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

Simple and best practice solution for (5x+3)(3x-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 (5x+3)(3x-7)=0 equation: 


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

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

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

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

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

Solving
-21 + -26x + 15x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

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

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

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

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

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

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

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-0.6, 2.333333333}

See similar equations:

| (x+24)+29=64 | | 2+2x-6=0 | | 40-6x=18+15x | | 4(x+5)=5(x-7) | | 7x-10=18x+4 | | (5n+6)(8n+1)=0 | | 5(w-5)=15 | | 12s^2+11-5=0 | | 15+20g=17g | | 6x+3=18-x | | 8x+7+3x-6=9x+2x-2 | | f(x)=x^2-6-2 | | 3+-3*6+-2=-13 | | -4w+16-4w=-33 | | -d^2+13d-42=0 | | Cx+Hy=F | | 22u+10=22 | | -6(z-2)= | | g(6)=-1-7r | | 6=2(1-x)+3x | | -6(v+3w)= | | h(t)=-16t^2+20t+100 | | -5g+10=-30 | | 11x-8y=24 | | 24(x-3)=3(8x-1)-69 | | 8b-0.4b=9b | | 12.00+0.25m=51.00 | | 5x=x-28 | | 0.5f=30 | | 30(x+1)=60 | | x(1.25x)=180 | | -3x-4=10-4x |

Equations solver categories