2x^2+3x-18=0

Simple and best practice solution for 2x^2+3x-18=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-18=0 equation: 


Simplifying
2x2 + 3x + -18 = 0

Reorder the terms:
-18 + 3x + 2x2 = 0

Solving
-18 + 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'.
-9 + 1.5x + x2 = 0

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 1.5x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + 1.5x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 1.5x + x2 = 0 + 9
1.5x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
1.5x + x2 = 9

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 = 9 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 9 + 0.5625

Combine like terms: 9 + 0.5625 = 9.5625
0.5625 + 1.5x + x2 = 9.5625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 9.5625

Calculate the square root of the right side: 3.092329219

Break this problem into two subproblems by setting 
(x + 0.75) equal to 3.092329219 and -3.092329219.


Subproblem 1
x + 0.75 = 3.092329219

Simplifying
x + 0.75 = 3.092329219

Reorder the terms:
0.75 + x = 3.092329219

Solving
0.75 + x = 3.092329219

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 = 3.092329219 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 3.092329219 + -0.75
x = 3.092329219 + -0.75

Combine like terms: 3.092329219 + -0.75 = 2.342329219
x = 2.342329219

Simplifying
x = 2.342329219


Subproblem 2
x + 0.75 = -3.092329219

Simplifying
x + 0.75 = -3.092329219

Reorder the terms:
0.75 + x = -3.092329219

Solving
0.75 + x = -3.092329219

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 = -3.092329219 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -3.092329219 + -0.75
x = -3.092329219 + -0.75

Combine like terms: -3.092329219 + -0.75 = -3.842329219
x = -3.842329219

Simplifying
x = -3.842329219


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.342329219, -3.842329219}

See similar equations:

| 45+1s=45 | | n+(-2)=-9 | | a+b=18 | | 2u+3=0 | | -10+6y=2y+30 | | log(x^2-20)-logx=3 | | 4x+10=16+3x | | 14=2L+2(4) | | 4m^2+8m+3=0 | | 2u^2-u-3=0 | | 40=2(2x-4+x) | | 3/6x=4/12 | | (10x-2x)-(2x+30)=20+3x | | 75.36=3.14*2r | | 4xy=29 | | (12x^2+40x+25)/(2x+5) | | 7.36=3.14*2r | | 2*y=1 | | x(x+1)(x-4)=70 | | 75.36=3.14*r^2 | | 6z+12=5z+3 | | -110+6m=-74 | | -9(9-m)-13=5 | | -4x=-84 | | 19x=1050000000 | | 1x/2+1x/6=7/1 | | 379.94=3.14*2r | | -3x+1=x+9-4x | | x^2+2x-3=x-1 | | 3x-2=6x-32 | | 5(3x+2)-2x=15x-2(x-5) | | 3*.333333333333+4=5 |

Equations solver categories