5x^2+15x-25=0

Simple and best practice solution for 5x^2+15x-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 5x^2+15x-25=0 equation: 


Simplifying
5x2 + 15x + -25 = 0

Reorder the terms:
-25 + 15x + 5x2 = 0

Solving
-25 + 15x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-5 + 3x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-5 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
-5 + 3x + x2 = 0

Solving
-5 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 3x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x + x2 = 0 + 5
3x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3x + x2 = 5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 5 + 2.25

Combine like terms: 5 + 2.25 = 7.25
2.25 + 3x + x2 = 7.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 7.25

Calculate the square root of the right side: 2.692582404

Break this problem into two subproblems by setting 
(x + 1.5) equal to 2.692582404 and -2.692582404.


Subproblem 1
x + 1.5 = 2.692582404

Simplifying
x + 1.5 = 2.692582404

Reorder the terms:
1.5 + x = 2.692582404

Solving
1.5 + x = 2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 2.692582404 + -1.5
x = 2.692582404 + -1.5

Combine like terms: 2.692582404 + -1.5 = 1.192582404
x = 1.192582404

Simplifying
x = 1.192582404


Subproblem 2
x + 1.5 = -2.692582404

Simplifying
x + 1.5 = -2.692582404

Reorder the terms:
1.5 + x = -2.692582404

Solving
1.5 + x = -2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -2.692582404 + -1.5
x = -2.692582404 + -1.5

Combine like terms: -2.692582404 + -1.5 = -4.192582404
x = -4.192582404

Simplifying
x = -4.192582404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.192582404, -4.192582404}
Solution
x = {1.192582404, -4.192582404}

See similar equations:

| 3y-8=12y+10 | | 4x-3(2x+1)=3+2(3x-11) | | 3(4x-4)-2x=8x-25 | | 5(3+x)-2=17 | | 11b^2=-7 | | 5n^2=n+48 | | 10x^2+23x=42 | | -19p=-19 | | 18a^2-8=0 | | 3r^2-10r=48 | | 3x^2-6x=24 | | -5+x=-25 | | x-29=37 | | 11x-21=12-8x | | 2h(5h+2)=0 | | -5=4m+8 | | -12=x+9 | | -7=2x^2+3x+2 | | 2x^2+8x=45 | | 9x+6=x-9 | | -9x-6=-x-9 | | y=6x^3 | | 9x+6=-x-9 | | 9x+6=-x+9 | | -x+2=x-5-3x | | 1.1(2.2x+3.3)=4.4 | | x^2+x-342= | | 6y=48 | | 2(x-2)+x=5 | | 7(4n-1)+8=4(7n+4) | | m=7-3(-2) | | 8ln(7x)=40 |

Equations solver categories