(x+3)*(x-5)-6x=-2x*(4+2x)

Simple and best practice solution for (x+3)*(x-5)-6x=-2x*(4+2x) 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 (x+3)*(x-5)-6x=-2x*(4+2x) equation: 


Simplifying
(x + 3)(x + -5) + -6x = -2x(4 + 2x)

Reorder the terms:
(3 + x)(x + -5) + -6x = -2x(4 + 2x)

Reorder the terms:
(3 + x)(-5 + x) + -6x = -2x(4 + 2x)

Multiply (3 + x) * (-5 + x)
(3(-5 + x) + x(-5 + x)) + -6x = -2x(4 + 2x)
((-5 * 3 + x * 3) + x(-5 + x)) + -6x = -2x(4 + 2x)
((-15 + 3x) + x(-5 + x)) + -6x = -2x(4 + 2x)
(-15 + 3x + (-5 * x + x * x)) + -6x = -2x(4 + 2x)
(-15 + 3x + (-5x + x2)) + -6x = -2x(4 + 2x)

Combine like terms: 3x + -5x = -2x
(-15 + -2x + x2) + -6x = -2x(4 + 2x)

Reorder the terms:
-15 + -2x + -6x + x2 = -2x(4 + 2x)

Combine like terms: -2x + -6x = -8x
-15 + -8x + x2 = -2x(4 + 2x)
-15 + -8x + x2 = (4 * -2x + 2x * -2x)
-15 + -8x + x2 = (-8x + -4x2)

Add '8x' to each side of the equation.
-15 + -8x + 8x + x2 = -8x + 8x + -4x2

Combine like terms: -8x + 8x = 0
-15 + 0 + x2 = -8x + 8x + -4x2
-15 + x2 = -8x + 8x + -4x2

Combine like terms: -8x + 8x = 0
-15 + x2 = 0 + -4x2
-15 + x2 = -4x2

Solving
-15 + x2 = -4x2

Solving for variable 'x'.

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

Add '4x2' to each side of the equation.
-15 + x2 + 4x2 = -4x2 + 4x2

Combine like terms: x2 + 4x2 = 5x2
-15 + 5x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-15 + 5x2 = 0

Add '15' to each side of the equation.
-15 + 15 + 5x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5x2 = 0 + 15
5x2 = 0 + 15

Combine like terms: 0 + 15 = 15
5x2 = 15

Divide each side by '5'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

See similar equations:

| 7e+5f-21=7 | | 8+10x=-19+x | | 12.18=x+15 | | 7e+5f-21=6 | | 5x+15=5x-6 | | 2x-7=750 | | 11.5+2x=13 | | n+2=2n+7 | | 71+[5x+(-2x+3)]=25-[-(3x+4)-(4x+3)] | | 7e+5f-21=5 | | 6+4+6+12+2x-1=x+5+x+9+x+8 | | 7e+5f-21=4 | | 8(x-3)+(29x+2)=30 | | (8x+6)(5x+9)=0 | | 5h+6=2(3h+8) | | 7e+5f-21=3 | | y^2+4y-6=0 | | -33(X+3)+5(4x+1)= | | 27-3x=150 | | 4p-p-p-p-p=2p | | y+12=-2(y+1) | | 25x+10x=100 | | 4t+5t=36 | | 7e+5f-21=2 | | x^3-2x^2-17x=0 | | 7e+5f-21=1 | | 6x+3-12=15 | | 5n+3=-9+3n | | 3x+23=4x+19 | | 2[4(x-2)-8x]=x | | 2(x-8)=-3(x+2) | | 7e+5f-21= |

Equations solver categories