14x+9=36x^2

Simple and best practice solution for 14x+9=36x^2 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 14x+9=36x^2 equation:


Simplifying
14x + 9 = 36x2

Reorder the terms:
9 + 14x = 36x2

Solving
9 + 14x = 36x2

Solving for variable 'x'.

Combine like terms: 36x2 + -36x2 = 0
9 + 14x + -36x2 = 0

Begin completing the square.  Divide all terms by
-36 the coefficient of the squared term: 

Divide each side by '-36'.
-0.25 + -0.3888888889x + x2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -0.3888888889x + 0.25 + x2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -0.3888888889x + x2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.3888888889x + x2 = 0 + 0.25
-0.3888888889x + x2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-0.3888888889x + x2 = 0.25

The x term is -0.3888888889x.  Take half its coefficient (-0.1944444445).
Square it (0.03780864200) and add it to both sides.

Add '0.03780864200' to each side of the equation.
-0.3888888889x + 0.03780864200 + x2 = 0.25 + 0.03780864200

Reorder the terms:
0.03780864200 + -0.3888888889x + x2 = 0.25 + 0.03780864200

Combine like terms: 0.25 + 0.03780864200 = 0.287808642
0.03780864200 + -0.3888888889x + x2 = 0.287808642

Factor a perfect square on the left side:
(x + -0.1944444445)(x + -0.1944444445) = 0.287808642

Calculate the square root of the right side: 0.536477998

Break this problem into two subproblems by setting 
(x + -0.1944444445) equal to 0.536477998 and -0.536477998.

Subproblem 1

x + -0.1944444445 = 0.536477998 Simplifying x + -0.1944444445 = 0.536477998 Reorder the terms: -0.1944444445 + x = 0.536477998 Solving -0.1944444445 + x = 0.536477998 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1944444445' to each side of the equation. -0.1944444445 + 0.1944444445 + x = 0.536477998 + 0.1944444445 Combine like terms: -0.1944444445 + 0.1944444445 = 0.0000000000 0.0000000000 + x = 0.536477998 + 0.1944444445 x = 0.536477998 + 0.1944444445 Combine like terms: 0.536477998 + 0.1944444445 = 0.7309224425 x = 0.7309224425 Simplifying x = 0.7309224425

Subproblem 2

x + -0.1944444445 = -0.536477998 Simplifying x + -0.1944444445 = -0.536477998 Reorder the terms: -0.1944444445 + x = -0.536477998 Solving -0.1944444445 + x = -0.536477998 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1944444445' to each side of the equation. -0.1944444445 + 0.1944444445 + x = -0.536477998 + 0.1944444445 Combine like terms: -0.1944444445 + 0.1944444445 = 0.0000000000 0.0000000000 + x = -0.536477998 + 0.1944444445 x = -0.536477998 + 0.1944444445 Combine like terms: -0.536477998 + 0.1944444445 = -0.3420335535 x = -0.3420335535 Simplifying x = -0.3420335535

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.7309224425, -0.3420335535}

See similar equations:

| 2v^2+8v+8=0 | | -9=-8+4r-5 | | -8+2x=16+12x | | -4m-2m=-6 | | 0.2(3.6+2)=4 | | 7x-35=3x+29 | | -23*-32+234= | | 4x-2-2x=2-5 | | 5n+4(-4-n)=-2(1+3n) | | 7x-3-1=10 | | a(b+5)+3(b+5)= | | 2x+4=5x+5-3x+6 | | x+8=92 | | B+b+2=2b | | -9+.75n=-13 | | 2(6x-4)-4(7x+8)=144 | | -(-3x+2)=-2(x-6) | | (x-5)(x-5)=(x-6)(x-3) | | +6= | | 2x+5*3=85 | | 3(3x+4)=24 | | 4x-2y=22 | | 1.75+y=.75 | | -5(c+2)=20-6c+10 | | 6(x-8)=-30(x-2) | | 2x^2+14=6x | | p(p+3)=-2 | | -y=2x-4 | | 6(x-2)=-30(x-8) | | 8r-7=25 | | 3.1x-7=2.8x+8 | | 15x+2+6x-11=180 |

Equations solver categories