x^2-32x-12=0

Simple and best practice solution for x^2-32x-12=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 x^2-32x-12=0 equation:


Simplifying
x2 + -32x + -12 = 0

Reorder the terms:
-12 + -32x + x2 = 0

Solving
-12 + -32x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -32x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -32x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -32x + x2 = 0 + 12
-32x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-32x + x2 = 12

The x term is -32x.  Take half its coefficient (-16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
-32x + 256 + x2 = 12 + 256

Reorder the terms:
256 + -32x + x2 = 12 + 256

Combine like terms: 12 + 256 = 268
256 + -32x + x2 = 268

Factor a perfect square on the left side:
(x + -16)(x + -16) = 268

Calculate the square root of the right side: 16.370705544

Break this problem into two subproblems by setting 
(x + -16) equal to 16.370705544 and -16.370705544.

Subproblem 1

x + -16 = 16.370705544 Simplifying x + -16 = 16.370705544 Reorder the terms: -16 + x = 16.370705544 Solving -16 + x = 16.370705544 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 16.370705544 + 16 Combine like terms: -16 + 16 = 0 0 + x = 16.370705544 + 16 x = 16.370705544 + 16 Combine like terms: 16.370705544 + 16 = 32.370705544 x = 32.370705544 Simplifying x = 32.370705544

Subproblem 2

x + -16 = -16.370705544 Simplifying x + -16 = -16.370705544 Reorder the terms: -16 + x = -16.370705544 Solving -16 + x = -16.370705544 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = -16.370705544 + 16 Combine like terms: -16 + 16 = 0 0 + x = -16.370705544 + 16 x = -16.370705544 + 16 Combine like terms: -16.370705544 + 16 = -0.370705544 x = -0.370705544 Simplifying x = -0.370705544

Solution

The solution to the problem is based on the solutions from the subproblems. x = {32.370705544, -0.370705544}

See similar equations:

| 5x-3=-37 | | 3v+6u=-63 | | 7x^2-8x-65=0 | | 8/3(h-47) | | x/7+x/3 | | .2(3m+2)-2m=1.1(3-4m)-2.4 | | 3x-16+3x=7+6x-22 | | 22/x=1/2 | | 20x^2+27x+-8=0 | | 66/x=3/4 | | 2x+6=2(5x-10) | | (1/3)x+4y+6=(2/5) | | -4/3/2 | | 4/5=x/12 | | 8=-29x | | 25=x/2 | | A=1w+wh+1h | | 12+2-x=6 | | 21-3r=-3r+21 | | (-1.21)/(-1.1) | | 3x-3x=6 | | 7/8y+1/7(y-8)=y+1/8 | | 6x+-9=-3x+36 | | 2y+4y=5y+9 | | Y+22+2y=5y | | 11/81=121/x | | y-24=17 | | .06(y-3)+.20=.02y-.03(50) | | 1/3(6y-9)=-2y | | 17=y-24 | | 70/x2 | | 7-4h=19 |

Equations solver categories