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

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


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

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

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

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

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

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

Remove parenthesis around (-5 + 2x)
-2 + -1x + x2 = -5 + 2x + 1

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

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

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

Solving for variable 'x'.

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

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

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

Reorder the terms:
2 + -3x + x2 = -4 + 4 + 2x + -2x

Combine like terms: -4 + 4 = 0
2 + -3x + x2 = 0 + 2x + -2x
2 + -3x + x2 = 2x + -2x

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

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


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1, 2}

See similar equations:

| 3[4x+3]=2x-5[3-x]+2 | | a^2-2ax+x^2-9=0 | | -9(-2q-73)-83q=8(-8q+65) | | 2(4x+7)=5x+44 | | 8*x+9=33 | | 10+6x=-6x-50 | | [(2x+5)+3y][(2x+5)-3y]=0 | | 14.5=5n-2 | | 8x+6+2x=12+4x | | 4x-8=8x+7-7x | | 5(-17c+53)=-7(5c-45) | | 120=x | | 121=-8m+7(1-7m) | | -10-1=7x-5-x | | -18.04-4.9v+1.6v=14.7v+4(-18.1v+19.97) | | X(a+3)+y(a+3)=0 | | -3(8-11j)=-5(12-6j) | | -3=3x-6x+18 | | 4y-8x=10 | | 55x-11y=253 | | -3(8-11j)=-5(12-j) | | -5d+19-4d=-6(4d+19)-4d | | 8x-15-4x=13 | | 15x+(15)=6 | | 5(-6n+3)=165 | | -4(-18+6n)=-6(13n+15) | | 3x-7=14+2 | | 4x-4-x=-4 | | 11-3s=8 | | 1(-7x+1)=-55 | | 5(-6+3)=165 | | y=3sinx+-4 |

Equations solver categories