-25x^2-20x+1=0

Simple and best practice solution for -25x^2-20x+1=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 -25x^2-20x+1=0 equation:


Simplifying
-25x2 + -20x + 1 = 0

Reorder the terms:
1 + -20x + -25x2 = 0

Solving
1 + -20x + -25x2 = 0

Solving for variable 'x'.

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

Divide each side by '-25'.
-0.04 + 0.8x + x2 = 0

Move the constant term to the right:

Add '0.04' to each side of the equation.
-0.04 + 0.8x + 0.04 + x2 = 0 + 0.04

Reorder the terms:
-0.04 + 0.04 + 0.8x + x2 = 0 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 0.8x + x2 = 0 + 0.04
0.8x + x2 = 0 + 0.04

Combine like terms: 0 + 0.04 = 0.04
0.8x + x2 = 0.04

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = 0.04 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = 0.04 + 0.16

Combine like terms: 0.04 + 0.16 = 0.2
0.16 + 0.8x + x2 = 0.2

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = 0.2

Calculate the square root of the right side: 0.447213596

Break this problem into two subproblems by setting 
(x + 0.4) equal to 0.447213596 and -0.447213596.

Subproblem 1

x + 0.4 = 0.447213596 Simplifying x + 0.4 = 0.447213596 Reorder the terms: 0.4 + x = 0.447213596 Solving 0.4 + x = 0.447213596 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = 0.447213596 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = 0.447213596 + -0.4 x = 0.447213596 + -0.4 Combine like terms: 0.447213596 + -0.4 = 0.047213596 x = 0.047213596 Simplifying x = 0.047213596

Subproblem 2

x + 0.4 = -0.447213596 Simplifying x + 0.4 = -0.447213596 Reorder the terms: 0.4 + x = -0.447213596 Solving 0.4 + x = -0.447213596 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = -0.447213596 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = -0.447213596 + -0.4 x = -0.447213596 + -0.4 Combine like terms: -0.447213596 + -0.4 = -0.847213596 x = -0.847213596 Simplifying x = -0.847213596

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.047213596, -0.847213596}

See similar equations:

| -5.6(3s+5)-1.7(2s-4)= | | 2x-20+x+2=180 | | 68=5(n+6)+6(-n+5) | | |x-3|=12 | | 14600+1000x=23350-750x | | 5(x+2)/6=4x-3 | | 3b+6+2b=36-10b | | 6(j+k)-2j= | | 4x+2(6-x)=16 | | 32=-8(3-7v)+6(1-v) | | 32=-8(3-7v)+6(1-v) | | 29+.50x=1.50x | | 2=-6x-4 | | -5(x+4)-6(x+6)=-1 | | 6a+5a=-12+5a | | 5x-45+x+39+.33x+53=180 | | -5(x+4)6(x+6)=-1 | | 7(3+m)=154 | | 100j-j+x-2j= | | -5(x-4)-6(x+6)=-1 | | 3x^2-46x+15= | | 3x+2=4+5x | | -a+4X= | | 9(r-2)=-36 | | 0.2X+1.3=0.9X-2.2 | | 96=3(8+4m) | | a/3+4=6 | | 4-2x+2(3x+1)=14+2 | | 8(1-5n)=208 | | 16+20x=12+22x | | 1.858p+67p=12p | | 6(4n+2)+4n=-156 |

Equations solver categories