(2-x)*(x+4)=-4(x-18)

Simple and best practice solution for (2-x)*(x+4)=-4(x-18) 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-x)*(x+4)=-4(x-18) equation:


Simplifying
(2 + -1x)(x + 4) = -4(x + -18)

Reorder the terms:
(2 + -1x)(4 + x) = -4(x + -18)

Multiply (2 + -1x) * (4 + x)
(2(4 + x) + -1x * (4 + x)) = -4(x + -18)
((4 * 2 + x * 2) + -1x * (4 + x)) = -4(x + -18)
((8 + 2x) + -1x * (4 + x)) = -4(x + -18)
(8 + 2x + (4 * -1x + x * -1x)) = -4(x + -18)
(8 + 2x + (-4x + -1x2)) = -4(x + -18)

Combine like terms: 2x + -4x = -2x
(8 + -2x + -1x2) = -4(x + -18)

Reorder the terms:
8 + -2x + -1x2 = -4(-18 + x)
8 + -2x + -1x2 = (-18 * -4 + x * -4)
8 + -2x + -1x2 = (72 + -4x)

Solving
8 + -2x + -1x2 = 72 + -4x

Solving for variable 'x'.

Reorder the terms:
8 + -72 + -2x + 4x + -1x2 = 72 + -4x + -72 + 4x

Combine like terms: 8 + -72 = -64
-64 + -2x + 4x + -1x2 = 72 + -4x + -72 + 4x

Combine like terms: -2x + 4x = 2x
-64 + 2x + -1x2 = 72 + -4x + -72 + 4x

Reorder the terms:
-64 + 2x + -1x2 = 72 + -72 + -4x + 4x

Combine like terms: 72 + -72 = 0
-64 + 2x + -1x2 = 0 + -4x + 4x
-64 + 2x + -1x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-64 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
64 + -2x + x2 = 0

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -2x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + -2x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -2x + x2 = 0 + -64
-2x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
-2x + x2 = -64

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -64 + 1

Reorder the terms:
1 + -2x + x2 = -64 + 1

Combine like terms: -64 + 1 = -63
1 + -2x + x2 = -63

Factor a perfect square on the left side:
(x + -1)(x + -1) = -63

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x^3=4-4i | | 255-3(130-3x)=105-3x | | 24+5x=-4+3x | | xsquared+16x+55=0 | | 3a+8=9a+4 | | 2sin^2x+7cosx=8 | | 4f(x)=2(4f)(x)+1 | | 16+8x=47-3x | | 2x^2+21x-5.7=0 | | 2(x-20)=15 | | 13-7x+3x=-6-5x+3 | | 13x+2y=407 | | 9a-5*a=7 | | 132=c-(249) | | 132=(-249) | | 11x=3600+6x | | 2x+10y=34 | | (x)(x)-11x-80=0 | | 3x+7=x+41 | | 24x+10x+1=0 | | Lnx(Lnx-4)=0 | | X-.35x=50000 | | 4p^2-8p+578=0 | | 3x+5+7x-10=90 | | x^3-1.413*x^2+0.013=0 | | 2(5y+6)=82 | | log[7](4)-log[7](3x)= | | 0=4b^2-76b+16 | | 4x+6=5-3x | | 0=4b^2-200b+16 | | x^2+5mx+16=0 | | 0=4b^2-96b+16 |

Equations solver categories