2x(x-5)=130

Simple and best practice solution for 2x(x-5)=130 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 2x(x-5)=130 equation: 


Simplifying
2x(x + -5) = 130

Reorder the terms:
2x(-5 + x) = 130
(-5 * 2x + x * 2x) = 130
(-10x + 2x2) = 130

Solving
-10x + 2x2 = 130

Solving for variable 'x'.

Reorder the terms:
-130 + -10x + 2x2 = 130 + -130

Combine like terms: 130 + -130 = 0
-130 + -10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-65 + -5x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-65 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
-65 + -5x + x2 = 0

Solving
-65 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '65' to each side of the equation.
-65 + -5x + 65 + x2 = 0 + 65

Reorder the terms:
-65 + 65 + -5x + x2 = 0 + 65

Combine like terms: -65 + 65 = 0
0 + -5x + x2 = 0 + 65
-5x + x2 = 0 + 65

Combine like terms: 0 + 65 = 65
-5x + x2 = 65

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 = 65 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 65 + 6.25

Combine like terms: 65 + 6.25 = 71.25
6.25 + -5x + x2 = 71.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 71.25

Calculate the square root of the right side: 8.440971508

Break this problem into two subproblems by setting 
(x + -2.5) equal to 8.440971508 and -8.440971508.


Subproblem 1
x + -2.5 = 8.440971508

Simplifying
x + -2.5 = 8.440971508

Reorder the terms:
-2.5 + x = 8.440971508

Solving
-2.5 + x = 8.440971508

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 = 8.440971508 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 8.440971508 + 2.5
x = 8.440971508 + 2.5

Combine like terms: 8.440971508 + 2.5 = 10.940971508
x = 10.940971508

Simplifying
x = 10.940971508


Subproblem 2
x + -2.5 = -8.440971508

Simplifying
x + -2.5 = -8.440971508

Reorder the terms:
-2.5 + x = -8.440971508

Solving
-2.5 + x = -8.440971508

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 = -8.440971508 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -8.440971508 + 2.5
x = -8.440971508 + 2.5

Combine like terms: -8.440971508 + 2.5 = -5.940971508
x = -5.940971508

Simplifying
x = -5.940971508


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.940971508, -5.940971508}
Solution
x = {10.940971508, -5.940971508}

See similar equations:

| 2(x+11)(x-5)=130 | | 11k^2+3k-20-0=0 | | 2(x+11)(x-5)=y+130 | | 4/4= | | 5a^2+6a=8 | | (x+10)+50x=12000 | | 200(x+10)+50x=12000 | | 3(b-2)=96 | | (x+2)(x)(2)=96 | | 5v^2=9v | | 2m+21=8m-3 | | -2x^2-3x+3=0 | | 7(x-8)=84 | | 7x+3+5x=3x+8 | | Y+5=2Y | | 2y+1=4y-5 | | 10x+5y=80 | | 36r^2+84rg+49g^2=0 | | x^3-30x^2+175=0 | | 2(w-4)=6w-20 | | -1(4+x)=15 | | 81s^2-36s+4=0 | | x^2+11x+5=0 | | 98-8=0 | | 901-5x=7x+19 | | P=.0021x^2-.286x+16.28 | | 0.25x=45 | | 16x^2-32x+16=0 | | 2x^2+5x+7=0 | | x^2-14x-48=0 | | x^2-4x-2=-9x+4 | | w^2+5=0 |

Equations solver categories