(x-8)(x+14)+1=(x+3)(x+2)

Simple and best practice solution for (x-8)(x+14)+1=(x+3)(x+2) 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-8)(x+14)+1=(x+3)(x+2) equation: 


Simplifying
(x + -8)(x + 14) + 1 = (x + 3)(x + 2)

Reorder the terms:
(-8 + x)(x + 14) + 1 = (x + 3)(x + 2)

Reorder the terms:
(-8 + x)(14 + x) + 1 = (x + 3)(x + 2)

Multiply (-8 + x) * (14 + x)
(-8(14 + x) + x(14 + x)) + 1 = (x + 3)(x + 2)
((14 * -8 + x * -8) + x(14 + x)) + 1 = (x + 3)(x + 2)
((-112 + -8x) + x(14 + x)) + 1 = (x + 3)(x + 2)
(-112 + -8x + (14 * x + x * x)) + 1 = (x + 3)(x + 2)
(-112 + -8x + (14x + x2)) + 1 = (x + 3)(x + 2)

Combine like terms: -8x + 14x = 6x
(-112 + 6x + x2) + 1 = (x + 3)(x + 2)

Reorder the terms:
-112 + 1 + 6x + x2 = (x + 3)(x + 2)

Combine like terms: -112 + 1 = -111
-111 + 6x + x2 = (x + 3)(x + 2)

Reorder the terms:
-111 + 6x + x2 = (3 + x)(x + 2)

Reorder the terms:
-111 + 6x + x2 = (3 + x)(2 + x)

Multiply (3 + x) * (2 + x)
-111 + 6x + x2 = (3(2 + x) + x(2 + x))
-111 + 6x + x2 = ((2 * 3 + x * 3) + x(2 + x))
-111 + 6x + x2 = ((6 + 3x) + x(2 + x))
-111 + 6x + x2 = (6 + 3x + (2 * x + x * x))
-111 + 6x + x2 = (6 + 3x + (2x + x2))

Combine like terms: 3x + 2x = 5x
-111 + 6x + x2 = (6 + 5x + x2)

Add '-1x2' to each side of the equation.
-111 + 6x + x2 + -1x2 = 6 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-111 + 6x + 0 = 6 + 5x + x2 + -1x2
-111 + 6x = 6 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-111 + 6x = 6 + 5x + 0
-111 + 6x = 6 + 5x

Solving
-111 + 6x = 6 + 5x

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.
-111 + 6x + -5x = 6 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-111 + 1x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-111 + 1x = 6 + 0
-111 + 1x = 6

Add '111' to each side of the equation.
-111 + 111 + 1x = 6 + 111

Combine like terms: -111 + 111 = 0
0 + 1x = 6 + 111
1x = 6 + 111

Combine like terms: 6 + 111 = 117
1x = 117

Divide each side by '1'.
x = 117

Simplifying
x = 117

See similar equations:

| 3(x+7)=33 | | z^2-12+27=0 | | 2u-6=-20 | | 5v^3+6v^2+25v+30=0 | | 25-3(x)=29 | | -y^2+y+1=0 | | 25-3x=29 | | t^2-30t-30=0 | | 21-x-4= | | 4x^5-28x^4+49x^3=0 | | -3y=x-5 | | 10u^6-15u^5-45u^4=0 | | (x+2)(2x-6)=0 | | 12v^4+44v^3+40v^2=0 | | P=a^2+a-1 | | x-3y-z=-8 | | 0.3x+0.7x-0.4= | | v^6-3v^5+10v^4=0 | | x=y^25 | | 0.3x+0.7x-0.4x= | | 5y-4z=-2 | | b=8cm | | 10y-4z=8 | | AC=12x-18 | | BC=5x-8 | | AB=4x+14 | | AB+BC=AC | | s(2n-3)=-30 | | 7w^5+28w^4+28w^3=0 | | x=5x^2-3 | | x^3-6x^2+5x+12=0 | | a^2-a+6=0 |

Equations solver categories