(2x-1)(x+8)=(x-4)(x+2)

Simple and best practice solution for (2x-1)(x+8)=(x-4)(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 (2x-1)(x+8)=(x-4)(x+2) equation: 


Simplifying
(2x + -1)(x + 8) = (x + -4)(x + 2)

Reorder the terms:
(-1 + 2x)(x + 8) = (x + -4)(x + 2)

Reorder the terms:
(-1 + 2x)(8 + x) = (x + -4)(x + 2)

Multiply (-1 + 2x) * (8 + x)
(-1(8 + x) + 2x * (8 + x)) = (x + -4)(x + 2)
((8 * -1 + x * -1) + 2x * (8 + x)) = (x + -4)(x + 2)
((-8 + -1x) + 2x * (8 + x)) = (x + -4)(x + 2)
(-8 + -1x + (8 * 2x + x * 2x)) = (x + -4)(x + 2)
(-8 + -1x + (16x + 2x2)) = (x + -4)(x + 2)

Combine like terms: -1x + 16x = 15x
(-8 + 15x + 2x2) = (x + -4)(x + 2)

Reorder the terms:
-8 + 15x + 2x2 = (-4 + x)(x + 2)

Reorder the terms:
-8 + 15x + 2x2 = (-4 + x)(2 + x)

Multiply (-4 + x) * (2 + x)
-8 + 15x + 2x2 = (-4(2 + x) + x(2 + x))
-8 + 15x + 2x2 = ((2 * -4 + x * -4) + x(2 + x))
-8 + 15x + 2x2 = ((-8 + -4x) + x(2 + x))
-8 + 15x + 2x2 = (-8 + -4x + (2 * x + x * x))
-8 + 15x + 2x2 = (-8 + -4x + (2x + x2))

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

Add '8' to each side of the equation.
-8 + 15x + 8 + 2x2 = -8 + -2x + 8 + x2

Reorder the terms:
-8 + 8 + 15x + 2x2 = -8 + -2x + 8 + x2

Combine like terms: -8 + 8 = 0
0 + 15x + 2x2 = -8 + -2x + 8 + x2
15x + 2x2 = -8 + -2x + 8 + x2

Reorder the terms:
15x + 2x2 = -8 + 8 + -2x + x2

Combine like terms: -8 + 8 = 0
15x + 2x2 = 0 + -2x + x2
15x + 2x2 = -2x + x2

Solving
15x + 2x2 = -2x + x2

Solving for variable 'x'.

Reorder the terms:
15x + 2x + 2x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 15x + 2x = 17x
17x + 2x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
17x + 1x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
17x + 1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
17x + 1x2 = 0 + x2 + -1x2
17x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
17x + 1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Solution
x = {0, -17}

See similar equations:

| 10-5a=-3a+50 | | F(x)=5x^2-20x+9 | | 8e^5x=7 | | 1+5n+2n=9+7n | | cd+d^2=0 | | 252=5x+x | | -3y+5=-27 | | 3x+5+4x=26 | | 2z^2-13z-24=0 | | 2(2x^2-9x-5)=0 | | 5-a+6(a-2)=5(a+1) | | 8m-12=2m | | .80x+18=-2(3+2x) | | (9x+5)(2x^2-17-9)=0 | | -12+a+8a=3a+8a | | e^3x+4=10 | | 5z^2+6z^5-10z^3=3z^4 | | 6x^2-x^3=0 | | 3x+.68+.68+1.10=10.29 | | f(2)=-3 | | 8-2=-9+7x | | 44+(-x)=X | | -x+2y(x+5y)=8 | | 15-3n=45 | | -5(x+2)=2(2x-15)+x | | 11x-2+94+94+86=360 | | 3m+13+4m+6=5 | | 21z^2+z-2=0 | | (2x)+(2y)-3=18 | | 3+4(x)=5(x)-8 | | (10x-6)+(4x+18)=180 | | 34-2(x-17)=23x-15-3x |

Equations solver categories