32x^2-24x-5=0

Simple and best practice solution for 32x^2-24x-5=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 32x^2-24x-5=0 equation:


Simplifying
32x2 + -24x + -5 = 0

Reorder the terms:
-5 + -24x + 32x2 = 0

Solving
-5 + -24x + 32x2 = 0

Solving for variable 'x'.

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

Divide each side by '32'.
-0.15625 + -0.75x + x2 = 0

Move the constant term to the right:

Add '0.15625' to each side of the equation.
-0.15625 + -0.75x + 0.15625 + x2 = 0 + 0.15625

Reorder the terms:
-0.15625 + 0.15625 + -0.75x + x2 = 0 + 0.15625

Combine like terms: -0.15625 + 0.15625 = 0.00000
0.00000 + -0.75x + x2 = 0 + 0.15625
-0.75x + x2 = 0 + 0.15625

Combine like terms: 0 + 0.15625 = 0.15625
-0.75x + x2 = 0.15625

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 = 0.15625 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = 0.15625 + 0.140625

Combine like terms: 0.15625 + 0.140625 = 0.296875
0.140625 + -0.75x + x2 = 0.296875

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = 0.296875

Calculate the square root of the right side: 0.544862368

Break this problem into two subproblems by setting 
(x + -0.375) equal to 0.544862368 and -0.544862368.

Subproblem 1

x + -0.375 = 0.544862368 Simplifying x + -0.375 = 0.544862368 Reorder the terms: -0.375 + x = 0.544862368 Solving -0.375 + x = 0.544862368 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 = 0.544862368 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + x = 0.544862368 + 0.375 x = 0.544862368 + 0.375 Combine like terms: 0.544862368 + 0.375 = 0.919862368 x = 0.919862368 Simplifying x = 0.919862368

Subproblem 2

x + -0.375 = -0.544862368 Simplifying x + -0.375 = -0.544862368 Reorder the terms: -0.375 + x = -0.544862368 Solving -0.375 + x = -0.544862368 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 = -0.544862368 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + x = -0.544862368 + 0.375 x = -0.544862368 + 0.375 Combine like terms: -0.544862368 + 0.375 = -0.169862368 x = -0.169862368 Simplifying x = -0.169862368

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.919862368, -0.169862368}

See similar equations:

| -(p-16)=5 | | 32x^2-24x-72=0 | | 6x+5=29-2x | | -58=x-17 | | -6.8m=4.24-6.4m | | -58=x-71 | | 200=6x+30 | | -12=14+x | | -15.72-4.9s=-5.82-15.9s | | 3x+9=43 | | -4(z+4)=2-3z | | 10j-20=20-j+15 | | X-8.2=-5.9 | | Y=-2x^2-16x-33 | | 9=3(x-4)+4x | | -20-6z=-10z+20 | | 4(x-3)+2(x+5)=1 | | 5(2x-3)+1=10x | | 12f=13f+16 | | 10t=9t-8 | | -9+6n=2n+3+6n | | r+6.4=-1.6 | | 24x+9=-3+12x | | (9x+12)-(120-9x)=18 | | -9h+8=-6-7h | | r-9.7=-3.3 | | -5-d=-2d | | lnx*lnx=0 | | 2(5x+1)=22 | | -8+3q-9=3+9 | | 3b=b-4 | | 5+b=2x-ax |

Equations solver categories