(x-2)(2x+1)=12

Simple and best practice solution for (x-2)(2x+1)=12 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)(2x+1)=12 equation: 


Simplifying
(x + -2)(2x + 1) = 12

Reorder the terms:
(-2 + x)(2x + 1) = 12

Reorder the terms:
(-2 + x)(1 + 2x) = 12

Multiply (-2 + x) * (1 + 2x)
(-2(1 + 2x) + x(1 + 2x)) = 12
((1 * -2 + 2x * -2) + x(1 + 2x)) = 12
((-2 + -4x) + x(1 + 2x)) = 12
(-2 + -4x + (1 * x + 2x * x)) = 12
(-2 + -4x + (1x + 2x2)) = 12

Combine like terms: -4x + 1x = -3x
(-2 + -3x + 2x2) = 12

Solving
-2 + -3x + 2x2 = 12

Solving for variable 'x'.

Reorder the terms:
-2 + -12 + -3x + 2x2 = 12 + -12

Combine like terms: -2 + -12 = -14
-14 + -3x + 2x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-14 + -3x + 2x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -2x) = 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 '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-2, 3.5}

See similar equations:

| y=-x^2+8x-12 | | 3c+29+-2c-4=-4c | | 2n-9=8n+19 | | 4(3y+7)=4 | | 4p-3+5p=15 | | 10x^3-15x^2+8x-3=0 | | ln(x-4)=lnx-4 | | (x-1-2i)x(x-1+2i)= | | 18x-8=-15 | | X^2+28=-11x | | x^3-8x^3+9x-2=0 | | 25x^2+50x+25y^2+150y-246=0 | | 3x^2+40x+95=0 | | -0.8x=6.4 | | -9(v+4)+2v+6=5v+11 | | ln(6x)+ln(x)=-1 | | +46=-2+8n | | 6n+4=8n-7 | | -7(v-4)+3v+6=8v+8 | | 142=x(5+y) | | -x+8y=3 | | (x)(x)+13x+30=0 | | x^2-2x+17=25 | | (x)(x)+4x-32=0 | | x*2+2x-1=2 | | X-2=10y | | 7x-5x=35 | | (x)(x)+2x-1=2 | | (3u+7)(4-u)=0 | | -4+8=-4(2y+2) | | (x*x)+3x-.75=0 | | 14a-7(a+1)=2(a-4) |

Equations solver categories