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

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


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

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

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

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

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

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

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

Combine like terms: -1x + 8x = 7x
1 + 2x + x2 = (-4 + 7x + 2x2)

Solving
1 + 2x + x2 = -4 + 7x + 2x2

Solving for variable 'x'.

Reorder the terms:
1 + 4 + 2x + -7x + x2 + -2x2 = -4 + 7x + 2x2 + 4 + -7x + -2x2

Combine like terms: 1 + 4 = 5
5 + 2x + -7x + x2 + -2x2 = -4 + 7x + 2x2 + 4 + -7x + -2x2

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

Combine like terms: x2 + -2x2 = -1x2
5 + -5x + -1x2 = -4 + 7x + 2x2 + 4 + -7x + -2x2

Reorder the terms:
5 + -5x + -1x2 = -4 + 4 + 7x + -7x + 2x2 + -2x2

Combine like terms: -4 + 4 = 0
5 + -5x + -1x2 = 0 + 7x + -7x + 2x2 + -2x2
5 + -5x + -1x2 = 7x + -7x + 2x2 + -2x2

Combine like terms: 7x + -7x = 0
5 + -5x + -1x2 = 0 + 2x2 + -2x2
5 + -5x + -1x2 = 2x2 + -2x2

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-5 + 5x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 5x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 5x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 5x + x2 = 0 + 5
5x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
5x + x2 = 5

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 5 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 5 + 6.25

Combine like terms: 5 + 6.25 = 11.25
6.25 + 5x + x2 = 11.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 11.25

Calculate the square root of the right side: 3.354101966

Break this problem into two subproblems by setting 
(x + 2.5) equal to 3.354101966 and -3.354101966.

Subproblem 1

x + 2.5 = 3.354101966 Simplifying x + 2.5 = 3.354101966 Reorder the terms: 2.5 + x = 3.354101966 Solving 2.5 + x = 3.354101966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 3.354101966 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 3.354101966 + -2.5 x = 3.354101966 + -2.5 Combine like terms: 3.354101966 + -2.5 = 0.854101966 x = 0.854101966 Simplifying x = 0.854101966

Subproblem 2

x + 2.5 = -3.354101966 Simplifying x + 2.5 = -3.354101966 Reorder the terms: 2.5 + x = -3.354101966 Solving 2.5 + x = -3.354101966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -3.354101966 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -3.354101966 + -2.5 x = -3.354101966 + -2.5 Combine like terms: -3.354101966 + -2.5 = -5.854101966 x = -5.854101966 Simplifying x = -5.854101966

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.854101966, -5.854101966}

See similar equations:

| 1(y)=2(3x+7) | | (x+3)(x-1)=x*x+5 | | x=2(x+3)/x+5 | | 9X+7Y=121 | | x*x+4=(x+1)(x+3) | | -6(6)-3y=-12 | | 24(6)=144 | | 24x=144 | | 48x+24y=96 | | 3(-8x-8y)=3(16) | | (x+4)*(x+4)=x(x-14)+5 | | -8(-6x-3y)=-8(-12) | | -6x-3y=-12 | | 6-y=-14 | | (x+4)*2=x(x-14)+5 | | 2*(x+4)=8+2x | | -2x+2y=-4+-2x-2y+-28 | | 3a+5=a/2 | | 2(x+1)-3(2x+1)=7 | | x=14+-1y | | 7x+1=7x+5 | | 2x+4(-6)=6 | | y=-8+2 | | 2x+4(-8+2)=6 | | 7(k-4)=28 | | 72+5t=102 | | 4c+2=6 | | 5e-11=29 | | 2x-(3-x)=5+(x+4) | | 4x-2(3-x)=0 | | 191-4x=41x+21 | | 7x*-7x= |

Equations solver categories