8x^2+58x-644=0

Simple and best practice solution for 8x^2+58x-644=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 8x^2+58x-644=0 equation: 


Simplifying
8x2 + 58x + -644 = 0

Reorder the terms:
-644 + 58x + 8x2 = 0

Solving
-644 + 58x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-322 + 29x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-322 + 29x + 4x2)' equal to zero and attempt to solve:

Simplifying
-322 + 29x + 4x2 = 0

Solving
-322 + 29x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-80.5 + 7.25x + x2 = 0

Move the constant term to the right:

Add '80.5' to each side of the equation.
-80.5 + 7.25x + 80.5 + x2 = 0 + 80.5

Reorder the terms:
-80.5 + 80.5 + 7.25x + x2 = 0 + 80.5

Combine like terms: -80.5 + 80.5 = 0.0
0.0 + 7.25x + x2 = 0 + 80.5
7.25x + x2 = 0 + 80.5

Combine like terms: 0 + 80.5 = 80.5
7.25x + x2 = 80.5

The x term is 7.25x.  Take half its coefficient (3.625).
Square it (13.140625) and add it to both sides.

Add '13.140625' to each side of the equation.
7.25x + 13.140625 + x2 = 80.5 + 13.140625

Reorder the terms:
13.140625 + 7.25x + x2 = 80.5 + 13.140625

Combine like terms: 80.5 + 13.140625 = 93.640625
13.140625 + 7.25x + x2 = 93.640625

Factor a perfect square on the left side:
(x + 3.625)(x + 3.625) = 93.640625

Calculate the square root of the right side: 9.676808616

Break this problem into two subproblems by setting 
(x + 3.625) equal to 9.676808616 and -9.676808616.


Subproblem 1
x + 3.625 = 9.676808616

Simplifying
x + 3.625 = 9.676808616

Reorder the terms:
3.625 + x = 9.676808616

Solving
3.625 + x = 9.676808616

Solving for variable 'x'.

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

Add '-3.625' to each side of the equation.
3.625 + -3.625 + x = 9.676808616 + -3.625

Combine like terms: 3.625 + -3.625 = 0.000
0.000 + x = 9.676808616 + -3.625
x = 9.676808616 + -3.625

Combine like terms: 9.676808616 + -3.625 = 6.051808616
x = 6.051808616

Simplifying
x = 6.051808616


Subproblem 2
x + 3.625 = -9.676808616

Simplifying
x + 3.625 = -9.676808616

Reorder the terms:
3.625 + x = -9.676808616

Solving
3.625 + x = -9.676808616

Solving for variable 'x'.

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

Add '-3.625' to each side of the equation.
3.625 + -3.625 + x = -9.676808616 + -3.625

Combine like terms: 3.625 + -3.625 = 0.000
0.000 + x = -9.676808616 + -3.625
x = -9.676808616 + -3.625

Combine like terms: -9.676808616 + -3.625 = -13.301808616
x = -13.301808616

Simplifying
x = -13.301808616


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.051808616, -13.301808616}
Solution
x = {6.051808616, -13.301808616}

See similar equations:

| 2y+4(3+y)=114 | | 3(x-6)+8=5(x+12)-12 | | 7x(1-8x)= | | 2(a+1)=-6 | | 2(h+4)=h-9 | | .75y+5=-.75y-9 | | 0=2x^2+8x-8 | | y=2x^2+8x-8 | | 2(x+3)+4x=114 | | -9n+4+7b=3b+9 | | x+8+x-8+3x=66 | | 2y+4(y+3)=114 | | (3p+7)=4 | | 6m+8=5m+9 | | 6(x-6)+2=(x+2)-10 | | ce=cd+de | | 8=-12+12(4) | | (x-10)(x-11)=0 | | 3x^2-7y^2-2z^2=42 | | 2.84x+8.54=1.55x+7.15 | | 9-2+14=2-2 | | 6+14m=13m+8 | | 7y+6=4y+20 | | 5(2n+2)=9(5n+4)+2 | | (Q+8)=2 | | 5x*6=15 | | 22x-7-18x+2=14x-3-10x+12 | | 83-4x=14x+17 | | 2.49b+4= | | 3x^4-9x^3+9x^2-6=0 | | 7(2n+1)=8(4n+9)+8 | | 3x+15-9x=17-14x+8x-2 |

Equations solver categories