2x^2-10x-22=-4

Simple and best practice solution for 2x^2-10x-22=-4 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^2-10x-22=-4 equation: 


Simplifying
2x2 + -10x + -22 = -4

Reorder the terms:
-22 + -10x + 2x2 = -4

Solving
-22 + -10x + 2x2 = -4

Solving for variable 'x'.

Reorder the terms:
-22 + 4 + -10x + 2x2 = -4 + 4

Combine like terms: -22 + 4 = -18
-18 + -10x + 2x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-18 + -10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -5x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
-9 + -5x + x2 = 0

Solving
-9 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -5x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + -5x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x + x2 = 0 + 9
-5x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-5x + x2 = 9

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 = 9 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 9 + 6.25

Combine like terms: 9 + 6.25 = 15.25
6.25 + -5x + x2 = 15.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 15.25

Calculate the square root of the right side: 3.905124838

Break this problem into two subproblems by setting 
(x + -2.5) equal to 3.905124838 and -3.905124838.


Subproblem 1
x + -2.5 = 3.905124838

Simplifying
x + -2.5 = 3.905124838

Reorder the terms:
-2.5 + x = 3.905124838

Solving
-2.5 + x = 3.905124838

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 = 3.905124838 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 3.905124838 + 2.5
x = 3.905124838 + 2.5

Combine like terms: 3.905124838 + 2.5 = 6.405124838
x = 6.405124838

Simplifying
x = 6.405124838


Subproblem 2
x + -2.5 = -3.905124838

Simplifying
x + -2.5 = -3.905124838

Reorder the terms:
-2.5 + x = -3.905124838

Solving
-2.5 + x = -3.905124838

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 = -3.905124838 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -3.905124838 + 2.5
x = -3.905124838 + 2.5

Combine like terms: -3.905124838 + 2.5 = -1.405124838
x = -1.405124838

Simplifying
x = -1.405124838


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.405124838, -1.405124838}
Solution
x = {6.405124838, -1.405124838}

See similar equations:

| 17=136 | | x=0.5*50+50 | | 50=0.5y+50 | | 100=0.5y+50 | | x=0.5y+50 | | 7z+12=4z+10 | | 7w/10=-7 | | -9x+cy=12 | | 12x+20y=17 | | -9x+cy+12x+20y=29 | | 59x^2+17=0 | | 13-7x=11-3x | | 13-4z=40-7z | | 3(x+2)_(x-4)=14 | | x-.35x=100 | | 13-7x=1-7x | | 8x+2y+1=0 | | 3x+2(2x-4)-10=3x-6 | | 4x+2.4x+x=100 | | 4x+2.4x+x= | | 0.5877=ln(9/y) | | -a^2-2a=0 | | 4x=9x-10 | | 4=ln(3/y) | | 24t-4t^2=0 | | x^2+12x+9=144 | | 4(3-2x)=4(7x+1) | | x+3a=15+ax-7a | | 6x+13y=33 | | -m^2-5m=0 | | X-4.95=250 | | 4a*bc*7d= |

Equations solver categories