3x(x-7)=(2x+4)(x-7)

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


Simplifying
3x(x + -7) = (2x + 4)(x + -7)

Reorder the terms:
3x(-7 + x) = (2x + 4)(x + -7)
(-7 * 3x + x * 3x) = (2x + 4)(x + -7)
(-21x + 3x2) = (2x + 4)(x + -7)

Reorder the terms:
-21x + 3x2 = (4 + 2x)(x + -7)

Reorder the terms:
-21x + 3x2 = (4 + 2x)(-7 + x)

Multiply (4 + 2x) * (-7 + x)
-21x + 3x2 = (4(-7 + x) + 2x * (-7 + x))
-21x + 3x2 = ((-7 * 4 + x * 4) + 2x * (-7 + x))
-21x + 3x2 = ((-28 + 4x) + 2x * (-7 + x))
-21x + 3x2 = (-28 + 4x + (-7 * 2x + x * 2x))
-21x + 3x2 = (-28 + 4x + (-14x + 2x2))

Combine like terms: 4x + -14x = -10x
-21x + 3x2 = (-28 + -10x + 2x2)

Solving
-21x + 3x2 = -28 + -10x + 2x2

Solving for variable 'x'.

Reorder the terms:
28 + -21x + 10x + 3x2 + -2x2 = -28 + -10x + 2x2 + 28 + 10x + -2x2

Combine like terms: -21x + 10x = -11x
28 + -11x + 3x2 + -2x2 = -28 + -10x + 2x2 + 28 + 10x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
28 + -11x + 1x2 = -28 + -10x + 2x2 + 28 + 10x + -2x2

Reorder the terms:
28 + -11x + 1x2 = -28 + 28 + -10x + 10x + 2x2 + -2x2

Combine like terms: -28 + 28 = 0
28 + -11x + 1x2 = 0 + -10x + 10x + 2x2 + -2x2
28 + -11x + 1x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
28 + -11x + 1x2 = 0 + 2x2 + -2x2
28 + -11x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
28 + -11x + 1x2 = 0

Factor a trinomial.
(4 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {4, 7}

See similar equations:

| 8x^2-14xy-15y^2=0 | | 1x+2x+5x=-16 | | 35(w+5)=6 | | 12x=8x+19 | | .5(x+6)=1.5x-1 | | 10(t-4)+4t=7(2t+4)-10 | | -4(9x+2)-3x=-3 | | 2(x+-9)=-406 | | 7+7b-2-15b+b=4b-5-11b+2+10 | | 112=b+128 | | 9x+2y=125 | | 28+12m=16.09 | | -5/11h+7/9=2/9 | | 5-(x+8)=2x+6 | | 0.4x+y=7 | | -4(x+6)=64 | | -6+(-3)+(-7)4= | | 44=4(2n+3) | | O+2+1.01= | | 9-5(6x+3)=11 | | 6=-3(-5)+b | | 5s+75=5-2s | | -9(8)=x | | -(9+5y)+(5y)= | | 4x+2=25 | | 4-2x=4x-5x+4 | | 3s+75=5 | | 4xwhat=7.5 | | 2x-10=-18 | | 1.75+.25(8x-1)=13.75 | | p^2-16x+28= | | 3(x+-8)=57 |

Equations solver categories