(5x+3)*3x-2*(5x+3)=0

Simple and best practice solution for (5x+3)*3x-2*(5x+3)=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-2*(5x+3)=0 equation: 


Simplifying
(5x + 3) * 3x + -2(5x + 3) = 0

Reorder the terms:
(3 + 5x) * 3x + -2(5x + 3) = 0

Reorder the terms for easier multiplication:
3x(3 + 5x) + -2(5x + 3) = 0
(3 * 3x + 5x * 3x) + -2(5x + 3) = 0
(9x + 15x2) + -2(5x + 3) = 0

Reorder the terms:
9x + 15x2 + -2(3 + 5x) = 0
9x + 15x2 + (3 * -2 + 5x * -2) = 0
9x + 15x2 + (-6 + -10x) = 0

Reorder the terms:
-6 + 9x + -10x + 15x2 = 0

Combine like terms: 9x + -10x = -1x
-6 + -1x + 15x2 = 0

Solving
-6 + -1x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -5x)(2 + -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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-0.6, 0.6666666667}

See similar equations:

| 17x+12=y-6 | | 2k=110 | | 2{n+5}=-2 | | Y-(-9)=7/8x(x-2) | | y-40=2y-140 | | 2y-5(3)=4 | | 0.25k+1.5-k-3.5= | | 3(2x-5)+3=-4(-x+3)-2 | | 2c^2-4c+9=0 | | 2x+10=5x+55 | | 17-6(q)=47+10(q) | | 6.02r+30.1=60.2 | | -1/2x-(-3)=15 | | 1/2=e^25k | | 4x-6(x-4)=30 | | 8t-5t=70 | | 13x-5y=1 | | X+2x-12= | | (1x+9)(8x+4)=0 | | -2+3y=27 | | f(x)=3x^2+28x-55 | | R-5=18 | | 90=29x+3y | | 4x-7x+9=27 | | 2(x+30)+5(x-1)= | | 2x+3x-10=50 | | -2(6-20)=20(2n-3) | | 3(6n-5)=75 | | 2000/220000 | | (-4x-1)(3x-1)=0 | | 3-3*62= | | -2000/220000 |

Equations solver categories