2x^2+8x=6x+24

Simple and best practice solution for 2x^2+8x=6x+24 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 2x^2+8x=6x+24 equation: 


Simplifying
2x2 + 8x = 6x + 24

Reorder the terms:
8x + 2x2 = 6x + 24

Reorder the terms:
8x + 2x2 = 24 + 6x

Solving
8x + 2x2 = 24 + 6x

Solving for variable 'x'.

Reorder the terms:
-24 + 8x + -6x + 2x2 = 24 + 6x + -24 + -6x

Combine like terms: 8x + -6x = 2x
-24 + 2x + 2x2 = 24 + 6x + -24 + -6x

Reorder the terms:
-24 + 2x + 2x2 = 24 + -24 + 6x + -6x

Combine like terms: 24 + -24 = 0
-24 + 2x + 2x2 = 0 + 6x + -6x
-24 + 2x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + 2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + x + x2) = 0

Factor a trinomial.
2((-4 + -1x)(3 + -1x)) = 0

Ignore the factor 2.

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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4, 3}

See similar equations:

| 3x+9y=7 | | 8x-4(x+4)=4(2x-4)-4(x-5) | | t(x)=12(1.12) | | 7t-17=-12+6t | | 6x-6y=2 | | 3=7h-14+17 | | a^3-a^2-20a=0 | | -8(v+3)+2v+6=6v+7 | | 6p-22=-12+4p | | n^3+8n^2+15n=0 | | 3a+2h+a+3h= | | -7(v+3)+2v+7=7v+9 | | 4x^2-17x+9=-9x+6 | | 54x-21-6x=17+48x-38 | | 3(y+5)-(3y-5)= | | 27x-13-4x=15+23x-28 | | 3n+15= | | 6x-10x-8x+15+7= | | 12x^2-11x+2=0 | | 6x-10x-8+15=7 | | 9+12n-5=7n+18-2n | | 16x^2-64x-23=0 | | -3(4x-5)+15= | | 34(x-2)= | | 5(w-3)-8w=-30 | | 5-4(3x+6)= | | -6-(-4)= | | 56x^2+15x-54=0 | | (x+5)=8 | | 5n-8=2+3n | | (7x-6)(8x+9)= | | 6z-23=-30+5z |

Equations solver categories