x^2-24x+30=0

Simple and best practice solution for x^2-24x+30=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+30=0 equation:


Simplifying
x2 + -24x + 30 = 0

Reorder the terms:
30 + -24x + x2 = 0

Solving
30 + -24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -24x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + -24x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -24x + x2 = 0 + -30
-24x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
-24x + x2 = -30

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 = -30 + 144

Reorder the terms:
144 + -24x + x2 = -30 + 144

Combine like terms: -30 + 144 = 114
144 + -24x + x2 = 114

Factor a perfect square on the left side:
(x + -12)(x + -12) = 114

Calculate the square root of the right side: 10.677078252

Break this problem into two subproblems by setting 
(x + -12) equal to 10.677078252 and -10.677078252.

Subproblem 1

x + -12 = 10.677078252 Simplifying x + -12 = 10.677078252 Reorder the terms: -12 + x = 10.677078252 Solving -12 + x = 10.677078252 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 = 10.677078252 + 12 Combine like terms: -12 + 12 = 0 0 + x = 10.677078252 + 12 x = 10.677078252 + 12 Combine like terms: 10.677078252 + 12 = 22.677078252 x = 22.677078252 Simplifying x = 22.677078252

Subproblem 2

x + -12 = -10.677078252 Simplifying x + -12 = -10.677078252 Reorder the terms: -12 + x = -10.677078252 Solving -12 + x = -10.677078252 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 = -10.677078252 + 12 Combine like terms: -12 + 12 = 0 0 + x = -10.677078252 + 12 x = -10.677078252 + 12 Combine like terms: -10.677078252 + 12 = 1.322921748 x = 1.322921748 Simplifying x = 1.322921748

Solution

The solution to the problem is based on the solutions from the subproblems. x = {22.677078252, 1.322921748}

See similar equations:

| 4+7+x=18 | | X+91=85 | | 9(a-3)=-9 | | 9(a-27)=-9 | | X+9=85 | | 3x-x-2=0 | | 8y=24x-72 | | x-(.15x)=1000 | | 12x(x^2-24x+1)=0 | | x^2+9x+18=40 | | 3-0.83y=2+0.16y | | 6(5x-9)=-4(6-2x)+2x | | y=(6-9k)x | | x^2-9x=-5 | | 6y+4+8y+6=0 | | 18+19=n+20 | | 8x+3=-2x+11 | | 19.99+0.35m=29.99 | | x+(2x)(3)+(3x-5)+(5x)(1)=252 | | 2p-3=-9 | | z^2-z+56=0 | | x+2x*3+3x-5+5x*1=63 | | 19x-4=7x+8 | | 16=7+3(n) | | -7n+2=16 | | 0.5x+10.9=x-9 | | 1x-2=3(x+3) | | 22+9x=67 | | x^2-26x+161=0 | | 5x-2=4(x+6) | | 10w-3=17 | | 6x+5.6=2(4x-2.2) |

Equations solver categories