2X^2-3X-17=0

Simple and best practice solution for 2X^2-3X-17=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^2-3X-17=0 equation: 


Simplifying
2X2 + -3X + -17 = 0

Reorder the terms:
-17 + -3X + 2X2 = 0

Solving
-17 + -3X + 2X2 = 0

Solving for variable 'X'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-8.5 + -1.5X + X2 = 0

Move the constant term to the right:

Add '8.5' to each side of the equation.
-8.5 + -1.5X + 8.5 + X2 = 0 + 8.5

Reorder the terms:
-8.5 + 8.5 + -1.5X + X2 = 0 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + -1.5X + X2 = 0 + 8.5
-1.5X + X2 = 0 + 8.5

Combine like terms: 0 + 8.5 = 8.5
-1.5X + X2 = 8.5

The X term is -1.5X.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5X + 0.5625 + X2 = 8.5 + 0.5625

Reorder the terms:
0.5625 + -1.5X + X2 = 8.5 + 0.5625

Combine like terms: 8.5 + 0.5625 = 9.0625
0.5625 + -1.5X + X2 = 9.0625

Factor a perfect square on the left side:
(X + -0.75)(X + -0.75) = 9.0625

Calculate the square root of the right side: 3.010398645

Break this problem into two subproblems by setting 
(X + -0.75) equal to 3.010398645 and -3.010398645.


Subproblem 1
X + -0.75 = 3.010398645

Simplifying
X + -0.75 = 3.010398645

Reorder the terms:
-0.75 + X = 3.010398645

Solving
-0.75 + X = 3.010398645

Solving for variable 'X'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + X = 3.010398645 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + X = 3.010398645 + 0.75
X = 3.010398645 + 0.75

Combine like terms: 3.010398645 + 0.75 = 3.760398645
X = 3.760398645

Simplifying
X = 3.760398645


Subproblem 2
X + -0.75 = -3.010398645

Simplifying
X + -0.75 = -3.010398645

Reorder the terms:
-0.75 + X = -3.010398645

Solving
-0.75 + X = -3.010398645

Solving for variable 'X'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + X = -3.010398645 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + X = -3.010398645 + 0.75
X = -3.010398645 + 0.75

Combine like terms: -3.010398645 + 0.75 = -2.260398645
X = -2.260398645

Simplifying
X = -2.260398645


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {3.760398645, -2.260398645}

See similar equations:

| x^2-12x+36+2x^6-12=0 | | x^2+13x+18x=-3 | | 4*x^2+3=0 | | 4(x+2)-6= | | 36x^2-25y^2=0 | | x^2-18x+65=0 | | 7x^2+3x-15=49-45x | | 3*x^2-8=0 | | 2+9=x-8 | | (7x-5)(7x-1)=0 | | 5x^3-10x^2+x-2=0 | | -14x+3y=-4 | | 7x+2x=9 | | 5s^2=45s | | 4x+21=11x-21 | | 3x-9x+x-2x= | | x^2-10x-171=0 | | 6x^2-23x-35=0 | | 3x-6x+9x-8x= | | 5x^2=40x | | 11x+6=9x+21 | | 3x^5-24x^3+36x=0 | | (4a+2)(6a^2-a+2)= | | 11x+6=9x+13 | | 10(8c-1)-14=78c+10 | | 5x^2+8x=69 | | 8-4x=14+2x | | 7(x+3)=56 | | 2x(-2x-3)= | | 8x+5=6x+1 | | 18x^4+3x^2-1=0 | | (3x-4)(4x+3)= |

Equations solver categories