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

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


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

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

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

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

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

Add '2' to each side of the equation.
-2 + -3x + 2 + 2x2 = -2 + 2

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

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

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

Solving
-3x + 2x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, 1.5}

See similar equations:

| 3b+b=36 | | (k-4)+(b-4)=28 | | 2*(x+iy)=0 | | x^2-2x^2-5x+6=0 | | (k-3)+(b-3)=28 | | 8x^5+4x+3=0 | | 2x^3+12x^2-32x=0 | | 4x+4(x-100)=3440 | | -100=-16t^2+50t | | 100=-16t^2+50t | | x^2+16x+40= | | 48r+48t=48*45 | | 2(x-3)+5(2x+9)=63 | | 9.1x+22.28=-10.9x+21.18 | | (N-5)*2=8 | | 8-(6x+12)=50 | | 5x+10(x+9)=225 | | X+(4x+17)+(5x+5)=132 | | 6.3x-1.1=5.2 | | Y^2-9y=-8 | | .50x+.10(360-x)=.40(360) | | 4s+4(s+20)=360 | | (4x-4)=(x+4) | | M-74=213 | | 54-9=18 | | 90+(2x-20)+(x+10)+x=360 | | t*w=ma | | M-12=149 | | t+w=ma | | 16x-(4x-6)=18 | | 4x^4-28=0 | | 4x^2+6x+21=3x^2+20x-27 |

Equations solver categories