-4x^2-20x+25=

Simple and best practice solution for -4x^2-20x+25= 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 -4x^2-20x+25= equation:


Simplifying
-4x2 + -20x + 25 = 0

Reorder the terms:
25 + -20x + -4x2 = 0

Solving
25 + -20x + -4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
-6.25 + 5x + x2 = 0

Move the constant term to the right:

Add '6.25' to each side of the equation.
-6.25 + 5x + 6.25 + x2 = 0 + 6.25

Reorder the terms:
-6.25 + 6.25 + 5x + x2 = 0 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + 5x + x2 = 0 + 6.25
5x + x2 = 0 + 6.25

Combine like terms: 0 + 6.25 = 6.25
5x + x2 = 6.25

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 6.25 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 6.25 + 6.25

Combine like terms: 6.25 + 6.25 = 12.5
6.25 + 5x + x2 = 12.5

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 12.5

Calculate the square root of the right side: 3.535533906

Break this problem into two subproblems by setting 
(x + 2.5) equal to 3.535533906 and -3.535533906.

Subproblem 1

x + 2.5 = 3.535533906 Simplifying x + 2.5 = 3.535533906 Reorder the terms: 2.5 + x = 3.535533906 Solving 2.5 + x = 3.535533906 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 3.535533906 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 3.535533906 + -2.5 x = 3.535533906 + -2.5 Combine like terms: 3.535533906 + -2.5 = 1.035533906 x = 1.035533906 Simplifying x = 1.035533906

Subproblem 2

x + 2.5 = -3.535533906 Simplifying x + 2.5 = -3.535533906 Reorder the terms: 2.5 + x = -3.535533906 Solving 2.5 + x = -3.535533906 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -3.535533906 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -3.535533906 + -2.5 x = -3.535533906 + -2.5 Combine like terms: -3.535533906 + -2.5 = -6.035533906 x = -6.035533906 Simplifying x = -6.035533906

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.035533906, -6.035533906}

See similar equations:

| 10m+1=61 | | 4ax-3a=0 | | log(50x)=2 | | 5(x-3)+9+3x=20 | | 20-3(2x-7)=(x+5)-6 | | 16ln(1+x)-ln(x)=45.9497 | | -18-(-19)=-17 | | Y+-11=-8 | | 7x^2+x=-5 | | x²/2 | | 7h+12=3h+15 | | 4^1/8÷5^1/2 | | 3x^2+10=5+x^2 | | N/2-3=13 | | 6-14z=-15z-1 | | K/16-3/4=3/8 | | -1-3.5v=22 | | .4m=-13 | | 10x-70=0 | | 5j=14+4j | | -1y+1=-2 | | -14k+4=-13k | | px^2+q=0 | | x+13+10x=50-x | | 12+p=3p | | -5y+3=63 | | 3(x-4)+5x=9x-27 | | 8x-1=5x-2 | | x^2+y^2+xy=0 | | 3x+2(0)=-5 | | 25-2y+9=44 | | 5c*2e= |

Equations solver categories