2(x+3)(x-1)=234

Simple and best practice solution for 2(x+3)(x-1)=234 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 2(x+3)(x-1)=234 equation: 


Simplifying
2(x + 3)(x + -1) = 234

Reorder the terms:
2(3 + x)(x + -1) = 234

Reorder the terms:
2(3 + x)(-1 + x) = 234

Multiply (3 + x) * (-1 + x)
2(3(-1 + x) + x(-1 + x)) = 234
2((-1 * 3 + x * 3) + x(-1 + x)) = 234
2((-3 + 3x) + x(-1 + x)) = 234
2(-3 + 3x + (-1 * x + x * x)) = 234
2(-3 + 3x + (-1x + x2)) = 234

Combine like terms: 3x + -1x = 2x
2(-3 + 2x + x2) = 234
(-3 * 2 + 2x * 2 + x2 * 2) = 234
(-6 + 4x + 2x2) = 234

Solving
-6 + 4x + 2x2 = 234

Solving for variable 'x'.

Reorder the terms:
-6 + -234 + 4x + 2x2 = 234 + -234

Combine like terms: -6 + -234 = -240
-240 + 4x + 2x2 = 234 + -234

Combine like terms: 234 + -234 = 0
-240 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + 2x + x2) = 0

Factor a trinomial.
2((-12 + -1x)(10 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-12, 10}

See similar equations:

| x^2-24x=-44 | | (-1p+2)(3p^2+1)= | | 3(4.8)+y=3y | | 3t-3+2t=7t-15 | | 3.4q-5.6-3.2q=-0.8q-3.9 | | 144=x(x+2)3 | | (6-5n)(6+5n)= | | 5*(2b-14)=5*b+1 | | 4b^2-8b=0 | | 6i^28=6 | | 2*m+11=4*m*11 | | 85x+1.10x=280 | | 6i^28=i | | 15x+5(.75x)=90 | | 6i^28=x | | 85x+280+1.10x=0 | | 8x^3+6x^2+x=0 | | (1b-8)(5b-2)= | | 15x+5y=90 | | (B-8)(5b-2)= | | 7(9x)+4= | | (x^2-25)= | | 3x-7=48-12x | | (6a-3)(4a-1)= | | x^2-12x+36=18 | | w-2=0 | | x^2+5x-3=3 | | 15a+8b-4a-b= | | 3-2t+1=12 | | 5t^2-7t-1=0 | | 1+5t+5=16 | | 5t^2-7+1=0 |

Equations solver categories