x^2+16x-56=0

Simple and best practice solution for x^2+16x-56=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+16x-56=0 equation:


Simplifying
x2 + 16x + -56 = 0

Reorder the terms:
-56 + 16x + x2 = 0

Solving
-56 + 16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '56' to each side of the equation.
-56 + 16x + 56 + x2 = 0 + 56

Reorder the terms:
-56 + 56 + 16x + x2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 16x + x2 = 0 + 56
16x + x2 = 0 + 56

Combine like terms: 0 + 56 = 56
16x + x2 = 56

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = 56 + 64

Reorder the terms:
64 + 16x + x2 = 56 + 64

Combine like terms: 56 + 64 = 120
64 + 16x + x2 = 120

Factor a perfect square on the left side:
(x + 8)(x + 8) = 120

Calculate the square root of the right side: 10.95445115

Break this problem into two subproblems by setting 
(x + 8) equal to 10.95445115 and -10.95445115.

Subproblem 1

x + 8 = 10.95445115 Simplifying x + 8 = 10.95445115 Reorder the terms: 8 + x = 10.95445115 Solving 8 + x = 10.95445115 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 10.95445115 + -8 Combine like terms: 8 + -8 = 0 0 + x = 10.95445115 + -8 x = 10.95445115 + -8 Combine like terms: 10.95445115 + -8 = 2.95445115 x = 2.95445115 Simplifying x = 2.95445115

Subproblem 2

x + 8 = -10.95445115 Simplifying x + 8 = -10.95445115 Reorder the terms: 8 + x = -10.95445115 Solving 8 + x = -10.95445115 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = -10.95445115 + -8 Combine like terms: 8 + -8 = 0 0 + x = -10.95445115 + -8 x = -10.95445115 + -8 Combine like terms: -10.95445115 + -8 = -18.95445115 x = -18.95445115 Simplifying x = -18.95445115

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.95445115, -18.95445115}

See similar equations:

| t^2-14t-21=0 | | 4x^2+16x-56=0 | | x(.16)=25000 | | 5x-5-(3x+4)= | | 6x^2+16x-56=0 | | 3x+4-(5x-5)= | | 15a^2-10ab-25b^2= | | 3x+0.1x+0.5x+0.05x=4 | | 6.5-2x=-15 | | 1/4(16-12x)-4=1/5(5x-10)-18 | | (3x+4)(5x-5)= | | 1/3(3x-9)-1/2(4-2x)=4-2(X-8) | | 5x+45=8-7x | | x=(3x-1)(x+3) | | 3+5=32 | | 7/12=X | | 3x+4-5x-3= | | 5x+4y=(-20) | | (5x+7x)+10= | | 3x+4+5x-5= | | 4a-2b=4 | | 2*x^2-5*y-3=0 | | 5(3x-2)+4(x+3)=8-5x | | 4z/9-7=6 | | 9x+70= | | 33x+70= | | 21x+58= | | 4S+S=190 | | -4(x-2)=10 | | 0.1ln(200)+0.9ln(400)= | | 8x^2+15x+2=0 | | f(x)=3-7x-8x^3 |

Equations solver categories