14x^2+34x+90=0

Simple and best practice solution for 14x^2+34x+90=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 14x^2+34x+90=0 equation: 


Simplifying
14x2 + 34x + 90 = 0

Reorder the terms:
90 + 34x + 14x2 = 0

Solving
90 + 34x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + 17x + 7x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(45 + 17x + 7x2)' equal to zero and attempt to solve:

Simplifying
45 + 17x + 7x2 = 0

Solving
45 + 17x + 7x2 = 0

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

Divide each side by '7'.
6.428571429 + 2.428571429x + x2 = 0

Move the constant term to the right:

Add '-6.428571429' to each side of the equation.
6.428571429 + 2.428571429x + -6.428571429 + x2 = 0 + -6.428571429

Reorder the terms:
6.428571429 + -6.428571429 + 2.428571429x + x2 = 0 + -6.428571429

Combine like terms: 6.428571429 + -6.428571429 = 0.000000000
0.000000000 + 2.428571429x + x2 = 0 + -6.428571429
2.428571429x + x2 = 0 + -6.428571429

Combine like terms: 0 + -6.428571429 = -6.428571429
2.428571429x + x2 = -6.428571429

The x term is 2.428571429x.  Take half its coefficient (1.214285715).
Square it (1.474489798) and add it to both sides.

Add '1.474489798' to each side of the equation.
2.428571429x + 1.474489798 + x2 = -6.428571429 + 1.474489798

Reorder the terms:
1.474489798 + 2.428571429x + x2 = -6.428571429 + 1.474489798

Combine like terms: -6.428571429 + 1.474489798 = -4.954081631
1.474489798 + 2.428571429x + x2 = -4.954081631

Factor a perfect square on the left side:
(x + 1.214285715)(x + 1.214285715) = -4.954081631

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:

| (4w-5)-(w+7)= | | 3x^2-53x+120=0 | | 2x^2+13x+14=0 | | 2y=.6(2y*y) | | y+z+6cy+6cz= | | 7x-10x=-9-12 | | M/2 | | 7x+2=5x-11 | | -20x^5+18x^4+18x^3= | | 4log(5)= | | 12x^2+39x-156=0 | | 39+(-19)+(-23)= | | 7+3s-5=8s+6 | | 9y^3-4y-45y^2+20=0 | | x*2+5x-14=0 | | (2x-3)/2 | | 8b=-10+9b | | 15%=32.50 | | 4x+x=225 | | 5t+15-6= | | t-8=10-t | | (8x^6w^3-2xw^8)/(2xw^3) | | 1/8=2/x | | x^2+1=1-2x | | F(X)=9X+3 | | 3-z=6 | | 7-3x=31-11x | | 14-6-3+3= | | -8.61-(-8.61)= | | -10-3t=-t | | 9x^2-30x-144=0 | | 36x^2y^2-6xy^3=0 |

Equations solver categories