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

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


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

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

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

Multiply (3 + 2x) * (-5 + 7x)
5x(3(-5 + 7x) + 2x * (-5 + 7x)) = 0
5x((-5 * 3 + 7x * 3) + 2x * (-5 + 7x)) = 0
5x((-15 + 21x) + 2x * (-5 + 7x)) = 0
5x(-15 + 21x + (-5 * 2x + 7x * 2x)) = 0
5x(-15 + 21x + (-10x + 14x2)) = 0

Combine like terms: 21x + -10x = 11x
5x(-15 + 11x + 14x2) = 0
(-15 * 5x + 11x * 5x + 14x2 * 5x) = 0
(-75x + 55x2 + 70x3) = 0

Solving
-75x + 55x2 + 70x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-15 + 11x + 14x2) = 0

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

Ignore the factor 5.

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 '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 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 + -2x = 0 + 3

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

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 3
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {0, -1.5, 0.7142857143}

See similar equations:

| 3X-3=3(1-X) | | 3y-18=4y+9 | | 9x^2+24x+8=0 | | -2-3q+16=-5q-38 | | -4x+5(-x-3)=30 | | 4y+36=14y-24 | | 2(x+4)-2=4(x+3)-10 | | 2x-9=2x-2 | | 52(x+4)-2=4(x+3)-10 | | 2x(5x-1)=9 | | 5(y-5)+8(y+2)=30 | | 60+60+134+X=180 | | 8+6.9/2-9=7.9/3+1 | | w^2+4w=32 | | -3(x-1)-4x=7-7(x+7) | | 19x-7y=-11 | | x^4y^2-2x=Y | | .75(x-4)+.25x=.5 | | 2y-4fory=12 | | 5x^2-5x=1 | | 114+114=2x+38 | | 2y-9=11y+63 | | n^2+4n^2-9n+6-8=0 | | 4.2z= | | 3p+4q=-36 | | 2x+38=114 | | 18x^2-24x+24=0 | | 5b+10b-5=25 | | 0.3x-0.5(3)=0.9 | | y-5=3x-24 | | -3x+6(2x-6)=-90 | | 40x+80=2(20x-2)+84 |

Equations solver categories