x^2+7x-77=0

Simple and best practice solution for x^2+7x-77=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+7x-77=0 equation:


Simplifying
x2 + 7x + -77 = 0

Reorder the terms:
-77 + 7x + x2 = 0

Solving
-77 + 7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '77' to each side of the equation.
-77 + 7x + 77 + x2 = 0 + 77

Reorder the terms:
-77 + 77 + 7x + x2 = 0 + 77

Combine like terms: -77 + 77 = 0
0 + 7x + x2 = 0 + 77
7x + x2 = 0 + 77

Combine like terms: 0 + 77 = 77
7x + x2 = 77

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = 77 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 77 + 12.25

Combine like terms: 77 + 12.25 = 89.25
12.25 + 7x + x2 = 89.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 89.25

Calculate the square root of the right side: 9.447221814

Break this problem into two subproblems by setting 
(x + 3.5) equal to 9.447221814 and -9.447221814.

Subproblem 1

x + 3.5 = 9.447221814 Simplifying x + 3.5 = 9.447221814 Reorder the terms: 3.5 + x = 9.447221814 Solving 3.5 + x = 9.447221814 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 9.447221814 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 9.447221814 + -3.5 x = 9.447221814 + -3.5 Combine like terms: 9.447221814 + -3.5 = 5.947221814 x = 5.947221814 Simplifying x = 5.947221814

Subproblem 2

x + 3.5 = -9.447221814 Simplifying x + 3.5 = -9.447221814 Reorder the terms: 3.5 + x = -9.447221814 Solving 3.5 + x = -9.447221814 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -9.447221814 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -9.447221814 + -3.5 x = -9.447221814 + -3.5 Combine like terms: -9.447221814 + -3.5 = -12.947221814 x = -12.947221814 Simplifying x = -12.947221814

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.947221814, -12.947221814}

See similar equations:

| y=-3[2x-1] | | 2x+36=-42.25 | | 3+a=-9 | | A^2-30a+c=0 | | 10÷1/3 | | 4=-6-5/4n | | 12-9m=-70 | | 7.08x+.93y=33 | | 6/7-1/2x | | 2w-4+w=70 | | 2(x-4)=3x+15 | | 2w-4+w=40 | | x-27=2y | | -6.2x-12.5y=1 | | F=32.25(T) | | x^2-9x-27=4 | | -1.4x+3y=21 | | W+40+W=6000 | | 48x3/5 | | (2x)(3x+3-1)+2=5x+3 | | M+9=17.81 | | W+40+W=60 | | -4.8(x-2.75)=14.4 | | 7a=90 | | 2x+5y=127 | | 2x-4=3x+15 | | y=x^2-2x-30 | | 6x(x-2)=180 | | m-13.43=4.57 | | 0-15y=132 | | .56x+.78y=-910 | | 4+x=3(x+20) |

Equations solver categories