50x^2-4x-18=0

Simple and best practice solution for 50x^2-4x-18=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 50x^2-4x-18=0 equation: 


Simplifying
50x2 + -4x + -18 = 0

Reorder the terms:
-18 + -4x + 50x2 = 0

Solving
-18 + -4x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -2x + 25x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -2x + 25x2)' equal to zero and attempt to solve:

Simplifying
-9 + -2x + 25x2 = 0

Solving
-9 + -2x + 25x2 = 0

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

Divide each side by '25'.
-0.36 + -0.08x + x2 = 0

Move the constant term to the right:

Add '0.36' to each side of the equation.
-0.36 + -0.08x + 0.36 + x2 = 0 + 0.36

Reorder the terms:
-0.36 + 0.36 + -0.08x + x2 = 0 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + -0.08x + x2 = 0 + 0.36
-0.08x + x2 = 0 + 0.36

Combine like terms: 0 + 0.36 = 0.36
-0.08x + x2 = 0.36

The x term is -0.08x.  Take half its coefficient (-0.04).
Square it (0.0016) and add it to both sides.

Add '0.0016' to each side of the equation.
-0.08x + 0.0016 + x2 = 0.36 + 0.0016

Reorder the terms:
0.0016 + -0.08x + x2 = 0.36 + 0.0016

Combine like terms: 0.36 + 0.0016 = 0.3616
0.0016 + -0.08x + x2 = 0.3616

Factor a perfect square on the left side:
(x + -0.04)(x + -0.04) = 0.3616

Calculate the square root of the right side: 0.601331855

Break this problem into two subproblems by setting 
(x + -0.04) equal to 0.601331855 and -0.601331855.


Subproblem 1
x + -0.04 = 0.601331855

Simplifying
x + -0.04 = 0.601331855

Reorder the terms:
-0.04 + x = 0.601331855

Solving
-0.04 + x = 0.601331855

Solving for variable 'x'.

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

Add '0.04' to each side of the equation.
-0.04 + 0.04 + x = 0.601331855 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + x = 0.601331855 + 0.04
x = 0.601331855 + 0.04

Combine like terms: 0.601331855 + 0.04 = 0.641331855
x = 0.641331855

Simplifying
x = 0.641331855


Subproblem 2
x + -0.04 = -0.601331855

Simplifying
x + -0.04 = -0.601331855

Reorder the terms:
-0.04 + x = -0.601331855

Solving
-0.04 + x = -0.601331855

Solving for variable 'x'.

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

Add '0.04' to each side of the equation.
-0.04 + 0.04 + x = -0.601331855 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + x = -0.601331855 + 0.04
x = -0.601331855 + 0.04

Combine like terms: -0.601331855 + 0.04 = -0.561331855
x = -0.561331855

Simplifying
x = -0.561331855


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.641331855, -0.561331855}
Solution
x = {0.641331855, -0.561331855}

See similar equations:

| 7x-1=3(2x+2)-5 | | 3x+0y+1=0 | | -5(-3)-y=19 | | 8x+3=2+21 | | 7+66x=33x+43 | | 0x+2y+1=0 | | -8+4x=-16+10x | | y=216x^2-14x-9 | | 11(v+2)-3v=2(4v+3)-11 | | 2x+3x-4=2x+29 | | 10u-50=12 | | -2*(20*4)-(4*x)-(8*60)=0 | | f(x)=216x^2-14x-9 | | 6.6(x-2)=-0.4x+21.8 | | -2+2x=-8+35x | | 5x^2+1x-4=0 | | 4(2x+4)+32=12x+14-4x+34 | | -5(x+15)=25 | | 0.16y+0.04(y+4000)=760 | | 3x+3-3=90 | | 53-2x=5-10x | | f(x)=x^4+3x^2-28x^2-60x | | 4x+13=-22-3x | | 5+35x=28x+9 | | 12=-8y+4y-12 | | 28-5x=8-7x | | 60a^2x^2-120ax+30=0 | | 6x+6-4x=16 | | 12+X=X+6 | | 28-5x=8-7 | | 5+35x=28x+5 | | (2u+7)(4-u)=0 |

Equations solver categories