3x(x-5)=7x^2-16x

Simple and best practice solution for 3x(x-5)=7x^2-16x 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 3x(x-5)=7x^2-16x equation: 


Simplifying
3x(x + -5) = 7x2 + -16x

Reorder the terms:
3x(-5 + x) = 7x2 + -16x
(-5 * 3x + x * 3x) = 7x2 + -16x
(-15x + 3x2) = 7x2 + -16x

Reorder the terms:
-15x + 3x2 = -16x + 7x2

Solving
-15x + 3x2 = -16x + 7x2

Solving for variable 'x'.

Reorder the terms:
-15x + 16x + 3x2 + -7x2 = -16x + 7x2 + 16x + -7x2

Combine like terms: -15x + 16x = 1x
1x + 3x2 + -7x2 = -16x + 7x2 + 16x + -7x2

Combine like terms: 3x2 + -7x2 = -4x2
1x + -4x2 = -16x + 7x2 + 16x + -7x2

Reorder the terms:
1x + -4x2 = -16x + 16x + 7x2 + -7x2

Combine like terms: -16x + 16x = 0
1x + -4x2 = 0 + 7x2 + -7x2
1x + -4x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
1x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -4x) = 0


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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {0, 0.25}

See similar equations:

| 8t^2-12t=2t-3 | | 0.40x-0.20(50+x)=-0.04(50) | | x=1000+0.30y | | x=1000+0.30x | | x=1000+0.03x | | -5p^2+p=3 | | 74-4x=5x+23 | | y^3-y-3=0 | | 13.87+X=9.4875X+X | | -81-7x=8x+24 | | 14.427+X=4.2X+X | | 1.53X=5+X | | 1.53X=10+X | | 3+9x=43+x | | 3x-4=13x-94 | | 3x+17=9x+5 | | x^2-3x-48=0 | | 5v^2+39v+54=0 | | 3x^2-6x+1=10 | | 5y+20= | | p^2-10p-46=0 | | 10-5(9n-9)= | | x^2-16x+64=11 | | 2x^2-x=15 | | 81b^2-16=0 | | 3x+1=8x-3 | | x(2x-3)=20 | | 33.818+X=9.4875X+X | | 30.818+X=9.4875X+X | | 30.818X=9.4875X | | 12x+13y+12x-7y-36=0 | | 2x+9y=2 |

Equations solver categories