(x-2)(x+1)=3x+10

Simple and best practice solution for (x-2)(x+1)=3x+10 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)=3x+10 equation: 


Simplifying
(x + -2)(x + 1) = 3x + 10

Reorder the terms:
(-2 + x)(x + 1) = 3x + 10

Reorder the terms:
(-2 + x)(1 + x) = 3x + 10

Multiply (-2 + x) * (1 + x)
(-2(1 + x) + x(1 + x)) = 3x + 10
((1 * -2 + x * -2) + x(1 + x)) = 3x + 10
((-2 + -2x) + x(1 + x)) = 3x + 10
(-2 + -2x + (1 * x + x * x)) = 3x + 10
(-2 + -2x + (1x + x2)) = 3x + 10

Combine like terms: -2x + 1x = -1x
(-2 + -1x + x2) = 3x + 10

Reorder the terms:
-2 + -1x + x2 = 10 + 3x

Solving
-2 + -1x + x2 = 10 + 3x

Solving for variable 'x'.

Reorder the terms:
-2 + -10 + -1x + -3x + x2 = 10 + 3x + -10 + -3x

Combine like terms: -2 + -10 = -12
-12 + -1x + -3x + x2 = 10 + 3x + -10 + -3x

Combine like terms: -1x + -3x = -4x
-12 + -4x + x2 = 10 + 3x + -10 + -3x

Reorder the terms:
-12 + -4x + x2 = 10 + -10 + 3x + -3x

Combine like terms: 10 + -10 = 0
-12 + -4x + x2 = 0 + 3x + -3x
-12 + -4x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -4x + x2 = 0

Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-2, 6}

See similar equations:

| 2u-u-1=14 | | -5+8x-9=(3x+3) | | 4x+4x+135+135+x=180 | | 2v-v-1=3 | | 5w(2w+3)=-2w-3 | | 7-2x=-6x+23 | | (y-2)(y-7)=6 | | -5/8*18/25 | | F(x)=x^7-5x^4+4x-8 | | 5u+-16u-10u+11=0 | | 1-6k-5=-10 | | 4/7*21/32 | | -(x+5)=-7-x | | 4z/10-6=-5 | | 10n=99 | | 157+78+x=180 | | 4+kx=4x^2 | | 11.6=v+4.4 | | .2f+.6(f+20)=-.8+.4f | | 12/r=3 | | 2=-1*-3+b | | -8v+36=-6(6v-6) | | 6k+8-k=-7 | | 120+78+15+x=180 | | f(x)=15x^2-33x-36 | | x=65/11 | | 4=2*-9+b | | 4=2*-9 | | 25x^2+20x=15 | | Fancy+1=0 | | 1/8*21/32 | | x=48/7 |

Equations solver categories