777779 = -0.30555555551
0.02777777779 + -0.3333333333x + x2 = -0.30555555551

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.30555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| x-142+9x=38 | | 10w+5=7w-13 | | 5p+26=3(3p-2) | | 0.6(x-6)=6.0 | | -8x+12x-20=32 | | 8.8m+2.1=2.3m+-16.1 | | k-2k-5k=4 | | 3x-21-4x=7 | | 2y+10=-14 | | 3x+6-3=7x+7-4x | | 12+5(2+y)= | | 48=6(-10+n) | | 48=6(-20+n) | | 13x+44=-28 | | 2x+2(5+2x)6x+10=250 | | 4x^3-100x^2-600x-1000=0 | | -6(r+8)=-66 | | 3=(y-41) | | 6(x+8)+x=3(x+2)-8 | | 59=6n+5 | | 25x^2+9y^2+150x-18y+9=0 | | ln|cos(pi/2)| | | 3x=4x-131 | | (X+51)=2 | | -5(3p+2)-16=2(2p+6) | | x-2radx=3 | | -240=h/2 | | (11x-26y)+(48x+70y)= | | 2(-k-6)+7k=k | | EV=(197/500)-(998/500) | | -6(5x+7)=222 | | 6m+7=-10 |

Equations solver categories