7x^2+14x=2x+4

Simple and best practice solution for 7x^2+14x=2x+4 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^2+14x=2x+4 equation: 


Simplifying
7x2 + 14x = 2x + 4

Reorder the terms:
14x + 7x2 = 2x + 4

Reorder the terms:
14x + 7x2 = 4 + 2x

Solving
14x + 7x2 = 4 + 2x

Solving for variable 'x'.

Reorder the terms:
-4 + 14x + -2x + 7x2 = 4 + 2x + -4 + -2x

Combine like terms: 14x + -2x = 12x
-4 + 12x + 7x2 = 4 + 2x + -4 + -2x

Reorder the terms:
-4 + 12x + 7x2 = 4 + -4 + 2x + -2x

Combine like terms: 4 + -4 = 0
-4 + 12x + 7x2 = 0 + 2x + -2x
-4 + 12x + 7x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 12x + 7x2 = 0

Factor a trinomial.
(-2 + -1x)(2 + -7x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-2, 0.2857142857}

See similar equations:

| Y+6=-5x | | -26+2x=-6 | | 3(x+3)=9-2x | | 43+x=90 | | Y+1=0.6(x-5) | | 4x^3*-3x^2= | | 7x+4+3x+9=180 | | lnx+ln(x+8)=1 | | Y-2=0.5(x-1) | | 3x+2+4x-3=90 | | 2x^2+3y^2+8x-18y+35=0 | | 3/2*n=57 | | Y-5=-1(x-4) | | 4(3x+x)+7-5x=88+(-5)(5x-6x)+23 | | -x^2+8x+58=14 | | -5-2(1-4v)=34 | | 1=10cos(5x+1)-4 | | y=-4.5x^2+2 | | 6(x*x)+17x=3 | | Lnx=2.7 | | 5(x-2)-4=2(x+3)-11 | | 0.12x+0.3=3(0.17x-1.07) | | -6y-4(6y-6)=1-1(1-y) | | 30(8x(-6)+4)= | | 6-3(x-5)=7-10x | | 4m-7m=18-m | | 9x-1=2+11 | | 3/4*x=18 | | -20(5u-4v+9w)= | | 5/9*x=10 | | -6-4x+4-x= | | .3333333333333x+1=2 |

Equations solver categories