4x+2=(2x+1)(x-5)

Simple and best practice solution for 4x+2=(2x+1)(x-5) 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 4x+2=(2x+1)(x-5) equation: 


Simplifying
4x + 2 = (2x + 1)(x + -5)

Reorder the terms:
2 + 4x = (2x + 1)(x + -5)

Reorder the terms:
2 + 4x = (1 + 2x)(x + -5)

Reorder the terms:
2 + 4x = (1 + 2x)(-5 + x)

Multiply (1 + 2x) * (-5 + x)
2 + 4x = (1(-5 + x) + 2x * (-5 + x))
2 + 4x = ((-5 * 1 + x * 1) + 2x * (-5 + x))
2 + 4x = ((-5 + 1x) + 2x * (-5 + x))
2 + 4x = (-5 + 1x + (-5 * 2x + x * 2x))
2 + 4x = (-5 + 1x + (-10x + 2x2))

Combine like terms: 1x + -10x = -9x
2 + 4x = (-5 + -9x + 2x2)

Solving
2 + 4x = -5 + -9x + 2x2

Solving for variable 'x'.

Reorder the terms:
2 + 5 + 4x + 9x + -2x2 = -5 + -9x + 2x2 + 5 + 9x + -2x2

Combine like terms: 2 + 5 = 7
7 + 4x + 9x + -2x2 = -5 + -9x + 2x2 + 5 + 9x + -2x2

Combine like terms: 4x + 9x = 13x
7 + 13x + -2x2 = -5 + -9x + 2x2 + 5 + 9x + -2x2

Reorder the terms:
7 + 13x + -2x2 = -5 + 5 + -9x + 9x + 2x2 + -2x2

Combine like terms: -5 + 5 = 0
7 + 13x + -2x2 = 0 + -9x + 9x + 2x2 + -2x2
7 + 13x + -2x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
7 + 13x + -2x2 = 0 + 2x2 + -2x2
7 + 13x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + 13x + -2x2 = 0

Factor a trinomial.
(7 + -1x)(1 + 2x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {7, -0.5}

See similar equations:

| 2-5x=7x-12 | | 12x+10x-5=39 | | 7+66x=44x+25 | | 6x+1=3(2x-4) | | 3x+x+3x+x=48 | | 3936=20p+48 | | n(100)=25 | | 2x^2+22x-84=0 | | 2a+12b=-21 | | x+x+2+x+3+x+4+x+5=195 | | -5(2x-4)+13=-47 | | 4x+2(2x)=28 | | 5x-1=10x-11 | | 4x+14=13x-2x+7 | | n+24=86 | | -44-(2y-2)=3(y-2)+4y | | 2x^2+11-21=0 | | 31=4x+3(x+1) | | 2x-15=x-160 | | 57=2x-7 | | 7x(x+6)=112 | | 2x+2.5-x+5.8=1.3 | | 4x+x-10+70=180 | | 4+2/3x=22 | | 14-5x=5-8x | | 5(4x-10)=8x-14 | | 52=8g-4+2(g-2) | | 2x+8=-32-6x | | 3(4y-2)=6+2(5y+1) | | 22-x=-7 | | 6*x*(x+1)(x+2)(x+3)-x*(x+1)(x+2)=120 | | f(x)=x^2-22x+121 |

Equations solver categories