3x(7+2x)-(2+4x)=12

Simple and best practice solution for 3x(7+2x)-(2+4x)=12 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(7+2x)-(2+4x)=12 equation:


Simplifying
3x(7 + 2x) + -1(2 + 4x) = 12
(7 * 3x + 2x * 3x) + -1(2 + 4x) = 12
(21x + 6x2) + -1(2 + 4x) = 12
21x + 6x2 + (2 * -1 + 4x * -1) = 12
21x + 6x2 + (-2 + -4x) = 12

Reorder the terms:
-2 + 21x + -4x + 6x2 = 12

Combine like terms: 21x + -4x = 17x
-2 + 17x + 6x2 = 12

Solving
-2 + 17x + 6x2 = 12

Solving for variable 'x'.

Reorder the terms:
-2 + -12 + 17x + 6x2 = 12 + -12

Combine like terms: -2 + -12 = -14
-14 + 17x + 6x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-14 + 17x + 6x2 = 0

Factor a trinomial.
(-7 + -2x)(2 + -3x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-3.5, 0.6666666667}

See similar equations:

| (n-6)*8=16 | | (n-6)*6=28 | | 3(5+8z)= | | -3x^2-6x+6=0 | | 7.1+8.5x=15.3+x | | 8.5x+7.1=x+15.3 | | 4y+6=2y+12 | | x(7.1+8.5)=x+15.3 | | 8x^2-34x+21=-11 | | (8.1+2.9)x=x+49.3 | | 7d+3e-2d= | | 4(2c-5)=7(3c-1) | | 3x=17-2 | | 4x-12=66-2x | | z+3.5z+5.2=6.8(z+5.5) | | -4w-3=-6w-15 | | 4x+7=2x-5 | | -3(-3w-8)=9w-14 | | x+0.3x=150 | | 16z-11=20z-3 | | 7/2v+5/4=-1/4v-5/2 | | 4x+155=9x | | 9(4x-3)=4(x-2)+17 | | 1.5m^2+m=-3.5 | | x^2+28x-1176=0 | | 75-3x=6x+24 | | 13-8x=163-43x | | d^2-49=0 | | 3x+13=59-9x | | -7.9c=-7.9 | | 32.4=-9w | | p-18=41/4(h-6) |

Equations solver categories