(x-4)(2x-3)=12

Simple and best practice solution for (x-4)(2x-3)=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-4)(2x-3)=12 equation: 


Simplifying
(x + -4)(2x + -3) = 12

Reorder the terms:
(-4 + x)(2x + -3) = 12

Reorder the terms:
(-4 + x)(-3 + 2x) = 12

Multiply (-4 + x) * (-3 + 2x)
(-4(-3 + 2x) + x(-3 + 2x)) = 12
((-3 * -4 + 2x * -4) + x(-3 + 2x)) = 12
((12 + -8x) + x(-3 + 2x)) = 12
(12 + -8x + (-3 * x + 2x * x)) = 12
(12 + -8x + (-3x + 2x2)) = 12

Combine like terms: -8x + -3x = -11x
(12 + -11x + 2x2) = 12

Add '-12' to each side of the equation.
12 + -11x + -12 + 2x2 = 12 + -12

Reorder the terms:
12 + -12 + -11x + 2x2 = 12 + -12

Combine like terms: 12 + -12 = 0
0 + -11x + 2x2 = 12 + -12
-11x + 2x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-11x + 2x2 = 0

Solving
-11x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 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 '(-11 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {0, 5.5}

See similar equations:

| 7y-3(4y^2-6)-(-5y^2+y-2)= | | 368=2(7w)+2w | | 200-5w=50 | | 200-50-5w=5 | | 184=(L)+7w | | 50+5w=200 | | 368=2(l+W) | | 450+90=18p | | (x-2)(x^2-8x+7)=0 | | 7l+w=184 | | p=30*2+10*2 | | 10=w+8 | | (x+8)(4x^2-81)=0 | | 14=x(2x-3) | | 690=25p+40 | | 40+25*10=p | | 54=8K+48 | | 221=8w+13 | | 320=6t+20 | | m+8m-8=41+2m-14 | | 5y-8y=12 | | m+8m-8=41 | | 3+5+1=10 | | (x-4)3=(x+5)7 | | 7+2x=2x+6 | | 7n-4n=3 | | (x+24)+(2x-1)=90 | | 52=x(2x-5) | | x-8+6=-3 | | 52=x(2w-5) | | (2x-1)(4x+3)= | | -2x(5-x)= |

Equations solver categories