4x^2-3x-18=0

Simple and best practice solution for 4x^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 4x^2-3x-18=0 equation: 


Simplifying
4x2 + -3x + -18 = 0

Reorder the terms:
-18 + -3x + 4x2 = 0

Solving
-18 + -3x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-4.5 + -0.75x + x2 = 0

Move the constant term to the right:

Add '4.5' to each side of the equation.
-4.5 + -0.75x + 4.5 + x2 = 0 + 4.5

Reorder the terms:
-4.5 + 4.5 + -0.75x + x2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -0.75x + x2 = 0 + 4.5
-0.75x + x2 = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
-0.75x + x2 = 4.5

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = 4.5 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = 4.5 + 0.140625

Combine like terms: 4.5 + 0.140625 = 4.640625
0.140625 + -0.75x + x2 = 4.640625

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = 4.640625

Calculate the square root of the right side: 2.154210992

Break this problem into two subproblems by setting 
(x + -0.375) equal to 2.154210992 and -2.154210992.


Subproblem 1
x + -0.375 = 2.154210992

Simplifying
x + -0.375 = 2.154210992

Reorder the terms:
-0.375 + x = 2.154210992

Solving
-0.375 + x = 2.154210992

Solving for variable 'x'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + x = 2.154210992 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + x = 2.154210992 + 0.375
x = 2.154210992 + 0.375

Combine like terms: 2.154210992 + 0.375 = 2.529210992
x = 2.529210992

Simplifying
x = 2.529210992


Subproblem 2
x + -0.375 = -2.154210992

Simplifying
x + -0.375 = -2.154210992

Reorder the terms:
-0.375 + x = -2.154210992

Solving
-0.375 + x = -2.154210992

Solving for variable 'x'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + x = -2.154210992 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + x = -2.154210992 + 0.375
x = -2.154210992 + 0.375

Combine like terms: -2.154210992 + 0.375 = -1.779210992
x = -1.779210992

Simplifying
x = -1.779210992


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.529210992, -1.779210992}

See similar equations:

| 0=(2x+1)(x-3) | | 7a-a-5a= | | .75(8x-4)+.5(6x+4)= | | 3X-2X-4= | | 2n^2-143n-390=0 | | .75(8x)= | | -4(66x+166)=11x-4x | | 3(2x+3)=39 | | 3x+7y=36 | | .75(8x-4)= | | (9x-5)(81x^2-90x+25)=0 | | 2*-6-3=y | | 9m-2n-2m+4n= | | 7x-8+3x=8x+2 | | -3(5a+4)= | | 3x^4-2x^2-8=0 | | 5*-2+2=y | | 3m-2n-5m+6n= | | 6a-3a-5a= | | y=5*2+2 | | y=5*0+2 | | y=5*-2+2 | | 9(x-1)+4(x+1)=20-4x | | -10*1+1=y | | p(x)=95-3x | | 11n+18=9n-3 | | -10*0+1=y | | 4x^2+26x-8=0 | | -10*0+1= | | -10*-1+1=y | | a^3-4a^2+5a-20= | | a^3-4a^2+5a-20=0 |

Equations solver categories