(2X+4)(X-5)=60

Simple and best practice solution for (2X+4)(X-5)=60 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+4)(X-5)=60 equation: 


Simplifying
(2X + 4)(X + -5) = 60

Reorder the terms:
(4 + 2X)(X + -5) = 60

Reorder the terms:
(4 + 2X)(-5 + X) = 60

Multiply (4 + 2X) * (-5 + X)
(4(-5 + X) + 2X * (-5 + X)) = 60
((-5 * 4 + X * 4) + 2X * (-5 + X)) = 60
((-20 + 4X) + 2X * (-5 + X)) = 60
(-20 + 4X + (-5 * 2X + X * 2X)) = 60
(-20 + 4X + (-10X + 2X2)) = 60

Combine like terms: 4X + -10X = -6X
(-20 + -6X + 2X2) = 60

Solving
-20 + -6X + 2X2 = 60

Solving for variable 'X'.

Reorder the terms:
-20 + -60 + -6X + 2X2 = 60 + -60

Combine like terms: -20 + -60 = -80
-80 + -6X + 2X2 = 60 + -60

Combine like terms: 60 + -60 = 0
-80 + -6X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -3X + X2) = 0

Factor a trinomial.
2((-5 + -1X)(8 + -1X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve:

Simplifying
-5 + -1X = 0

Solving
-5 + -1X = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1X = 0 + 5
-1X = 0 + 5

Combine like terms: 0 + 5 = 5
-1X = 5

Divide each side by '-1'.
X = -5

Simplifying
X = -5

Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve:

Simplifying
8 + -1X = 0

Solving
8 + -1X = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X = 0 + -8
-1X = 0 + -8

Combine like terms: 0 + -8 = -8
-1X = -8

Divide each side by '-1'.
X = 8

Simplifying
X = 8
Solution
X = {-5, 8}

See similar equations:

| 0.5(5x+12)=2x-3 | | 10x+5-4x-2= | | 16x+2=5(3x-1)+77 | | 50-2x=80-14x | | X-3(6)=8-5(5x-1) | | 16-(2x+8)-(7-9x)=1+7x | | 33x+99=33x-99 | | 8(x+3)-3=29-6x-8+14x | | -1+4(x-2)=12x+6-8x | | 77-x=88-2x | | 45+42+x=180 | | 5u+8=58 | | 45+42+87=180 | | 77-x+88-2x=180 | | 7y=Y+22 | | -15=3w+6 | | 3x-4y+5z=1 | | 6(x+2)=5(x+7) | | 42c^3-138c^2+36c= | | 33+70+x=180 | | 2.5n+(-3)=(-13) | | Y-3=-1/2|x| | | PKL=7x+34 | | 5y/7-1/14 | | -1.5=0.75x | | 8n-(6n+50)=3 | | 5x+23(x-4)=48 | | 2(2x)(6)=24x | | (3x-1)+4(2-x)=12 | | -2.5p=(10-0.5p) | | a-15=3(a+1)+2 | | 13x+7y=2000 |

Equations solver categories