(X+6)(x-3)=x(x+1)

Simple and best practice solution for (X+6)(x-3)=x(x+1) 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+6)(x-3)=x(x+1) equation:


Simplifying
(X + 6)(x + -3) = x(x + 1)

Reorder the terms:
(6 + X)(x + -3) = x(x + 1)

Reorder the terms:
(6 + X)(-3 + x) = x(x + 1)

Multiply (6 + X) * (-3 + x)
(6(-3 + x) + X(-3 + x)) = x(x + 1)
((-3 * 6 + x * 6) + X(-3 + x)) = x(x + 1)
((-18 + 6x) + X(-3 + x)) = x(x + 1)
(-18 + 6x + (-3 * X + x * X)) = x(x + 1)
(-18 + 6x + (-3X + xX)) = x(x + 1)

Reorder the terms:
(-18 + -3X + 6x + xX) = x(x + 1)
(-18 + -3X + 6x + xX) = x(x + 1)

Reorder the terms:
-18 + -3X + 6x + xX = x(1 + x)
-18 + -3X + 6x + xX = (1 * x + x * x)
-18 + -3X + 6x + xX = (1x + x2)

Solving
-18 + -3X + 6x + xX = 1x + x2

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + -3X + 6x + 18 + xX = 1x + 18 + x2

Reorder the terms:
-18 + 18 + -3X + 6x + xX = 1x + 18 + x2

Combine like terms: -18 + 18 = 0
0 + -3X + 6x + xX = 1x + 18 + x2
-3X + 6x + xX = 1x + 18 + x2

Reorder the terms:
-3X + 6x + xX = 18 + 1x + x2

Add '-6x' to each side of the equation.
-3X + 6x + -6x + xX = 18 + 1x + -6x + x2

Combine like terms: 6x + -6x = 0
-3X + 0 + xX = 18 + 1x + -6x + x2
-3X + xX = 18 + 1x + -6x + x2

Combine like terms: 1x + -6x = -5x
-3X + xX = 18 + -5x + x2

Reorder the terms:
-18 + -3X + 5x + xX + -1x2 = 18 + -5x + x2 + -18 + 5x + -1x2

Reorder the terms:
-18 + -3X + 5x + xX + -1x2 = 18 + -18 + -5x + 5x + x2 + -1x2

Combine like terms: 18 + -18 = 0
-18 + -3X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2
-18 + -3X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-18 + -3X + 5x + xX + -1x2 = 0 + x2 + -1x2
-18 + -3X + 5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + -3X + 5x + xX + -1x2 = 0

The solution to this equation could not be determined.

See similar equations:

| x-9=-5x+5 | | (x)=-2x+5 | | 10-9q+16q= | | s+31=-24 | | 8x+3(3x-7)=28 | | 8(v+1)=2(1-4v)-9 | | 5(8+3a)=-21 | | 19g-9(6g+2)= | | 1.375x+50=128 | | 3(1+4z)=-19 | | 2x+13x+15=0 | | (7x+5)=25-6 | | log(16)(9-n)=log(16)-5n | | 52=6c | | -3x-5=5 | | -4(10z+17)= | | 3a+25=-2a+15 | | -4(v+1)=2(1+2v)-6 | | 2x^2+13x+15=-0 | | x+24=73 | | X^2(2X+1)+9X=X^2(6X+1) | | 6r+7=13+yr | | 93-x=203 | | 12x+24=73 | | 8-9-11m-18m= | | 8-9-11-18m= | | 23=-3(6b+7) | | m+4=24 | | 3.5n+64=42.5 | | 2+5m+16= | | 28y+4=48 | | 42y+36= |

Equations solver categories