5x^2+5x-20=20

Simple and best practice solution for 5x^2+5x-20=20 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+5x-20=20 equation: 


Simplifying
5x2 + 5x + -20 = 20

Reorder the terms:
-20 + 5x + 5x2 = 20

Solving
-20 + 5x + 5x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + -20 + 5x + 5x2 = 20 + -20

Combine like terms: -20 + -20 = -40
-40 + 5x + 5x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-40 + 5x + 5x2 = 0

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

Ignore the factor 5.

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

Simplifying
-8 + x + x2 = 0

Solving
-8 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x + x2 = 0 + 8
x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
x + x2 = 8

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

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 8 + 0.25

Reorder the terms:
0.25 + x + x2 = 8 + 0.25

Combine like terms: 8 + 0.25 = 8.25
0.25 + x + x2 = 8.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(x + 0.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
x + 0.5 = 2.872281323

Simplifying
x + 0.5 = 2.872281323

Reorder the terms:
0.5 + x = 2.872281323

Solving
0.5 + x = 2.872281323

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 2.872281323 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 2.872281323 + -0.5
x = 2.872281323 + -0.5

Combine like terms: 2.872281323 + -0.5 = 2.372281323
x = 2.372281323

Simplifying
x = 2.372281323


Subproblem 2
x + 0.5 = -2.872281323

Simplifying
x + 0.5 = -2.872281323

Reorder the terms:
0.5 + x = -2.872281323

Solving
0.5 + x = -2.872281323

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -2.872281323 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -2.872281323 + -0.5
x = -2.872281323 + -0.5

Combine like terms: -2.872281323 + -0.5 = -3.372281323
x = -3.372281323

Simplifying
x = -3.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.372281323, -3.372281323}
Solution
x = {2.372281323, -3.372281323}

See similar equations:

| logx(x+6)=2 | | 4t^2-t-3=0 | | -10=14x | | 1+(a+b)= | | 2x+6x^(-1/3)=0 | | 9r+8=26 | | 2d(2)-32=0 | | x^2+5x=20 | | x(x+8)+18=0 | | 5x^2+5x=20 | | 3x+5-2x+3x=17 | | 59=x-29 | | sin(6x)+sin(2x)=0 | | 24+5x=8x | | 5x^2+35x-40=0 | | 7(2x+1)=-4(x+12) | | 7+4p=28+p | | 8(x-1)=-2 | | 5(x+6)/6=3x-4 | | y+24=3y^2 | | n+3/4+12 | | 3x+7+2x=8x+7-3x | | 6(2x+4)=5(3x-2) | | 9x-(1+2x)=2(3x-0,5)-3 | | 4u=6.4 | | (7+a)+7= | | 7x+5/3+3x+2/2 | | e^2x=10 | | 5dx^2+50dx+80d=0 | | 8x+15=5x+54 | | (x+5)-12(x+5)+32=0 | | w/3+2/5=1/5 |

Equations solver categories