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

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


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

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

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

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

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

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

Solving
-1 + 4x = 2 + 5x + 2x2

Solving for variable 'x'.

Reorder the terms:
-1 + -2 + 4x + -5x + -2x2 = 2 + 5x + 2x2 + -2 + -5x + -2x2

Combine like terms: -1 + -2 = -3
-3 + 4x + -5x + -2x2 = 2 + 5x + 2x2 + -2 + -5x + -2x2

Combine like terms: 4x + -5x = -1x
-3 + -1x + -2x2 = 2 + 5x + 2x2 + -2 + -5x + -2x2

Reorder the terms:
-3 + -1x + -2x2 = 2 + -2 + 5x + -5x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-3 + -1x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2
-3 + -1x + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
-3 + -1x + -2x2 = 0 + 2x2 + -2x2
-3 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + -1x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + x + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3 + x + 2x2)' equal to zero and attempt to solve:

Simplifying
3 + x + 2x2 = 0

Solving
3 + x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
1.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.5x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.5x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x + x2 = 0 + -1.5
0.5x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.5x + x2 = -1.5

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.5x + 0.25 + x2 = -1.5 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + 0.5x + x2 = -1.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| -38-7x=18-9x | | 2x+3x+10=54 | | 13b+7=7 | | 12=7b-6-b | | (x+25)+(3x)+x=435 | | 5x-85=43-3x | | W+(-10)=18 | | 6t=4t | | V(x)=x(10-2x)(10-2x) | | 14-2c=18 | | 7.5m=-135 | | 1.4-2g=8.2 | | 19+.13m=.18m | | 10x=48+2x | | 3(4x+2)=21+5x | | 8(-3+4w)= | | 19wo+79=34cop | | (5w-4)w=57 | | -3x^2=-5x+8 | | 6-3v=12 | | 6(1-3p)-1=5(2p+1) | | x-64=24 | | 4(-5-2x)= | | 4(2x+8)=4x+8 | | 4.9t^2+1.5t-60=0 | | 9=8(a+4)+5(1+4a) | | 4(4-1)=36 | | 6(5+2m)+3m= | | -8x+6=2(8+6x) | | 3b*4=24 | | 3(6-j)=-24 | | 3x-7x+9=89 |

Equations solver categories