2x(x+5)-4(x-3)=20

Simple and best practice solution for 2x(x+5)-4(x-3)=20 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(x+5)-4(x-3)=20 equation: 


Simplifying
2x(x + 5) + -4(x + -3) = 20

Reorder the terms:
2x(5 + x) + -4(x + -3) = 20
(5 * 2x + x * 2x) + -4(x + -3) = 20
(10x + 2x2) + -4(x + -3) = 20

Reorder the terms:
10x + 2x2 + -4(-3 + x) = 20
10x + 2x2 + (-3 * -4 + x * -4) = 20
10x + 2x2 + (12 + -4x) = 20

Reorder the terms:
12 + 10x + -4x + 2x2 = 20

Combine like terms: 10x + -4x = 6x
12 + 6x + 2x2 = 20

Solving
12 + 6x + 2x2 = 20

Solving for variable 'x'.

Reorder the terms:
12 + -20 + 6x + 2x2 = 20 + -20

Combine like terms: 12 + -20 = -8
-8 + 6x + 2x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-8 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3x + x2) = 0

Factor a trinomial.
2((-4 + -1x)(1 + -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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

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

See similar equations:

| 32=48T^2 | | 6m^2+7m=5 | | 4n^2-6n-7=0 | | x^2+4x=4 | | 5x-4=y | | 6x(x-8)=0 | | 3-n+5=9 | | 4-8y=36 | | 2x+10=x+77 | | 8b^2-10b-3=0 | | -3y+5=-7 | | n^2-5n= | | 44=3k-2 | | 383.64=240+x(.57) | | 44=3k-3 | | r^2-5r-24= | | 3x-24=5-(x-2) | | p^2-4p=0 | | 4-6(2-3x)=2x-(4-5x) | | 50.74=x+x(.18) | | a^2+6a-16= | | 3.20+8=78.40 | | 8=27-5x | | 99=3(x-2) | | b^2-17b+70= | | 2*(4z-1)=3*(z+2) | | -7=x+10 | | d^2-16=0 | | y=50(-.8)+160 | | 3.20x+8=70.40 | | 6p-9=57 | | 2x(x+4)=0 |

Equations solver categories