3(3x+5)(x-7)=

Simple and best practice solution for 3(3x+5)(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 3(3x+5)(x-7)= equation: 


Simplifying
3(3x + 5)(x + -7) = 0

Reorder the terms:
3(5 + 3x)(x + -7) = 0

Reorder the terms:
3(5 + 3x)(-7 + x) = 0

Multiply (5 + 3x) * (-7 + x)
3(5(-7 + x) + 3x * (-7 + x)) = 0
3((-7 * 5 + x * 5) + 3x * (-7 + x)) = 0
3((-35 + 5x) + 3x * (-7 + x)) = 0
3(-35 + 5x + (-7 * 3x + x * 3x)) = 0
3(-35 + 5x + (-21x + 3x2)) = 0

Combine like terms: 5x + -21x = -16x
3(-35 + -16x + 3x2) = 0
(-35 * 3 + -16x * 3 + 3x2 * 3) = 0
(-105 + -48x + 9x2) = 0

Solving
-105 + -48x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-35 + -16x + 3x2) = 0

Factor a trinomial.
3((-5 + -3x)(7 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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 = {-1.666666667, 7}

See similar equations:

| 4.2x-1.4y=2.1findy | | 1.2(3x-5)=1.5(2.4x-4) | | 4(5x-6)=22 | | -4*-4*-2*-2*-2= | | 9x+0.5+0.2=20x-0.2+0.3 | | xy-3y-9=0 | | 90.8+9=-18.24 | | 3/4-2/9.3/2-15/3 | | 3x+63=10x | | Xx-2x-1=0 | | 5t+6+5=8 | | 2400/x | | a+70=20 | | 5x+0.5+4x+0.2=6x+6x-0.2 | | (3+5i)+(3+5i)=0 | | 12x=56-4x | | 7/10-1/3= | | (x/360)3.14(81)=120 | | 3x-55=26 | | (Y-8)+(Y-8)=5Y-100 | | 2.5+z=46 | | a^2+3a^2=400 | | log(8)(t+10)-log(8)(t-1)=log(8)13 | | 18x-x^2=72 | | (4x+(x^2)-.2342)=0 | | 36x^2n+316xn+224n= | | 2x-8=7x+37 | | 3a-5/7 | | 1/5(4+y)=y | | 10a^2+29a-21=0 | | (3+4i)+(7-2i)=0 | | .75xd=18 |

Equations solver categories