(a-2)(a-1)=0

Simple and best practice solution for (a-2)(a-1)=0 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 (a-2)(a-1)=0 equation:


Simplifying
(a + -2)(a + -1) = 0

Reorder the terms:
(-2 + a)(a + -1) = 0

Reorder the terms:
(-2 + a)(-1 + a) = 0

Multiply (-2 + a) * (-1 + a)
(-2(-1 + a) + a(-1 + a)) = 0
((-1 * -2 + a * -2) + a(-1 + a)) = 0
((2 + -2a) + a(-1 + a)) = 0
(2 + -2a + (-1 * a + a * a)) = 0
(2 + -2a + (-1a + a2)) = 0

Combine like terms: -2a + -1a = -3a
(2 + -3a + a2) = 0

Solving
2 + -3a + a2 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1

Subproblem 2

Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2

Solution

a = {1, 2}

See similar equations:

| b^2-9b-162=0 | | 4w-12=5(w+3) | | 2(x-1)-(x-3)=5-2(3x+2) | | -5x^2-13x+28=0 | | 42*37= | | 4x-2x+5=x+13 | | 11a+4=-51 | | 3(p+2)-7p=-10 | | 12-3(x+5)=25+3x | | 3x^2+2x-120= | | 3(m+4)+m=4m | | 4(-2)2+3(-2)+6= | | 13y+4y+12=-18 | | c=8pifb | | -4x-4y+2z=0 | | -20x+4=0 | | s+7=t+2 | | 7(2x-5)-5(3x+1)=6(x-4)-7 | | -21=-3(y+6) | | s+7=t+1 | | 6x-8y-35=0 | | 3x^2-118=0 | | 7(2x-7)=-21 | | x^2+7=12 | | 11+4x-5=2.3 | | 3x+y-4z=13 | | 3x^2-17x+25=5 | | 5a+3a-2=22 | | -(12-4x)+8(10-x)=0 | | x-3y+z=13 | | -9+3V=18 | | -4x+9=51+2x |

Equations solver categories