-2x(x+3)=4(x+6)

Simple and best practice solution for -2x(x+3)=4(x+6) 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+3)=4(x+6) equation: 


Simplifying
-2x(x + 3) = 4(x + 6)

Reorder the terms:
-2x(3 + x) = 4(x + 6)
(3 * -2x + x * -2x) = 4(x + 6)
(-6x + -2x2) = 4(x + 6)

Reorder the terms:
-6x + -2x2 = 4(6 + x)
-6x + -2x2 = (6 * 4 + x * 4)
-6x + -2x2 = (24 + 4x)

Solving
-6x + -2x2 = 24 + 4x

Solving for variable 'x'.

Reorder the terms:
-24 + -6x + -4x + -2x2 = 24 + 4x + -24 + -4x

Combine like terms: -6x + -4x = -10x
-24 + -10x + -2x2 = 24 + 4x + -24 + -4x

Reorder the terms:
-24 + -10x + -2x2 = 24 + -24 + 4x + -4x

Combine like terms: 24 + -24 = 0
-24 + -10x + -2x2 = 0 + 4x + -4x
-24 + -10x + -2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(12 + 5x + x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(12 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
12 + 5x + x2 = 0

Solving
12 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 5x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 5x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x + x2 = 0 + -12
5x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
5x + x2 = -12

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -12 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -12 + 6.25

Combine like terms: -12 + 6.25 = -5.75
6.25 + 5x + x2 = -5.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| .09x+5.1x-7=2(2.5x-3) | | 7e^2=21 | | -4(5+3x)=30-7x | | 6x+2=-4x-28 | | -16t^2+56t+5=0 | | n+7=9math | | -24(3x+5)=8(x+3.5) | | 3(x+1)+1=2(x+5) | | 3+5(2)= | | y=21*5-7 | | c=40x+75 | | 4c^2+6c-3c^2-2c-3= | | 5.6*52= | | -7(-2+0.7142857143m)=-5m | | s(t)=-16t^2+100 | | 4.8*39= | | 3w+7=(14+14) | | 412x+5.2=823 | | 3.3*27= | | -5+v=-4 | | 2+9p=44+2p | | (1-.05)y=18.63 | | x^2-5x-187=0 | | 3a+7b=13 | | y=-16t^2+24t+7 | | 2(3x-1)=4x+8-2 | | 29x+3y=-17 | | 5t-26=10 | | x^2+5.04x-.99792=0 | | -7x-14=-5m | | x(0.5)+0.5=10 | | -3x(-3)-(-6)= |

Equations solver categories