72829x+93x^2=5-2x

Simple and best practice solution for 72829x+93x^2=5-2x 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 72829x+93x^2=5-2x equation:


Simplifying
72829x + 93x2 = 5 + -2x

Solving
72829x + 93x2 = 5 + -2x

Solving for variable 'x'.

Reorder the terms:
-5 + 72829x + 2x + 93x2 = 5 + -2x + -5 + 2x

Combine like terms: 72829x + 2x = 72831x
-5 + 72831x + 93x2 = 5 + -2x + -5 + 2x

Reorder the terms:
-5 + 72831x + 93x2 = 5 + -5 + -2x + 2x

Combine like terms: 5 + -5 = 0
-5 + 72831x + 93x2 = 0 + -2x + 2x
-5 + 72831x + 93x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 72831x + 93x2 = 0

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

Divide each side by '93'.
-0.05376344086 + 783.1290323x + x2 = 0

Move the constant term to the right:

Add '0.05376344086' to each side of the equation.
-0.05376344086 + 783.1290323x + 0.05376344086 + x2 = 0 + 0.05376344086

Reorder the terms:
-0.05376344086 + 0.05376344086 + 783.1290323x + x2 = 0 + 0.05376344086

Combine like terms: -0.05376344086 + 0.05376344086 = 0.00000000000
0.00000000000 + 783.1290323x + x2 = 0 + 0.05376344086
783.1290323x + x2 = 0 + 0.05376344086

Combine like terms: 0 + 0.05376344086 = 0.05376344086
783.1290323x + x2 = 0.05376344086

The x term is 783.1290323x.  Take half its coefficient (391.5645162).
Square it (153322.7703) and add it to both sides.

Add '153322.7703' to each side of the equation.
783.1290323x + 153322.7703 + x2 = 0.05376344086 + 153322.7703

Reorder the terms:
153322.7703 + 783.1290323x + x2 = 0.05376344086 + 153322.7703

Combine like terms: 0.05376344086 + 153322.7703 = 153322.82406344086
153322.7703 + 783.1290323x + x2 = 153322.82406344086

Factor a perfect square on the left side:
(x + 391.5645162)(x + 391.5645162) = 153322.82406344086

Calculate the square root of the right side: 391.564584792

Break this problem into two subproblems by setting 
(x + 391.5645162) equal to 391.564584792 and -391.564584792.

Subproblem 1

x + 391.5645162 = 391.564584792 Simplifying x + 391.5645162 = 391.564584792 Reorder the terms: 391.5645162 + x = 391.564584792 Solving 391.5645162 + x = 391.564584792 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-391.5645162' to each side of the equation. 391.5645162 + -391.5645162 + x = 391.564584792 + -391.5645162 Combine like terms: 391.5645162 + -391.5645162 = 0.0000000 0.0000000 + x = 391.564584792 + -391.5645162 x = 391.564584792 + -391.5645162 Combine like terms: 391.564584792 + -391.5645162 = 0.000068592 x = 0.000068592 Simplifying x = 0.000068592

Subproblem 2

x + 391.5645162 = -391.564584792 Simplifying x + 391.5645162 = -391.564584792 Reorder the terms: 391.5645162 + x = -391.564584792 Solving 391.5645162 + x = -391.564584792 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-391.5645162' to each side of the equation. 391.5645162 + -391.5645162 + x = -391.564584792 + -391.5645162 Combine like terms: 391.5645162 + -391.5645162 = 0.0000000 0.0000000 + x = -391.564584792 + -391.5645162 x = -391.564584792 + -391.5645162 Combine like terms: -391.564584792 + -391.5645162 = -783.129100992 x = -783.129100992 Simplifying x = -783.129100992

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.000068592, -783.129100992}

See similar equations:

| (5X+127)+2(X-2)=256 | | -7(9-5x)=182 | | (80-z)/(80-70)=0.375 | | (90-z)/(90-80)=0.16 | | -7(6+3x)=105 | | 3x-29=13 | | 6x+3x+11=74 | | (x-5)/4=(x-6)/2 | | 85=8x+7 | | 7(9-4x)=175 | | 3(x+2x)=10 | | 4x+6b=40 | | x/4=84 | | 5=x/3-8 | | (70-z)/(70-60)=0.1 | | dy/dx-y=sin2x | | 4(-3x+10)=-92 | | (80-z)/(80-70)=0.1 | | 375x-2x+290=3450-220 | | 1/y5 | | (80-z)/(80-70)=0 | | -4(-7x+7)=-308 | | 3/4x-11=4 | | ln(x-5)=4.9 | | k=9(8) | | 3m^4-13m^2-10=0 | | X+12+67=180 | | 2lnx-6ex^2(2x+3)+3x=18 | | f(x)=x-3(4x-5) | | 7(1+2x)=7 | | (7w+2x)(5w-4x-6)= | | d=3m+5 |

Equations solver categories