x^2+24x-10=0

Simple and best practice solution for x^2+24x-10=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+24x-10=0 equation: 


Simplifying
x2 + 24x + -10 = 0

Reorder the terms:
-10 + 24x + x2 = 0

Solving
-10 + 24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 24x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + 24x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 24x + x2 = 0 + 10
24x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
24x + x2 = 10

The x term is 24x.  Take half its coefficient (12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
24x + 144 + x2 = 10 + 144

Reorder the terms:
144 + 24x + x2 = 10 + 144

Combine like terms: 10 + 144 = 154
144 + 24x + x2 = 154

Factor a perfect square on the left side:
(x + 12)(x + 12) = 154

Calculate the square root of the right side: 12.409673646

Break this problem into two subproblems by setting 
(x + 12) equal to 12.409673646 and -12.409673646.


Subproblem 1
x + 12 = 12.409673646

Simplifying
x + 12 = 12.409673646

Reorder the terms:
12 + x = 12.409673646

Solving
12 + x = 12.409673646

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + x = 12.409673646 + -12

Combine like terms: 12 + -12 = 0
0 + x = 12.409673646 + -12
x = 12.409673646 + -12

Combine like terms: 12.409673646 + -12 = 0.409673646
x = 0.409673646

Simplifying
x = 0.409673646


Subproblem 2
x + 12 = -12.409673646

Simplifying
x + 12 = -12.409673646

Reorder the terms:
12 + x = -12.409673646

Solving
12 + x = -12.409673646

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + x = -12.409673646 + -12

Combine like terms: 12 + -12 = 0
0 + x = -12.409673646 + -12
x = -12.409673646 + -12

Combine like terms: -12.409673646 + -12 = -24.409673646
x = -24.409673646

Simplifying
x = -24.409673646


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.409673646, -24.409673646}

See similar equations:

| x^2-10x-56=0 | | 3v+6=-3 | | 4a+2b+2c=14 | | 2x+2y=28 | | x+6= | | (4x^2+5)-(2x^2-6)+(4x^2-10x)= | | 4x-23=3x+18 | | x^2+16x+64= | | 3t^2+t+0=0 | | 3t^2+1t+0=0 | | 6x^2-53x+40= | | 2a^2+17a+36=0 | | 4x^2-25x-56= | | -1+4y=y+5 | | X+1=4y | | 4y-1=y+5 | | 4r^2+23r+28=0 | | 16n-6+3n+9=79 | | 4x^2+33x+35= | | c+2c+12=75 | | 2n+6+7n+4=100 | | 6y+1=-11 | | -1y=-4 | | (4m^2)(5m^4)= | | -7x-8=-36 | | 8-7b=-6b+9 | | (2x+9)(2x-9)= | | (2x-7)(x-4)= | | -3a=9 | | 27*2= | | 23*23*23= | | 23*3= |

Equations solver categories