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

Simple and best practice solution for (3x+1)(x-7)=0 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)(x-7)=0 equation: 


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

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

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

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

Combine like terms: 1x + -21x = -20x
(-7 + -20x + 3x2) = 0

Solving
-7 + -20x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(7 + -1x) = 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 + -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 = {-0.3333333333, 7}

See similar equations:

| 0.11f+57.99=58.54 | | 3(c-3)+8=6+c-7 | | 6n-8+4n-6=-2n-10 | | 3(2m-4)=54 | | 6(2x-5)= | | 6(2x-30)= | | 600=30(2x)+2y | | 8y+5x=-40 | | 0=(-45+(-4.9*t^2))/59 | | 0=(-45+(-4.9*t^2)) | | -8y-11=3y+11 | | 8y+4=2y+5 | | 2z=h-2t^2-s | | -4/5r=8 | | (x^2-6x+9)(8x^3+12x^2+6x+1)+(x^3-9x^2+27x-27)(4x^2+4x+1)=0 | | S=zh-2zt^2 | | 3.8x=2.5x+9.1 | | 4x-7=4x-3 | | -5(-2z)=60 | | 25x+350-10+60=5x-100 | | 75=-5(5z) | | 5-4ln(x)=2 | | 85-77=35y-39y | | 4y+2-2=12-10-6y | | (36+3)/(6-3) | | -8m+3m=15-35 | | 13x-(6x-8)=50 | | 8t+4t=20+25-9 | | 4x-11x=14 | | 3x+7=5x-8 | | -3(4a+2)=42 | | -64=11z-3z |

Equations solver categories