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

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


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

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

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

Multiply (-7 + 3x) * (5 + 2x)
2x(-7(5 + 2x) + 3x * (5 + 2x)) = 0
2x((5 * -7 + 2x * -7) + 3x * (5 + 2x)) = 0
2x((-35 + -14x) + 3x * (5 + 2x)) = 0
2x(-35 + -14x + (5 * 3x + 2x * 3x)) = 0
2x(-35 + -14x + (15x + 6x2)) = 0

Combine like terms: -14x + 15x = 1x
2x(-35 + 1x + 6x2) = 0
(-35 * 2x + 1x * 2x + 6x2 * 2x) = 0
(-70x + 2x2 + 12x3) = 0

Solving
-70x + 2x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-35 + x + 6x2) = 0

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

Ignore the factor 2.

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

Simplifying
-5 + -2x = 0

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

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 3
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, -2.5, 2.333333333}

See similar equations:

| -7+5x-3x+5x=40 | | -2[G+2]=10 | | 3-7x+3x+9=31 | | 4x^2+4.65x=.65 | | 2a-5=24 | | -99=-11y | | 9x-(9-3x)=3x-1 | | 3x+3+4x+3=52 | | 2[x-3]=x+8 | | 14=-r/8 | | 6x^2+49=-6x-14 | | 2[2m+2]=14 | | 1/2x4/9= | | 5/6*84 | | 7a+9a=4 | | 2m-1=25 | | 16=m/19 | | -3x-9x= | | -2=b/20 | | X-30=-17 | | 9+4x=5x+4 | | 11=-2[p-3] | | -9u+9u-2= | | 9=b+17 | | x^4-49+2x^2-14=0 | | -6x-6=-60 | | 6x+1x+3+2=38 | | -4+8x=20 | | 14=x-7 | | (4w+3)(4w-3)= | | 8x+1=7x+x+4 | | -304=-16x |

Equations solver categories