x^2+14x-47=0

Simple and best practice solution for x^2+14x-47=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+14x-47=0 equation: 


Simplifying
x2 + 14x + -47 = 0

Reorder the terms:
-47 + 14x + x2 = 0

Solving
-47 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '47' to each side of the equation.
-47 + 14x + 47 + x2 = 0 + 47

Reorder the terms:
-47 + 47 + 14x + x2 = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 14x + x2 = 0 + 47
14x + x2 = 0 + 47

Combine like terms: 0 + 47 = 47
14x + x2 = 47

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = 47 + 49

Reorder the terms:
49 + 14x + x2 = 47 + 49

Combine like terms: 47 + 49 = 96
49 + 14x + x2 = 96

Factor a perfect square on the left side:
(x + 7)(x + 7) = 96

Calculate the square root of the right side: 9.797958971

Break this problem into two subproblems by setting 
(x + 7) equal to 9.797958971 and -9.797958971.


Subproblem 1
x + 7 = 9.797958971

Simplifying
x + 7 = 9.797958971

Reorder the terms:
7 + x = 9.797958971

Solving
7 + x = 9.797958971

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = 9.797958971 + -7

Combine like terms: 7 + -7 = 0
0 + x = 9.797958971 + -7
x = 9.797958971 + -7

Combine like terms: 9.797958971 + -7 = 2.797958971
x = 2.797958971

Simplifying
x = 2.797958971


Subproblem 2
x + 7 = -9.797958971

Simplifying
x + 7 = -9.797958971

Reorder the terms:
7 + x = -9.797958971

Solving
7 + x = -9.797958971

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = -9.797958971 + -7

Combine like terms: 7 + -7 = 0
0 + x = -9.797958971 + -7
x = -9.797958971 + -7

Combine like terms: -9.797958971 + -7 = -16.797958971
x = -16.797958971

Simplifying
x = -16.797958971


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.797958971, -16.797958971}

See similar equations:

| -sin(2x)=(2*cos(2*x)) | | -7w+2(w+7)=24 | | 6x+183=2x+143 | | 64X^2-16X+3=0 | | -q/4+3=18 | | sin(2x)=(2*cos(2*x)) | | 3x-5y-1=0 | | 4[n-2(3n+5)]=32 | | 6x+3=4x+39 | | 7x+40=2x+75 | | 22x-3=4 | | 12000=x-21 | | 5(4-6p)=-14+4p | | 2x^2+x=19 | | 6x+49=4x+81 | | 7(3x-2)-2(2x+1)=2+5x | | x^2+17x+31= | | 7j-6=30 | | 2(3g+2)=.50(12g+8) | | 2(x+3)+2x=78 | | 11-2n=15 | | x^2+y^2=4 | | 90-x+3(180-x)=242 | | -6+4(x+3)=26 | | 0.3(w+10)=1.8w | | 5+-0.666666667a=0.4545454545455 | | 8a^2-6a+1=0 | | 3(1-2y)=6y+18 | | 2p+8=12 | | -(-8x-4)+x-7-3x= | | 6x+32=2x+30 | | (X+3)+2x=78 |

Equations solver categories