3(x-5)(x-2)=7(x-4)(x-6)-48

Simple and best practice solution for 3(x-5)(x-2)=7(x-4)(x-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 3(x-5)(x-2)=7(x-4)(x-6)-48 equation: 


Simplifying
3(x + -5)(x + -2) = 7(x + -4)(x + -6) + -48

Reorder the terms:
3(-5 + x)(x + -2) = 7(x + -4)(x + -6) + -48

Reorder the terms:
3(-5 + x)(-2 + x) = 7(x + -4)(x + -6) + -48

Multiply (-5 + x) * (-2 + x)
3(-5(-2 + x) + x(-2 + x)) = 7(x + -4)(x + -6) + -48
3((-2 * -5 + x * -5) + x(-2 + x)) = 7(x + -4)(x + -6) + -48
3((10 + -5x) + x(-2 + x)) = 7(x + -4)(x + -6) + -48
3(10 + -5x + (-2 * x + x * x)) = 7(x + -4)(x + -6) + -48
3(10 + -5x + (-2x + x2)) = 7(x + -4)(x + -6) + -48

Combine like terms: -5x + -2x = -7x
3(10 + -7x + x2) = 7(x + -4)(x + -6) + -48
(10 * 3 + -7x * 3 + x2 * 3) = 7(x + -4)(x + -6) + -48
(30 + -21x + 3x2) = 7(x + -4)(x + -6) + -48

Reorder the terms:
30 + -21x + 3x2 = 7(-4 + x)(x + -6) + -48

Reorder the terms:
30 + -21x + 3x2 = 7(-4 + x)(-6 + x) + -48

Multiply (-4 + x) * (-6 + x)
30 + -21x + 3x2 = 7(-4(-6 + x) + x(-6 + x)) + -48
30 + -21x + 3x2 = 7((-6 * -4 + x * -4) + x(-6 + x)) + -48
30 + -21x + 3x2 = 7((24 + -4x) + x(-6 + x)) + -48
30 + -21x + 3x2 = 7(24 + -4x + (-6 * x + x * x)) + -48
30 + -21x + 3x2 = 7(24 + -4x + (-6x + x2)) + -48

Combine like terms: -4x + -6x = -10x
30 + -21x + 3x2 = 7(24 + -10x + x2) + -48
30 + -21x + 3x2 = (24 * 7 + -10x * 7 + x2 * 7) + -48
30 + -21x + 3x2 = (168 + -70x + 7x2) + -48

Reorder the terms:
30 + -21x + 3x2 = 168 + -48 + -70x + 7x2

Combine like terms: 168 + -48 = 120
30 + -21x + 3x2 = 120 + -70x + 7x2

Solving
30 + -21x + 3x2 = 120 + -70x + 7x2

Solving for variable 'x'.

Reorder the terms:
30 + -120 + -21x + 70x + 3x2 + -7x2 = 120 + -70x + 7x2 + -120 + 70x + -7x2

Combine like terms: 30 + -120 = -90
-90 + -21x + 70x + 3x2 + -7x2 = 120 + -70x + 7x2 + -120 + 70x + -7x2

Combine like terms: -21x + 70x = 49x
-90 + 49x + 3x2 + -7x2 = 120 + -70x + 7x2 + -120 + 70x + -7x2

Combine like terms: 3x2 + -7x2 = -4x2
-90 + 49x + -4x2 = 120 + -70x + 7x2 + -120 + 70x + -7x2

Reorder the terms:
-90 + 49x + -4x2 = 120 + -120 + -70x + 70x + 7x2 + -7x2

Combine like terms: 120 + -120 = 0
-90 + 49x + -4x2 = 0 + -70x + 70x + 7x2 + -7x2
-90 + 49x + -4x2 = -70x + 70x + 7x2 + -7x2

Combine like terms: -70x + 70x = 0
-90 + 49x + -4x2 = 0 + 7x2 + -7x2
-90 + 49x + -4x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-90 + 49x + -4x2 = 0

Factor a trinomial.
(-10 + x)(9 + -4x) = 0


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

Simplifying
-10 + x = 0

Solving
-10 + x = 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 + x = 0 + 10

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

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

Simplifying
x = 10

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {10, 2.25}

See similar equations:

| 8x+5y+4z-5x+3z-7y= | | 3-1/2x=-1 | | y=12x^2-24 | | .5x+x=-.5 | | 7(2l+8)=140 | | 4y+24=8y+4 | | 9x+30=6x+42 | | 5(a-9)=65 | | (4x-3)-8=5x-(2x-3) | | -5+9=m-10 | | v/-4=4 | | c+3=-16 | | -12d=60 | | (x-7)(x+4)+(x-4)(x-3)=84 | | m+-14=2 | | x^3(2x^2+4x)=0 | | -14+12=20 | | 14=2j | | p+-8=-7 | | x+1=5x-6 | | 3(3z-8)-16= | | 2(3x-4)=-7x+9 | | 83.3x-2=8 | | X+5.1=8.6 | | 1963-1863=100 | | 4(7+2x)=6x+10 | | 12w^5/8w^6x-12w^3y^2 | | 2a+13=17 | | 66.6x-1=5 | | 66.6-1=5 | | 2x^3-8x^2-24x= | | 8.1x=97.2 |

Equations solver categories