x^2+10x-220=0

Simple and best practice solution for x^2+10x-220=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+10x-220=0 equation:


Simplifying
x2 + 10x + -220 = 0

Reorder the terms:
-220 + 10x + x2 = 0

Solving
-220 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '220' to each side of the equation.
-220 + 10x + 220 + x2 = 0 + 220

Reorder the terms:
-220 + 220 + 10x + x2 = 0 + 220

Combine like terms: -220 + 220 = 0
0 + 10x + x2 = 0 + 220
10x + x2 = 0 + 220

Combine like terms: 0 + 220 = 220
10x + x2 = 220

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 220 + 25

Reorder the terms:
25 + 10x + x2 = 220 + 25

Combine like terms: 220 + 25 = 245
25 + 10x + x2 = 245

Factor a perfect square on the left side:
(x + 5)(x + 5) = 245

Calculate the square root of the right side: 15.652475842

Break this problem into two subproblems by setting 
(x + 5) equal to 15.652475842 and -15.652475842.

Subproblem 1

x + 5 = 15.652475842 Simplifying x + 5 = 15.652475842 Reorder the terms: 5 + x = 15.652475842 Solving 5 + x = 15.652475842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 15.652475842 + -5 Combine like terms: 5 + -5 = 0 0 + x = 15.652475842 + -5 x = 15.652475842 + -5 Combine like terms: 15.652475842 + -5 = 10.652475842 x = 10.652475842 Simplifying x = 10.652475842

Subproblem 2

x + 5 = -15.652475842 Simplifying x + 5 = -15.652475842 Reorder the terms: 5 + x = -15.652475842 Solving 5 + x = -15.652475842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = -15.652475842 + -5 Combine like terms: 5 + -5 = 0 0 + x = -15.652475842 + -5 x = -15.652475842 + -5 Combine like terms: -15.652475842 + -5 = -20.652475842 x = -20.652475842 Simplifying x = -20.652475842

Solution

The solution to the problem is based on the solutions from the subproblems. x = {10.652475842, -20.652475842}

See similar equations:

| x^2-40x+336=0 | | -5(4-8)+2(2+10)= | | (8n-6)=(4m-2) | | 0.30+.05(8-x)=.10(-16) | | 5x+23(x-2)=122 | | 49x^2-42x-72=0 | | x+y=710 | | 7-2X=X-8 | | 0.30+.05(8-x)=.10(16) | | x/y=0.9612 | | 4/5(-20/1)-5 | | 35X+17=11X+41 | | 24+4x=180 | | (16+3x)/4=37 | | (16+3x)/4 | | A/2+5=18 | | .2(y+1)-.9(y+3)=8 | | 5=t/2-3 | | 1/2(y-2)=2/3(2y-5) | | (-2x^3y)(x^5y^3)= | | 9.1a+4=4.3a+28 | | -3.6p+1.4=-.4(8p-9) | | x+10(46-x)=163 | | .13q+6-.6q=.33q-.4 | | .13q+6-.6q=.33q-4 | | .4x+.8=-3.6-.7x | | 3y+6-5= | | 9(x+4)=54 | | .45(c-10)+.55(c+4)=1.7 | | .25(50)+.05c=.15(50+c) | | 6x^2+27+27=0 | | 13x^2-40=0 |

Equations solver categories