7x=17+14x+x(x)

Simple and best practice solution for 7x=17+14x+x(x) 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 7x=17+14x+x(x) equation: 


Simplifying
7x = 17 + 14x + x(x)

Multiply x * x
7x = 17 + 14x + x2

Solving
7x = 17 + 14x + x2

Solving for variable 'x'.

Reorder the terms:
-17 + 7x + -14x + -1x2 = 17 + 14x + x2 + -17 + -14x + -1x2

Combine like terms: 7x + -14x = -7x
-17 + -7x + -1x2 = 17 + 14x + x2 + -17 + -14x + -1x2

Reorder the terms:
-17 + -7x + -1x2 = 17 + -17 + 14x + -14x + x2 + -1x2

Combine like terms: 17 + -17 = 0
-17 + -7x + -1x2 = 0 + 14x + -14x + x2 + -1x2
-17 + -7x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
-17 + -7x + -1x2 = 0 + x2 + -1x2
-17 + -7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-17 + -7x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(17 + 7x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(17 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
17 + 7x + x2 = 0

Solving
17 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 7x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 7x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 7x + x2 = 0 + -17
7x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
7x + x2 = -17

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 = -17 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -17 + 12.25

Combine like terms: -17 + 12.25 = -4.75
12.25 + 7x + x2 = -4.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| (44-3p)(p-3)=3 | | x^2-4x-70=0 | | x^5=3+2x^3 | | (44p-3p)(p-3)=3 | | 7x=2x+x^2+3(4x)+17 | | 5p+7-5p=7(p-3) | | x=-5+-1y(60) | | -5x-5y=25(60) | | 3x=4(x-6)+4 | | 4a^2+30a-16=0 | | 4x-3=11x-39 | | 6*21/2 | | 6(21/2) | | 2/5(3) | | 2x(y+1)=x+1 | | y-4x-6=0 | | (7x-6v+3)(5x+2v)= | | 3x+3y+9=0 | | x^2-60x+90=0 | | 2.5x=0.5 | | 5x+8y=19 | | 1/3(10x-2)=4 | | (10x-2)=4 | | 10a+3=4(a-1)+1-1 | | 2x-(y+1)=x+1 | | x+20/2=16 | | 6x+4-[-(3x-7)]=15 | | 6x+4-[-(3x+7)]=15 | | 7(x-8)=(2x-13) | | 26-5y=2(x-3) | | 50k^3-40k^2+75k-60=0 | | (2x+21)-5=16 |

Equations solver categories