7x(6x)=5x(10x-4)

Simple and best practice solution for 7x(6x)=5x(10x-4) 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 7x(6x)=5x(10x-4) equation: 


Simplifying
7x(6x) = 5x(10x + -4)

Remove parenthesis around (6x)
7x * 6x = 5x(10x + -4)

Reorder the terms for easier multiplication:
7 * 6x * x = 5x(10x + -4)

Multiply 7 * 6
42x * x = 5x(10x + -4)

Multiply x * x
42x2 = 5x(10x + -4)

Reorder the terms:
42x2 = 5x(-4 + 10x)
42x2 = (-4 * 5x + 10x * 5x)
42x2 = (-20x + 50x2)

Solving
42x2 = -20x + 50x2

Solving for variable 'x'.

Reorder the terms:
20x + 42x2 + -50x2 = -20x + 50x2 + 20x + -50x2

Combine like terms: 42x2 + -50x2 = -8x2
20x + -8x2 = -20x + 50x2 + 20x + -50x2

Reorder the terms:
20x + -8x2 = -20x + 20x + 50x2 + -50x2

Combine like terms: -20x + 20x = 0
20x + -8x2 = 0 + 50x2 + -50x2
20x + -8x2 = 50x2 + -50x2

Combine like terms: 50x2 + -50x2 = 0
20x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5 + -2x) = 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 '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0, 2.5}

See similar equations:

| 2y-9=5y-4y | | x^2=12x-45 | | 0.6x-8=2.2x-16 | | -32=5v-9v | | 4x-y=-21 | | 10=-13x+2 | | nover-4+(-3)=8 | | 13x-6=11x | | 5(-2(2x+5)+2(3x-4))= | | 10=-13+2 | | 705+0.5x=3/4x | | ln(x)=2/3ln(27)+ln(20)-3ln(8) | | 4x+4x=7x-6 | | 6(6-x)=4x | | 60/5= | | 38x^2+6x-10=0 | | 9x+5y=-11 | | 6n+9=4n+12 | | 2=5x | | 2(16.17)+y=21 | | 6/10+3/5 | | -7/19p=-4 | | 6t-2=0 | | 4(16.75)+4(-2(16.75)+21)= | | 5(x-8)=20 | | 4(16.75)+4(-2(16.75)+21)=17 | | -1/3x-9.333333=-1 | | x/-5-21=-20 | | 56=8t | | 4=6/(2x-1) | | 9=4x-8 | | 3x=y-12 |

Equations solver categories