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

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


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

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

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

Multiply (5 + 3x) * (-3 + 7x)
(5(-3 + 7x) + 3x * (-3 + 7x)) = 0
((-3 * 5 + 7x * 5) + 3x * (-3 + 7x)) = 0
((-15 + 35x) + 3x * (-3 + 7x)) = 0
(-15 + 35x + (-3 * 3x + 7x * 3x)) = 0
(-15 + 35x + (-9x + 21x2)) = 0

Combine like terms: 35x + -9x = 26x
(-15 + 26x + 21x2) = 0

Solving
-15 + 26x + 21x2 = 0

Solving for variable 'x'.

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


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 '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-1.666666667, 0.4285714286}

See similar equations:

| -2x+3(2x+9)-5=-10 | | n^2+4n-73=0 | | (-7)(3)-(5)(-3)= | | 6.9=d+3.9 | | 2(8)-y+5=-4 | | n^2+20n-52=0 | | 7+3x=-3(4-5x) | | k-30=3k+20 | | (5y-8)(5+y)=0 | | 2x+1=8+9x | | n+3.8=7.4 | | x+26=28 | | 3.8=d+2.6 | | 3+8x=5x-9 | | 4x-8=2x+1 | | r+4.2=-7.7 | | 5x(x-1)=25 | | x+26=8 | | 0.6x=600 | | ln(x+9)=6 | | 6+2=3x-5 | | 6(-1)+24=-12y | | Ln(2x+1)=0 | | n^2-4n-96=0 | | 60x=600 | | 7.6=r+-2.6 | | 6(0)+24=-12y | | 6(0)+24=-12 | | -5=d+-0.9 | | 6.6=n+6.5 | | 6(1)+24=-12y | | c+3.3=-9 |

Equations solver categories