x^2+10x-528=0

Simple and best practice solution for x^2+10x-528=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-528=0 equation:


Simplifying
x2 + 10x + -528 = 0

Reorder the terms:
-528 + 10x + x2 = 0

Solving
-528 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '528' to each side of the equation.
-528 + 10x + 528 + x2 = 0 + 528

Reorder the terms:
-528 + 528 + 10x + x2 = 0 + 528

Combine like terms: -528 + 528 = 0
0 + 10x + x2 = 0 + 528
10x + x2 = 0 + 528

Combine like terms: 0 + 528 = 528
10x + x2 = 528

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 = 528 + 25

Reorder the terms:
25 + 10x + x2 = 528 + 25

Combine like terms: 528 + 25 = 553
25 + 10x + x2 = 553

Factor a perfect square on the left side:
(x + 5)(x + 5) = 553

Calculate the square root of the right side: 23.515952033

Break this problem into two subproblems by setting 
(x + 5) equal to 23.515952033 and -23.515952033.

Subproblem 1

x + 5 = 23.515952033 Simplifying x + 5 = 23.515952033 Reorder the terms: 5 + x = 23.515952033 Solving 5 + x = 23.515952033 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 = 23.515952033 + -5 Combine like terms: 5 + -5 = 0 0 + x = 23.515952033 + -5 x = 23.515952033 + -5 Combine like terms: 23.515952033 + -5 = 18.515952033 x = 18.515952033 Simplifying x = 18.515952033

Subproblem 2

x + 5 = -23.515952033 Simplifying x + 5 = -23.515952033 Reorder the terms: 5 + x = -23.515952033 Solving 5 + x = -23.515952033 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 = -23.515952033 + -5 Combine like terms: 5 + -5 = 0 0 + x = -23.515952033 + -5 x = -23.515952033 + -5 Combine like terms: -23.515952033 + -5 = -28.515952033 x = -28.515952033 Simplifying x = -28.515952033

Solution

The solution to the problem is based on the solutions from the subproblems. x = {18.515952033, -28.515952033}

See similar equations:

| -4n(2n-5)=8n-20 | | 5(c-7)=-45 | | h-9/3=6 | | a/b=2 | | 4x-2+3x+7=180 | | D/5+4=17 | | 0=2x^3+20x-63 | | 4x-15=6x+27 | | y=(9.776*3)+.067822 | | x*x+6x+10=0 | | 7x+9=5x-21 | | 1/5+(-4/5) | | m+n=10 | | 50x8/19x2-25+3-5 | | 25-4/10x-25=0 | | 20x-25=3x+9 | | (z+2)/(z-3)=5/-3 | | 6x+20=-10 | | 7=2x^3+20x-70 | | 2x^2+2x=30 | | 0.50x-0.40(30+x)=-0.30(30) | | 5.68-4.76x-1.4x=29.088 | | 3h-1=14 | | 10n=0 | | 6.6z-5.6z+9.8=8.2+3.3 | | 9x-27=-18 | | 78174859= | | 4x^3+2x^2-36x-18=0 | | 78=174859 | | x(x+10)=0 | | 11z-10z+19=-8 | | -5a=10 |

Equations solver categories