5x(4-x)=21x

Simple and best practice solution for 5x(4-x)=21x 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(4-x)=21x equation:


Simplifying
5x(4 + -1x) = 21x
(4 * 5x + -1x * 5x) = 21x
(20x + -5x2) = 21x

Solving
20x + -5x2 = 21x

Solving for variable 'x'.

Reorder the terms:
20x + -21x + -5x2 = 21x + -21x

Combine like terms: 20x + -21x = -1x
-1x + -5x2 = 21x + -21x

Combine like terms: 21x + -21x = 0
-1x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 5x) = 0

Ignore the factor -1.

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 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Solution

x = {0, -0.2}

See similar equations:

| 16c^3=25c | | 8w-8-6w=4w-1 | | -3(y+2)=5y-8 | | 4(x-3)=2x-6 | | 36x=180 | | 51=3x-9 | | (3x-4)(-2x+6)=0 | | a-7=25 | | -2d^2+2d+40=0 | | 3w^2=-2w+4 | | a=4+(n-1)(-3) | | 6=3x+3 | | -6d+6d= | | 6(c-4)=c+2 | | 4x+2(1.5-2x)=3 | | 3(n-5)=21 | | 21x-24=9x+24 | | -3(-10+2x)=-42 | | -3(7x+10)=-30 | | 6(2+7x)=-72 | | X-12=8x-6 | | 5(-8+4x)=-180 | | 6(5x+4)=-156 | | 5(9-5x)=-230 | | 6(-7+3x)=156 | | 2x^2=1-x | | 7x^2-3.2x=2 | | -7(2x+1)=105 | | x^2-10x+2=0 | | 3(6+6x)=72 | | 3(6+6x)=62 | | 5(6+x)=65 |

Equations solver categories