7x(3x+5)(5x+2)=0

Simple and best practice solution for 7x(3x+5)(5x+2)=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 7x(3x+5)(5x+2)=0 equation: 


Simplifying
7x(3x + 5)(5x + 2) = 0

Reorder the terms:
7x(5 + 3x)(5x + 2) = 0

Reorder the terms:
7x(5 + 3x)(2 + 5x) = 0

Multiply (5 + 3x) * (2 + 5x)
7x(5(2 + 5x) + 3x * (2 + 5x)) = 0
7x((2 * 5 + 5x * 5) + 3x * (2 + 5x)) = 0
7x((10 + 25x) + 3x * (2 + 5x)) = 0
7x(10 + 25x + (2 * 3x + 5x * 3x)) = 0
7x(10 + 25x + (6x + 15x2)) = 0

Combine like terms: 25x + 6x = 31x
7x(10 + 31x + 15x2) = 0
(10 * 7x + 31x * 7x + 15x2 * 7x) = 0
(70x + 217x2 + 105x3) = 0

Solving
70x + 217x2 + 105x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(10 + 31x + 15x2) = 0

Factor a trinomial.
7x((5 + 3x)(2 + 5x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 3
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {0, -1.666666667, -0.4}

See similar equations:

| y+17=2 | | 20y+12=9y+78 | | (n)/(8)-3=-11 | | 3(6z-1)-2(z+6)=6z+1 | | 0=x^2-2x+99 | | x-3=49 | | g^2+11=24 | | (x+3)(x+2)(x+5)=0 | | 2x^2+18x+14=0 | | 4x^2=7x+2 | | 2x+12=84 | | 5n+3=2n+9 | | (2x+2)(7x+6)=0 | | 3(5z+-1)+-3(z+6)=8(z+1) | | 6u^2+35u-6= | | 3x^2+7=4 | | 0.3(9x-27)=.5(4x-6) | | c+5=2 | | 3c^2-6c^2+3c=0 | | x^2+3x+2.25=-3.75 | | -5(x+1)=-8-6x | | 15x^2+44x+21=0 | | 7x^2-36+5=0 | | 3(5z-1)-3(z+6)=8(z+1) | | -11+19x=27 | | 24y+9y^2=-16 | | x+(4x)=50 | | 10-h=9 | | 3v^2+13v=-14 | | (x+7)(x)(x+7)(x)(x)(x)=384 | | 5x=39 | | -5(3x-2)+4x=6x-23 |

Equations solver categories