(X-5)(x+4)=(x-2)(x+10)

Simple and best practice solution for (X-5)(x+4)=(x-2)(x+10) 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-5)(x+4)=(x-2)(x+10) equation: 


Simplifying
(X + -5)(x + 4) = (x + -2)(x + 10)

Reorder the terms:
(-5 + X)(x + 4) = (x + -2)(x + 10)

Reorder the terms:
(-5 + X)(4 + x) = (x + -2)(x + 10)

Multiply (-5 + X) * (4 + x)
(-5(4 + x) + X(4 + x)) = (x + -2)(x + 10)
((4 * -5 + x * -5) + X(4 + x)) = (x + -2)(x + 10)
((-20 + -5x) + X(4 + x)) = (x + -2)(x + 10)
(-20 + -5x + (4 * X + x * X)) = (x + -2)(x + 10)
(-20 + -5x + (4X + xX)) = (x + -2)(x + 10)

Reorder the terms:
(-20 + 4X + -5x + xX) = (x + -2)(x + 10)
(-20 + 4X + -5x + xX) = (x + -2)(x + 10)

Reorder the terms:
-20 + 4X + -5x + xX = (-2 + x)(x + 10)

Reorder the terms:
-20 + 4X + -5x + xX = (-2 + x)(10 + x)

Multiply (-2 + x) * (10 + x)
-20 + 4X + -5x + xX = (-2(10 + x) + x(10 + x))
-20 + 4X + -5x + xX = ((10 * -2 + x * -2) + x(10 + x))
-20 + 4X + -5x + xX = ((-20 + -2x) + x(10 + x))
-20 + 4X + -5x + xX = (-20 + -2x + (10 * x + x * x))
-20 + 4X + -5x + xX = (-20 + -2x + (10x + x2))

Combine like terms: -2x + 10x = 8x
-20 + 4X + -5x + xX = (-20 + 8x + x2)

Add '20' to each side of the equation.
-20 + 4X + -5x + 20 + xX = -20 + 8x + 20 + x2

Reorder the terms:
-20 + 20 + 4X + -5x + xX = -20 + 8x + 20 + x2

Combine like terms: -20 + 20 = 0
0 + 4X + -5x + xX = -20 + 8x + 20 + x2
4X + -5x + xX = -20 + 8x + 20 + x2

Reorder the terms:
4X + -5x + xX = -20 + 20 + 8x + x2

Combine like terms: -20 + 20 = 0
4X + -5x + xX = 0 + 8x + x2
4X + -5x + xX = 8x + x2

Solving
4X + -5x + xX = 8x + x2

Solving for variable 'X'.

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

Add '5x' to each side of the equation.
4X + -5x + 5x + xX = 8x + 5x + x2

Combine like terms: -5x + 5x = 0
4X + 0 + xX = 8x + 5x + x2
4X + xX = 8x + 5x + x2

Combine like terms: 8x + 5x = 13x
4X + xX = 13x + x2

Reorder the terms:
4X + -13x + xX + -1x2 = 13x + x2 + -13x + -1x2

Reorder the terms:
4X + -13x + xX + -1x2 = 13x + -13x + x2 + -1x2

Combine like terms: 13x + -13x = 0
4X + -13x + xX + -1x2 = 0 + x2 + -1x2
4X + -13x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4X + -13x + xX + -1x2 = 0

The solution to this equation could not be determined.

See similar equations:

| .8(5x+15)=2.9-(x+3) | | 24x-4y=12 | | 4(5x-3)+5=12493 | | -32+72x=-11x | | 8x+3(300-x)=2000 | | -80*x=160 | | 4x-4+9x+1=140 | | 8*x=162 | | 20-9w=9(15-w) | | 9=4(x-3)-(x-6) | | a+b+4c= | | 6x-6+74=15x-4 | | 4y-2=14y+68 | | 40+x+61=90 | | 30+x+67=90 | | 6x(8-13)4x(1x+1+3)= | | 11x-(3x-5)=77 | | -6x-12y=21 | | 19-5x=-11 | | 8-4*(3-2*m)+2*m= | | 3n^2+10n-125=0 | | v=3.14(.15)(3) | | 8*x^2+4x-2=3 | | 4x+2x+24=36 | | 8c-3(c+5)= | | v^2+14v-39=0 | | 3(2-w)=-5-2w | | m^2-10m-24=0 | | f(2)=9x-11 | | 3x+29.95=38.95 | | 7x+11y=228 | | f(x)=9x-11 |

Equations solver categories