35x^2-52x-729=0

Simple and best practice solution for 35x^2-52x-729=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 35x^2-52x-729=0 equation:


Simplifying
35x2 + -52x + -729 = 0

Reorder the terms:
-729 + -52x + 35x2 = 0

Solving
-729 + -52x + 35x2 = 0

Solving for variable 'x'.

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

Divide each side by '35'.
-20.82857143 + -1.485714286x + x2 = 0

Move the constant term to the right:

Add '20.82857143' to each side of the equation.
-20.82857143 + -1.485714286x + 20.82857143 + x2 = 0 + 20.82857143

Reorder the terms:
-20.82857143 + 20.82857143 + -1.485714286x + x2 = 0 + 20.82857143

Combine like terms: -20.82857143 + 20.82857143 = 0.00000000
0.00000000 + -1.485714286x + x2 = 0 + 20.82857143
-1.485714286x + x2 = 0 + 20.82857143

Combine like terms: 0 + 20.82857143 = 20.82857143
-1.485714286x + x2 = 20.82857143

The x term is -1.485714286x.  Take half its coefficient (-0.742857143).
Square it (0.5518367349) and add it to both sides.

Add '0.5518367349' to each side of the equation.
-1.485714286x + 0.5518367349 + x2 = 20.82857143 + 0.5518367349

Reorder the terms:
0.5518367349 + -1.485714286x + x2 = 20.82857143 + 0.5518367349

Combine like terms: 20.82857143 + 0.5518367349 = 21.3804081649
0.5518367349 + -1.485714286x + x2 = 21.3804081649

Factor a perfect square on the left side:
(x + -0.742857143)(x + -0.742857143) = 21.3804081649

Calculate the square root of the right side: 4.623895345

Break this problem into two subproblems by setting 
(x + -0.742857143) equal to 4.623895345 and -4.623895345.

Subproblem 1

x + -0.742857143 = 4.623895345 Simplifying x + -0.742857143 = 4.623895345 Reorder the terms: -0.742857143 + x = 4.623895345 Solving -0.742857143 + x = 4.623895345 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.742857143' to each side of the equation. -0.742857143 + 0.742857143 + x = 4.623895345 + 0.742857143 Combine like terms: -0.742857143 + 0.742857143 = 0.000000000 0.000000000 + x = 4.623895345 + 0.742857143 x = 4.623895345 + 0.742857143 Combine like terms: 4.623895345 + 0.742857143 = 5.366752488 x = 5.366752488 Simplifying x = 5.366752488

Subproblem 2

x + -0.742857143 = -4.623895345 Simplifying x + -0.742857143 = -4.623895345 Reorder the terms: -0.742857143 + x = -4.623895345 Solving -0.742857143 + x = -4.623895345 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.742857143' to each side of the equation. -0.742857143 + 0.742857143 + x = -4.623895345 + 0.742857143 Combine like terms: -0.742857143 + 0.742857143 = 0.000000000 0.000000000 + x = -4.623895345 + 0.742857143 x = -4.623895345 + 0.742857143 Combine like terms: -4.623895345 + 0.742857143 = -3.881038202 x = -3.881038202 Simplifying x = -3.881038202

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.366752488, -3.881038202}

See similar equations:

| 3y+2215y=0 | | 2y=7+x | | x+17+2x+7+9x=180 | | Y=3/7x-12 | | 6x^3-3x^2+4=0 | | 60=5+30c | | 2/5×2/5 | | X+15+6x-10=180 | | a-8/24=-1 | | 60=5+30 | | 8/0.72 | | 100+80b=250+70b | | 42-48V=-38-8V | | 43+3y=-10y-9 | | n-4b=10b+10 | | 2(x+6)-2=74-6x | | -3(7+5v)=54 | | m-4/9=11/27 | | -30=19+7x | | A^2b^2-25c=0 | | 0.75x-9=27 | | 56=-8(3-5b) | | 6(7-8V)=-38-8V | | 3d(2d-15)=0 | | (3x+5)+(7x+4)=180 | | 2x^3+2x^2-2x=0 | | 36+84x+49x^2=0 | | 8-5n=105 | | 4lnx-1/9lny | | 3x+7-7y+2y-3y-1= | | 5n-8=105 | | 4x+1+5x-4=180 |

Equations solver categories