4x^2+6x+2=18

Simple and best practice solution for 4x^2+6x+2=18 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+6x+2=18 equation:


Simplifying
4x2 + 6x + 2 = 18

Reorder the terms:
2 + 6x + 4x2 = 18

Solving
2 + 6x + 4x2 = 18

Solving for variable 'x'.

Reorder the terms:
2 + -18 + 6x + 4x2 = 18 + -18

Combine like terms: 2 + -18 = -16
-16 + 6x + 4x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-16 + 6x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 3x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + 3x + 2x2)' equal to zero and attempt to solve:

Simplifying
-8 + 3x + 2x2 = 0

Solving
-8 + 3x + 2x2 = 0

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

Divide each side by '2'.
-4 + 1.5x + x2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 1.5x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 1.5x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1.5x + x2 = 0 + 4
1.5x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
1.5x + x2 = 4

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 = 4 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 4 + 0.5625

Combine like terms: 4 + 0.5625 = 4.5625
0.5625 + 1.5x + x2 = 4.5625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 4.5625

Calculate the square root of the right side: 2.136000936

Break this problem into two subproblems by setting 
(x + 0.75) equal to 2.136000936 and -2.136000936.


Subproblem 1
x + 0.75 = 2.136000936

Simplifying
x + 0.75 = 2.136000936

Reorder the terms:
0.75 + x = 2.136000936

Solving
0.75 + x = 2.136000936

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 = 2.136000936 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 2.136000936 + -0.75
x = 2.136000936 + -0.75

Combine like terms: 2.136000936 + -0.75 = 1.386000936
x = 1.386000936

Simplifying
x = 1.386000936


Subproblem 2
x + 0.75 = -2.136000936

Simplifying
x + 0.75 = -2.136000936

Reorder the terms:
0.75 + x = -2.136000936

Solving
0.75 + x = -2.136000936

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 = -2.136000936 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -2.136000936 + -0.75
x = -2.136000936 + -0.75

Combine like terms: -2.136000936 + -0.75 = -2.886000936
x = -2.886000936

Simplifying
x = -2.886000936


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.386000936, -2.886000936}
Solution
x = {1.386000936, -2.886000936}

See similar equations:

| x^2+2=-4x | | a+a+4=-6 | | 1/2-3=a+8 | | 6(2x-3y)-3(x-4y)= | | 4x-3y+xy-2x-7xy-8y+2= | | .55x+.05(20-x)=.10(40) | | -6x^3+19x^2+10=0 | | X^4-36=0 | | 2+4(x-3)=4[2-5(x+4)] | | 8.5-1.25x=4x-9.5 | | -16t^2+8t+70=0 | | 8.5-1.25=4x-9.5 | | y=x-4+x-4 | | X*x+13x+42=0 | | y-15=-4 | | 2t-3t+8=3t+8 | | -6x^2+4x+2=0 | | 40x+8x(1.5)=650 | | 40x+8x=650 | | -6x^2+28x+10=0 | | p+4=8+5p | | -6x^2+x+37=0 | | 2-z=-16 | | x-6x^2+37=0 | | 20-x/3=x/2 | | 6m^2-5m-14=0 | | -4y=84 | | 25-[2+5y-3(y+2)]= | | r+18=-45.3 | | 5x^2=57 | | -7+8n=1+4n | | -x=-99 |

Equations solver categories