-6x(8x-4)-7x(1-5x)=-18

Simple and best practice solution for -6x(8x-4)-7x(1-5x)=-18 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 -6x(8x-4)-7x(1-5x)=-18 equation: 


Simplifying
-6x(8x + -4) + -7x(1 + -5x) = -18

Reorder the terms:
-6x(-4 + 8x) + -7x(1 + -5x) = -18
(-4 * -6x + 8x * -6x) + -7x(1 + -5x) = -18
(24x + -48x2) + -7x(1 + -5x) = -18
24x + -48x2 + (1 * -7x + -5x * -7x) = -18
24x + -48x2 + (-7x + 35x2) = -18

Reorder the terms:
24x + -7x + -48x2 + 35x2 = -18

Combine like terms: 24x + -7x = 17x
17x + -48x2 + 35x2 = -18

Combine like terms: -48x2 + 35x2 = -13x2
17x + -13x2 = -18

Solving
17x + -13x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + 17x + -13x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + 17x + -13x2 = 0

Factor a trinomial.
(2 + -1x)(9 + 13x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(9 + 13x)' equal to zero and attempt to solve:

Simplifying
9 + 13x = 0

Solving
9 + 13x = 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 + 13x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 13x = 0 + -9
13x = 0 + -9

Combine like terms: 0 + -9 = -9
13x = -9

Divide each side by '13'.
x = -0.6923076923

Simplifying
x = -0.6923076923
Solution
x = {2, -0.6923076923}

See similar equations:

| 3v^2-9v-30= | | x^2+6=88 | | 3v^2-9v=30 | | 4x^2-15x-10=0 | | x^2+16x+144=0 | | (5x-9)(6x+7)=0 | | 4-3y=0 | | x^3+5x^2-10x-6=x^4-x^3-5x^2+6x+10 | | 19+6y=9y-14 | | 2x^2-10x-5=0 | | 4a-4=22+2a | | 5-r=7 | | 5-r/5=7 | | 11=6-3n-4 | | 9x+6=5+8x | | r-55=7 | | r-5/5=7 | | 7x-6-2x=-1 | | (5x+2)(3x+4)= | | 14+5y=8y-1 | | w--8=14 | | x+(x+1)+(x+2)=123 | | 42+c=34 | | 52+c=34 | | x+(x+1)=131 | | 6.2x=5.2x+12.3 | | b/7=6 | | 9(w-2)=27 | | 10x^2-y^2=110 | | d+10=17 | | 22+5y=7y-20 | | 3(x+4)+7=19 |

Equations solver categories