10x^2+50x-25=0

Simple and best practice solution for 10x^2+50x-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 10x^2+50x-25=0 equation: 


Simplifying
10x2 + 50x + -25 = 0

Reorder the terms:
-25 + 50x + 10x2 = 0

Solving
-25 + 50x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-5 + 10x + 2x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-5 + 10x + 2x2)' equal to zero and attempt to solve:

Simplifying
-5 + 10x + 2x2 = 0

Solving
-5 + 10x + 2x2 = 0

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

Divide each side by '2'.
-2.5 + 5x + x2 = 0

Move the constant term to the right:

Add '2.5' to each side of the equation.
-2.5 + 5x + 2.5 + x2 = 0 + 2.5

Reorder the terms:
-2.5 + 2.5 + 5x + x2 = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 5x + x2 = 0 + 2.5
5x + x2 = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
5x + x2 = 2.5

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 = 2.5 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 2.5 + 6.25

Combine like terms: 2.5 + 6.25 = 8.75
6.25 + 5x + x2 = 8.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 8.75

Calculate the square root of the right side: 2.958039892

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.958039892 and -2.958039892.


Subproblem 1
x + 2.5 = 2.958039892

Simplifying
x + 2.5 = 2.958039892

Reorder the terms:
2.5 + x = 2.958039892

Solving
2.5 + x = 2.958039892

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 = 2.958039892 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.958039892 + -2.5
x = 2.958039892 + -2.5

Combine like terms: 2.958039892 + -2.5 = 0.458039892
x = 0.458039892

Simplifying
x = 0.458039892


Subproblem 2
x + 2.5 = -2.958039892

Simplifying
x + 2.5 = -2.958039892

Reorder the terms:
2.5 + x = -2.958039892

Solving
2.5 + x = -2.958039892

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 = -2.958039892 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.958039892 + -2.5
x = -2.958039892 + -2.5

Combine like terms: -2.958039892 + -2.5 = -5.458039892
x = -5.458039892

Simplifying
x = -5.458039892


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.458039892, -5.458039892}
Solution
x = {0.458039892, -5.458039892}

See similar equations:

| (2y^2-8y+5)(y-1)= | | 8x+49+2x+31=90 | | (8c-9)-(3c-4)+(6-c)= | | 8m^3+14m^2+6m=0 | | 3(5x+20)=2x | | y=-1/x | | 8x+49+2x+41=90 | | 3x^4+5x^2-4x-2=0 | | 15c^4+24c^3-6c^2+12c=0 | | 4=-17u | | 4x-6.2=5.3x | | 15c^3+24c^3-6c^2+12c=0 | | 4x-36x=0 | | 2(x+5)=44 | | (X+15)=12 | | -4(6r+3)=-180 | | 42x^4-56x^3+28x^2=0 | | 5(1-6n)=-145 | | (X+15)=348 | | s=32-3s | | 6/15=48/x | | 40t^3+25t^2+80t=0 | | 6(9x-1)=99-7(3-4x) | | (9x^5y^7)(2x^6y)= | | 174=(3x+5)x | | 24x-4y=28 | | (14/3x^6)(6/7x^5) | | -4(1-3x)=68 | | 300d^2-175d=0 | | (p+26)+(3p-37)+p=919 | | (X+20)/8=13 | | (3a^6)(-2a^3)= |

Equations solver categories