2X^2-10X-90=0

Simple and best practice solution for 2X^2-10X-90=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 2X^2-10X-90=0 equation: 


Simplifying
2X2 + -10X + -90 = 0

Reorder the terms:
-90 + -10X + 2X2 = 0

Solving
-90 + -10X + 2X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -5X + X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-45 + -5X + X2)' equal to zero and attempt to solve:

Simplifying
-45 + -5X + X2 = 0

Solving
-45 + -5X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '45' to each side of the equation.
-45 + -5X + 45 + X2 = 0 + 45

Reorder the terms:
-45 + 45 + -5X + X2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -5X + X2 = 0 + 45
-5X + X2 = 0 + 45

Combine like terms: 0 + 45 = 45
-5X + X2 = 45

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 = 45 + 6.25

Reorder the terms:
6.25 + -5X + X2 = 45 + 6.25

Combine like terms: 45 + 6.25 = 51.25
6.25 + -5X + X2 = 51.25

Factor a perfect square on the left side:
(X + -2.5)(X + -2.5) = 51.25

Calculate the square root of the right side: 7.158910532

Break this problem into two subproblems by setting 
(X + -2.5) equal to 7.158910532 and -7.158910532.


Subproblem 1
X + -2.5 = 7.158910532

Simplifying
X + -2.5 = 7.158910532

Reorder the terms:
-2.5 + X = 7.158910532

Solving
-2.5 + X = 7.158910532

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 = 7.158910532 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + X = 7.158910532 + 2.5
X = 7.158910532 + 2.5

Combine like terms: 7.158910532 + 2.5 = 9.658910532
X = 9.658910532

Simplifying
X = 9.658910532


Subproblem 2
X + -2.5 = -7.158910532

Simplifying
X + -2.5 = -7.158910532

Reorder the terms:
-2.5 + X = -7.158910532

Solving
-2.5 + X = -7.158910532

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 = -7.158910532 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + X = -7.158910532 + 2.5
X = -7.158910532 + 2.5

Combine like terms: -7.158910532 + 2.5 = -4.658910532
X = -4.658910532

Simplifying
X = -4.658910532


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {9.658910532, -4.658910532}
Solution
X = {9.658910532, -4.658910532}

See similar equations:

| Ln(3x*2x)=3 | | 3x+8-5(x+1)=7x+5 | | 33a+12=7900 | | y=3/4(4)-6 | | y-16+10x-25=180 | | 12-54=-3x-6x | | 7.5=2+1.5(3x+1) | | 2(5x+3)=18 | | .02-.02(x+3)=-.03(3-x) | | 3n+6=33 | | n+7=7+n | | .16(24)+.04x=.08(6+x) | | 6m+3=9 | | 3x-59=-1 | | solvex=3y+10fory | | 2(X-8)=2X-16 | | 6=p+8 | | 3v/2v^-1 | | 2w+4(7+3w)= | | 20X+10=20X-10 | | 3(x-6)=54 | | .16(24)+.04=.08(6+x) | | -17x+32=11x^2-17 | | 2y+4x+5=180 | | 9th-4+3(a-11)=23 | | 70=28+7x | | 20x+2y=-16 | | 2x+3=26 | | 2p-5r=q | | 20x-4=12x-20 | | 5*14-(2*1+4-1)= | | 8y-10y-y=-y |

Equations solver categories