(2x-8)(2x-6)=48

Simple and best practice solution for (2x-8)(2x-6)=48 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 (2x-8)(2x-6)=48 equation: 


Simplifying
(2x + -8)(2x + -6) = 48

Reorder the terms:
(-8 + 2x)(2x + -6) = 48

Reorder the terms:
(-8 + 2x)(-6 + 2x) = 48

Multiply (-8 + 2x) * (-6 + 2x)
(-8(-6 + 2x) + 2x * (-6 + 2x)) = 48
((-6 * -8 + 2x * -8) + 2x * (-6 + 2x)) = 48
((48 + -16x) + 2x * (-6 + 2x)) = 48
(48 + -16x + (-6 * 2x + 2x * 2x)) = 48
(48 + -16x + (-12x + 4x2)) = 48

Combine like terms: -16x + -12x = -28x
(48 + -28x + 4x2) = 48

Add '-48' to each side of the equation.
48 + -28x + -48 + 4x2 = 48 + -48

Reorder the terms:
48 + -48 + -28x + 4x2 = 48 + -48

Combine like terms: 48 + -48 = 0
0 + -28x + 4x2 = 48 + -48
-28x + 4x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-28x + 4x2 = 0

Solving
-28x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-7 + x) = 0

Ignore the factor 4.

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 '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

Solving
-7 + x = 0

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

Add '7' to each side of the equation.
-7 + 7 + x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + x = 0 + 7
x = 0 + 7

Combine like terms: 0 + 7 = 7
x = 7

Simplifying
x = 7
Solution
x = {0, 7}

See similar equations:

| -14-(-15)*16= | | -8+(-3x)=3 | | -14-(-15)*10= | | 5x^2*x^2= | | -14-(-15)*2= | | 7h-11=38 | | 0.20(y-2)+0.06y=0.02y-0.05(20) | | 30x-60=60x-30 | | 2x+-3+7=3x-10+7 | | -14+-15*2= | | 3x+(20+-4x)=2 | | 2x+-7=3x+-10+7 | | f(x)=x^2-30x | | 14(27-x)=15x | | y=20+-4x | | 54x+18=0 | | -3h=9(2+-3) | | 1+x+x=1.10 | | 12(26-x)=16x | | (4y^2-2y+4)-(5y^2-2y+3)= | | 8l+w=153 | | 11-g=7 | | (1x)x=1.10 | | 3b-6=18 | | 2(3n+4)=7(8n+2)+1 | | 2(x-y)+4x= | | 9*z=57 | | y=20+-4 | | d+4d=50 | | 26=100t | | -5(4n+6)=15 | | 5x+4y+25x^2-16y^2= |

Equations solver categories