5x^2(3x-7)+7x(5x-2)+4x=

Simple and best practice solution for 5x^2(3x-7)+7x(5x-2)+4x= 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^2(3x-7)+7x(5x-2)+4x= equation: 


Simplifying
5x2(3x + -7) + 7x(5x + -2) + 4x = 0

Reorder the terms:
5x2(-7 + 3x) + 7x(5x + -2) + 4x = 0
(-7 * 5x2 + 3x * 5x2) + 7x(5x + -2) + 4x = 0
(-35x2 + 15x3) + 7x(5x + -2) + 4x = 0

Reorder the terms:
-35x2 + 15x3 + 7x(-2 + 5x) + 4x = 0
-35x2 + 15x3 + (-2 * 7x + 5x * 7x) + 4x = 0
-35x2 + 15x3 + (-14x + 35x2) + 4x = 0

Reorder the terms:
-14x + 4x + -35x2 + 35x2 + 15x3 = 0

Combine like terms: -14x + 4x = -10x
-10x + -35x2 + 35x2 + 15x3 = 0

Combine like terms: -35x2 + 35x2 = 0
-10x + 0 + 15x3 = 0
-10x + 15x3 = 0

Solving
-10x + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-2 + 3x2) = 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 '(-2 + 3x2)' equal to zero and attempt to solve:

Simplifying
-2 + 3x2 = 0

Solving
-2 + 3x2 = 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 + 3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 0 + 2
3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
3x2 = 2

Divide each side by '3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}
Solution
x = {0, -0.816496581, 0.816496581}

See similar equations:

| 3/5x+8=20 | | 12+8k=48 | | 11q-4=3r-6 | | 3x+8-x=10 | | (2x+5)(3)-4(x+2)=8x+5 | | 4u+8v=-3u+2v | | 7x-3=4x+10 | | 9(-9+3x)=-3(x-1) | | 5(x+2)=3(x+-4) | | X^3+3x+2y=2 | | 18b^4-15b^3+3b^2= | | 7x-5=-3x+95 | | 9/6=x/18 | | 3x+1=7x+-1 | | 7a-3b=25 | | -2.6-1.5=n | | 9-(t/6)=5 | | 1/3x-5=3x-15 | | 10p-[3p-4]=4[p+1]+9 | | 5x-2=2x+52+3x | | y+6=5(x-4) | | 3*(4+x)=27 | | 19-3.5/6-4= | | 10(x-1)=6(x+1) | | 3x=500 | | -2(x+6)+3=-11x+4(x+4) | | 10(x-1)=5/12 | | u-5=-4(v-1) | | 2-y/3=15 | | 7(7a+6)-1= | | 23ab-3a= | | 7+2[a+1]-3a=5a |

Equations solver categories