-4.905x^2+180x-20=0

Simple and best practice solution for -4.905x^2+180x-20=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 -4.905x^2+180x-20=0 equation:


Simplifying
-4.905x2 + 180x + -20 = 0

Reorder the terms:
-20 + 180x + -4.905x2 = 0

Solving
-20 + 180x + -4.905x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4.905 the coefficient of the squared term: 

Divide each side by '-4.905'.
4.077471967 + -36.69724771x + x2 = 0

Move the constant term to the right:

Add '-4.077471967' to each side of the equation.
4.077471967 + -36.69724771x + -4.077471967 + x2 = 0 + -4.077471967

Reorder the terms:
4.077471967 + -4.077471967 + -36.69724771x + x2 = 0 + -4.077471967

Combine like terms: 4.077471967 + -4.077471967 = 0.000000000
0.000000000 + -36.69724771x + x2 = 0 + -4.077471967
-36.69724771x + x2 = 0 + -4.077471967

Combine like terms: 0 + -4.077471967 = -4.077471967
-36.69724771x + x2 = -4.077471967

The x term is -36.69724771x.  Take half its coefficient (-18.34862386).
Square it (336.6719976) and add it to both sides.

Add '336.6719976' to each side of the equation.
-36.69724771x + 336.6719976 + x2 = -4.077471967 + 336.6719976

Reorder the terms:
336.6719976 + -36.69724771x + x2 = -4.077471967 + 336.6719976

Combine like terms: -4.077471967 + 336.6719976 = 332.594525633
336.6719976 + -36.69724771x + x2 = 332.594525633

Factor a perfect square on the left side:
(x + -18.34862386)(x + -18.34862386) = 332.594525633

Calculate the square root of the right side: 18.237174278

Break this problem into two subproblems by setting 
(x + -18.34862386) equal to 18.237174278 and -18.237174278.

Subproblem 1

x + -18.34862386 = 18.237174278 Simplifying x + -18.34862386 = 18.237174278 Reorder the terms: -18.34862386 + x = 18.237174278 Solving -18.34862386 + x = 18.237174278 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18.34862386' to each side of the equation. -18.34862386 + 18.34862386 + x = 18.237174278 + 18.34862386 Combine like terms: -18.34862386 + 18.34862386 = 0.00000000 0.00000000 + x = 18.237174278 + 18.34862386 x = 18.237174278 + 18.34862386 Combine like terms: 18.237174278 + 18.34862386 = 36.585798138 x = 36.585798138 Simplifying x = 36.585798138

Subproblem 2

x + -18.34862386 = -18.237174278 Simplifying x + -18.34862386 = -18.237174278 Reorder the terms: -18.34862386 + x = -18.237174278 Solving -18.34862386 + x = -18.237174278 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18.34862386' to each side of the equation. -18.34862386 + 18.34862386 + x = -18.237174278 + 18.34862386 Combine like terms: -18.34862386 + 18.34862386 = 0.00000000 0.00000000 + x = -18.237174278 + 18.34862386 x = -18.237174278 + 18.34862386 Combine like terms: -18.237174278 + 18.34862386 = 0.111449582 x = 0.111449582 Simplifying x = 0.111449582

Solution

The solution to the problem is based on the solutions from the subproblems. x = {36.585798138, 0.111449582}

See similar equations:

| X^2-2v=3 | | (2w-3)(1+w)=0 | | 4k= | | Ln(3x-1)+ln(x-5)=ln*5 | | k+12= | | 2x^2-2sqrt(2x)-1=0 | | C^2+2x-63=0 | | 3x+4-5x+2=8 | | 10x+3y+2x-3y= | | 9-3(n-50)=30 | | 802log*20=x | | 802log(20)=x | | .00983log(20)=x | | 8x+20=6x+40 | | 1+(1+r)(1+r)=2 | | 20=18-X | | (1+r)(1+r)=2 | | f(2)=6-3x | | f(0)=6-3x | | f(-6)=6-3x | | LN(801.4)=x | | 20log(801.84)=x | | 4x+12=18-12x | | 7n^2-84n+252=0 | | 45-10u=32 | | 0.8y=-x+16 | | x+4=y-1 | | 2x-3y=o | | x^3+ln(x+1)=40 | | 3(x-1)=4(x+2)+2 | | (24x-4)-(15x-10)=3-(40-30x) | | 8y+14(400-y)=4520 |

Equations solver categories