5x(x-7)=(2x+4)(x-7)

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


Simplifying
5x(x + -7) = (2x + 4)(x + -7)

Reorder the terms:
5x(-7 + x) = (2x + 4)(x + -7)
(-7 * 5x + x * 5x) = (2x + 4)(x + -7)
(-35x + 5x2) = (2x + 4)(x + -7)

Reorder the terms:
-35x + 5x2 = (4 + 2x)(x + -7)

Reorder the terms:
-35x + 5x2 = (4 + 2x)(-7 + x)

Multiply (4 + 2x) * (-7 + x)
-35x + 5x2 = (4(-7 + x) + 2x * (-7 + x))
-35x + 5x2 = ((-7 * 4 + x * 4) + 2x * (-7 + x))
-35x + 5x2 = ((-28 + 4x) + 2x * (-7 + x))
-35x + 5x2 = (-28 + 4x + (-7 * 2x + x * 2x))
-35x + 5x2 = (-28 + 4x + (-14x + 2x2))

Combine like terms: 4x + -14x = -10x
-35x + 5x2 = (-28 + -10x + 2x2)

Solving
-35x + 5x2 = -28 + -10x + 2x2

Solving for variable 'x'.

Reorder the terms:
28 + -35x + 10x + 5x2 + -2x2 = -28 + -10x + 2x2 + 28 + 10x + -2x2

Combine like terms: -35x + 10x = -25x
28 + -25x + 5x2 + -2x2 = -28 + -10x + 2x2 + 28 + 10x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
28 + -25x + 3x2 = -28 + -10x + 2x2 + 28 + 10x + -2x2

Reorder the terms:
28 + -25x + 3x2 = -28 + 28 + -10x + 10x + 2x2 + -2x2

Combine like terms: -28 + 28 = 0
28 + -25x + 3x2 = 0 + -10x + 10x + 2x2 + -2x2
28 + -25x + 3x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
28 + -25x + 3x2 = 0 + 2x2 + -2x2
28 + -25x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
28 + -25x + 3x2 = 0

Factor a trinomial.
(4 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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 = {1.333333333, 7}

See similar equations:

| 3-8x=15-2x | | 3(f-5)=-24 | | 10(s-10)=-126 | | 4r+9=11 | | -15y^2+56y=0 | | 4(2l+8)=72 | | (q-3)*3=12 | | (e+5)*4=28 | | 3(a-7)=24 | | m^2-7m+12.25=0 | | 8x+4x=80 | | (u-10)*7=63 | | (u-10)*7= | | 0=6*sin(3t) | | (6x-6)+(7x+1)=125 | | (q-3)*3= | | log(4)5x^2=3 | | (2x)+(x+12)+96=180 | | 4+30x=15x+16 | | 29=-7+4(6x-14) | | 6x-11=2x+12 | | (5x+3)(3x^2-16x+21)=0 | | -14-4=0 | | 3.7q-5.5-2.9q=0.2q-2.7 | | -6/5*2 | | 5=-5-5/-10 | | 15x^2-100x=0 | | (3a*5)+1(3x-2)= | | -7y+8x=-7y-48 | | fover-9=2 | | 3(4x+6)=6(x+10) | | 7x5/5=x |

Equations solver categories