40x^2-20x-25=0

Simple and best practice solution for 40x^2-20x-25=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 40x^2-20x-25=0 equation: 


Simplifying
40x2 + -20x + -25 = 0

Reorder the terms:
-25 + -20x + 40x2 = 0

Solving
-25 + -20x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-5 + -4x + 8x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-5 + -4x + 8x2)' equal to zero and attempt to solve:

Simplifying
-5 + -4x + 8x2 = 0

Solving
-5 + -4x + 8x2 = 0

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

Divide each side by '8'.
-0.625 + -0.5x + x2 = 0

Move the constant term to the right:

Add '0.625' to each side of the equation.
-0.625 + -0.5x + 0.625 + x2 = 0 + 0.625

Reorder the terms:
-0.625 + 0.625 + -0.5x + x2 = 0 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + -0.5x + x2 = 0 + 0.625
-0.5x + x2 = 0 + 0.625

Combine like terms: 0 + 0.625 = 0.625
-0.5x + x2 = 0.625

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = 0.625 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = 0.625 + 0.0625

Combine like terms: 0.625 + 0.0625 = 0.6875
0.0625 + -0.5x + x2 = 0.6875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = 0.6875

Calculate the square root of the right side: 0.829156198

Break this problem into two subproblems by setting 
(x + -0.25) equal to 0.829156198 and -0.829156198.


Subproblem 1
x + -0.25 = 0.829156198

Simplifying
x + -0.25 = 0.829156198

Reorder the terms:
-0.25 + x = 0.829156198

Solving
-0.25 + x = 0.829156198

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = 0.829156198 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = 0.829156198 + 0.25
x = 0.829156198 + 0.25

Combine like terms: 0.829156198 + 0.25 = 1.079156198
x = 1.079156198

Simplifying
x = 1.079156198


Subproblem 2
x + -0.25 = -0.829156198

Simplifying
x + -0.25 = -0.829156198

Reorder the terms:
-0.25 + x = -0.829156198

Solving
-0.25 + x = -0.829156198

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = -0.829156198 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = -0.829156198 + 0.25
x = -0.829156198 + 0.25

Combine like terms: -0.829156198 + 0.25 = -0.579156198
x = -0.579156198

Simplifying
x = -0.579156198


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.079156198, -0.579156198}
Solution
x = {1.079156198, -0.579156198}

See similar equations:

| 10.98*x+27.98*(20-x)=355.60 | | 11x+3=10(x+7)-9 | | y=(9)+5 | | 6.25m+4m= | | e/12=12 | | -4z^3+60z^2-225z+5=0 | | 9x-9=8(x-2)+1 | | F(x)=x^4+x^3-2x^2 | | (8x-4)(6x+3)=0 | | 24x^2-192x+576=0 | | (-20)+q=-56 | | y=(0)+5 | | 3x=-5+sqrt(3x+7) | | 2x^2+32x-50=0 | | -24((2y)-4)y=0 | | 80p+20=30p+20 | | m-15=-12 | | y=(-9)+5 | | (5m-7)(m-2)=0 | | 3(x)=5(x+2) | | 0=5t^2+80t | | -6x=-3y-9 | | h(t)=5t^2+80t | | 3x-17=42 | | 37y+10+15y= | | log(2)(x)+log(2)(x+2)=3 | | (-46)+p=-12 | | 2(5y-1)-y=4(y-3) | | 24x=24x+42 | | 0=x^2-12x+18 | | y=(-36)+5 | | 0=(4(x^2-12))/(9(x^2-4)^(4/3)) |

Equations solver categories