x^2-30x+160=0

Simple and best practice solution for x^2-30x+160=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^2-30x+160=0 equation: 


Simplifying
x2 + -30x + 160 = 0

Reorder the terms:
160 + -30x + x2 = 0

Solving
160 + -30x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-160' to each side of the equation.
160 + -30x + -160 + x2 = 0 + -160

Reorder the terms:
160 + -160 + -30x + x2 = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -30x + x2 = 0 + -160
-30x + x2 = 0 + -160

Combine like terms: 0 + -160 = -160
-30x + x2 = -160

The x term is -30x.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30x + 225 + x2 = -160 + 225

Reorder the terms:
225 + -30x + x2 = -160 + 225

Combine like terms: -160 + 225 = 65
225 + -30x + x2 = 65

Factor a perfect square on the left side:
(x + -15)(x + -15) = 65

Calculate the square root of the right side: 8.062257748

Break this problem into two subproblems by setting 
(x + -15) equal to 8.062257748 and -8.062257748.


Subproblem 1
x + -15 = 8.062257748

Simplifying
x + -15 = 8.062257748

Reorder the terms:
-15 + x = 8.062257748

Solving
-15 + x = 8.062257748

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + x = 8.062257748 + 15

Combine like terms: -15 + 15 = 0
0 + x = 8.062257748 + 15
x = 8.062257748 + 15

Combine like terms: 8.062257748 + 15 = 23.062257748
x = 23.062257748

Simplifying
x = 23.062257748


Subproblem 2
x + -15 = -8.062257748

Simplifying
x + -15 = -8.062257748

Reorder the terms:
-15 + x = -8.062257748

Solving
-15 + x = -8.062257748

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + x = -8.062257748 + 15

Combine like terms: -15 + 15 = 0
0 + x = -8.062257748 + 15
x = -8.062257748 + 15

Combine like terms: -8.062257748 + 15 = 6.937742252
x = 6.937742252

Simplifying
x = 6.937742252


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {23.062257748, 6.937742252}

See similar equations:

| -6-x=-(x+4) | | -4b(-5+26)=10 | | 5b(b+6)=0 | | -2y/3-4 | | -6(8r+10)+2(10r+6)= | | -5(8a+5)=-185 | | 1/7/5/21= | | 11-8(1/2--4)= | | m^2=-9m | | (4x-3y-3)+(8x+9y-12)= | | -x+7=o | | -x-7x=-24 | | 3a+2-5=-14 | | 10-5v=104 | | (3x+2y)+(8x+9y)= | | -5a^2+18a-6+7a^2-21a+5= | | 2a+12=-2(-a-6) | | 2(4x+8)=-44+36 | | 9x-6=111 | | 5x-6=46 | | 8(3-7x)=-144 | | 4y=-4x+16 | | 6x^2-4x+8-3x^2+9x-14= | | 0=-8r-7+r | | -r+8(-5r-2)= | | 7x-7=x-3 | | xy-y-3xy+7y= | | 0.40x+0.60(20)=0.20(34) | | X^2+32-2x=12x | | 2/5-6/5x=7/5 | | 2a^2+3a-4a^2-6a= | | p^2=5p+66 |

Equations solver categories