(3x+8)(x-7)=

Simple and best practice solution for (3x+8)(x-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+8)(x-7)= equation: 


Simplifying
(3x + 8)(x + -7) = 0

Reorder the terms:
(8 + 3x)(x + -7) = 0

Reorder the terms:
(8 + 3x)(-7 + x) = 0

Multiply (8 + 3x) * (-7 + x)
(8(-7 + x) + 3x * (-7 + x)) = 0
((-7 * 8 + x * 8) + 3x * (-7 + x)) = 0
((-56 + 8x) + 3x * (-7 + x)) = 0
(-56 + 8x + (-7 * 3x + x * 3x)) = 0
(-56 + 8x + (-21x + 3x2)) = 0

Combine like terms: 8x + -21x = -13x
(-56 + -13x + 3x2) = 0

Solving
-56 + -13x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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 = {-2.666666667, 7}

See similar equations:

| 6(5x-4)-3(3x-13)=20x+5 | | -14x+5=10b+21 | | 7-8y+9= | | (w-7/2)^2=11 | | f(x)=2x^2-5x-12 | | (6x-2)(x+3)= | | -4/7x=16/14 | | 5x^2-x=x^2-10x | | (8x-1)(2x-3)= | | m^2+30=-17m | | 14a+6a^2= | | y-50=-5.67(x-10) | | 6x-4=9x-3 | | 2x^2+2x+13=8x^2-4x+1 | | (-9)=2/3x-17 | | 8x+1=1x+6 | | x^4+3x-78=0 | | 3(4c+1)=2c+13 | | 3s(-2s)= | | x+1=6x-x^2 | | 12+6x=8x | | 3sx-2s= | | 3=8r+1+2 | | (x^2+8x+17)/(x+2) | | -6w-3=21 | | 20x-21=2x+14 | | 3(4c+1)2c=13 | | 4*8cs+3c=8c | | 14b+5=10b+21 | | 7x+11=-24 | | 5*12/n-3d=12 | | -25d-3.2=74.1 |

Equations solver categories