(x-1)(3x+2)=0

Simple and best practice solution for (x-1)(3x+2)=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 (x-1)(3x+2)=0 equation:


Simplifying
(x + -1)(3x + 2) = 0

Reorder the terms:
(-1 + x)(3x + 2) = 0

Reorder the terms:
(-1 + x)(2 + 3x) = 0

Multiply (-1 + x) * (2 + 3x)
(-1(2 + 3x) + x(2 + 3x)) = 0
((2 * -1 + 3x * -1) + x(2 + 3x)) = 0
((-2 + -3x) + x(2 + 3x)) = 0
(-2 + -3x + (2 * x + 3x * x)) = 0
(-2 + -3x + (2x + 3x2)) = 0

Combine like terms: -3x + 2x = -1x
(-2 + -1x + 3x2) = 0

Solving
-2 + -1x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667

Subproblem 2

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

Solution

x = {-0.6666666667, 1}

See similar equations:

| x^2+x-13=-7x-4 | | 3y+7.569=24.069 | | x^2+2x+2=5 | | 3[-4(2x+4)+2(5x-3)]= | | 4x^2+8x+7=0 | | 5(y+3)=-10 | | x+10=-38-3x | | -3+6=-15 | | x^2+17x+17=0 | | 2[-4(4x+5)+5(4x-4)]= | | x^2+17x+17= | | (1-v)(4v-3)=0 | | 3y-12=5y | | 4x^2+23x+28=0 | | (x+4)(x-5)=-16 | | 6x^2-43x-40=0 | | w(11w+3)=8 | | 3x-8x=-25 | | X^2+a-72=0 | | r=m+mvk | | 3t^2-18t+8=0 | | L=2P+2W | | 5x+6=66-7x | | 4y-7=33 | | (2-w)(5w+4)=0 | | 0.4x^2+4x+8.4=0 | | 4x^2+40x+84=0 | | -10x^2-23x-5=0 | | 2x-15x+20x= | | y-18=z | | x+7=-11 | | -4a+8a-4a= |

Equations solver categories