2(2x+4)-24x=4x^2+24

Simple and best practice solution for 2(2x+4)-24x=4x^2+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 2(2x+4)-24x=4x^2+24 equation: 


Simplifying
2(2x + 4) + -24x = 4x2 + 24

Reorder the terms:
2(4 + 2x) + -24x = 4x2 + 24
(4 * 2 + 2x * 2) + -24x = 4x2 + 24
(8 + 4x) + -24x = 4x2 + 24

Combine like terms: 4x + -24x = -20x
8 + -20x = 4x2 + 24

Reorder the terms:
8 + -20x = 24 + 4x2

Solving
8 + -20x = 24 + 4x2

Solving for variable 'x'.

Reorder the terms:
8 + -24 + -20x + -4x2 = 24 + 4x2 + -24 + -4x2

Combine like terms: 8 + -24 = -16
-16 + -20x + -4x2 = 24 + 4x2 + -24 + -4x2

Reorder the terms:
-16 + -20x + -4x2 = 24 + -24 + 4x2 + -4x2

Combine like terms: 24 + -24 = 0
-16 + -20x + -4x2 = 0 + 4x2 + -4x2
-16 + -20x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-16 + -20x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(4 + 5x + x2) = 0

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

Ignore the factor -4.

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-4, -1}

See similar equations:

| 1/8m=9/10 | | 78.5=6.28+r | | 2(2x+4)-24x=4x^2+24 | | 3y+1x=2.7 | | 15-2/3x=5 | | 3y+1x=2.7 | | 3y+1x=2.7 | | 4(x-2)+2=-26 | | 6(-1)+3(-1)=18 | | 100x^2-y^2= | | logx1/8=-4 | | 13x+20-5=41 | | 13x+20-5=41 | | c/7-2=4 | | 3x^3-37x^2+54x+160=0 | | (x+2)(2x-2)=(x+6)(x+4) | | 4(x-2)+2=-26 | | (x^2-4x-7)(x^2-2x+5)=0 | | 15x+3=18x-6 | | 15x+3=18x-6 | | 15x+3=18x-6 | | 15x+3=18x-6 | | 15x+3=18x-6 | | 15x+3=18x-6 | | (x^2-4x-7)(x^2-2x+5)=0 | | 15x+3=18x-6 | | 10(2-x)+4x=4(x-7) | | (x^2-4x-7)(x^2-2x+5)=0 | | (2n^2)+n-6=0 | | 6y^2-37Y+6=0 | | (x+2)(2x-2)=(x+6)(x+4) | | 15x+3=18x-6 |

Equations solver categories