(3x+1)(2x-7)=

Simple and best practice solution for (3x+1)(2x-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+1)(2x-7)= equation: 


Simplifying
(3x + 1)(2x + -7) = 0

Reorder the terms:
(1 + 3x)(2x + -7) = 0

Reorder the terms:
(1 + 3x)(-7 + 2x) = 0

Multiply (1 + 3x) * (-7 + 2x)
(1(-7 + 2x) + 3x * (-7 + 2x)) = 0
((-7 * 1 + 2x * 1) + 3x * (-7 + 2x)) = 0
((-7 + 2x) + 3x * (-7 + 2x)) = 0
(-7 + 2x + (-7 * 3x + 2x * 3x)) = 0
(-7 + 2x + (-21x + 6x2)) = 0

Combine like terms: 2x + -21x = -19x
(-7 + -19x + 6x2) = 0

Solving
-7 + -19x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(7 + -2x) = 0


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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
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
Solution
x = {-0.3333333333, 3.5}

See similar equations:

| X/2=8/16 | | 6(6+8x)=5(17) | | y=x+-13 | | -u/2=-32 | | Y=60x+300 | | X-6=10-3x | | t=-4.9t^2+3.5t+10 | | 3x+2=-52-6x | | 4f-5=0 | | 87/29=x | | 8x+48=7x+63 | | x/87=29 | | 3x-6+2y=-8 | | 2x^2+12x=3x^2-3x | | g+58=93 | | 5770000000x^4+0.57x-356.42=0 | | 2x+11=n | | 6s^2+7st-3t^2=0 | | 4/5x=21 | | 2x^2-4x-16=2x^2-3x-5 | | 36+9x=4+1x | | -1+4(3)=8 | | -14x+12y=2 | | 5x+6=24+7x | | f(x)=2x^3+3x^2-12x+7 | | 2+6(5)=8 | | 5x+5=8x | | 9(w+8)=2w+2 | | 80/162 | | 7+6m+5=38-2 | | 12x+9=-8x-1 | | 3x^2=2x^2+20x |

Equations solver categories