3x(x-5)=6

Simple and best practice solution for 3x(x-5)=6 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)=6 equation:


Simplifying
3x(x + -5) = 6

Reorder the terms:
3x(-5 + x) = 6
(-5 * 3x + x * 3x) = 6
(-15x + 3x2) = 6

Solving
-15x + 3x2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + -15x + 3x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -5x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -5x + x2)' equal to zero and attempt to solve: Simplifying -2 + -5x + x2 = 0 Solving -2 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '2' to each side of the equation. -2 + -5x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + -5x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x + x2 = 0 + 2 -5x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -5x + x2 = 2 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = 2 + 6.25 Reorder the terms: 6.25 + -5x + x2 = 2 + 6.25 Combine like terms: 2 + 6.25 = 8.25 6.25 + -5x + x2 = 8.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 8.25 Calculate the square root of the right side: 2.872281323 Break this problem into two subproblems by setting (x + -2.5) equal to 2.872281323 and -2.872281323.

Subproblem 1

x + -2.5 = 2.872281323 Simplifying x + -2.5 = 2.872281323 Reorder the terms: -2.5 + x = 2.872281323 Solving -2.5 + x = 2.872281323 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 2.872281323 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 2.872281323 + 2.5 x = 2.872281323 + 2.5 Combine like terms: 2.872281323 + 2.5 = 5.372281323 x = 5.372281323 Simplifying x = 5.372281323

Subproblem 2

x + -2.5 = -2.872281323 Simplifying x + -2.5 = -2.872281323 Reorder the terms: -2.5 + x = -2.872281323 Solving -2.5 + x = -2.872281323 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -2.872281323 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -2.872281323 + 2.5 x = -2.872281323 + 2.5 Combine like terms: -2.872281323 + 2.5 = -0.372281323 x = -0.372281323 Simplifying x = -0.372281323

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.372281323, -0.372281323}

Solution

x = {5.372281323, -0.372281323}

See similar equations:

| 5times-6+4= | | x^3+(5x^2)-9x-45=0 | | 5x-6+4= | | .3*x=38 | | 16-2x=41-7x | | n/3=n-3 | | n/3=n-14 | | 28xy+20y= | | 4(x-1)=2(8-x) | | 5p-22=8-10p | | y=2*(-2)-3 | | 8m+12=15m-23 | | 2-x+3=-2x-10 | | 2-x+3=-2-x-10 | | (8-2x)-(5-4x)=17 | | 1/3x^3-x^2 | | 3x^2+4x=-18 | | (4x-20)(x+7)+4x-20=23+5x | | y-2+y-7=3 | | 2x+2=8x-10 | | 9-3x=13-x | | 56=16-8a | | (8t^2-t-7)(6t^2+8t-1)= | | 5(2x-1)=4x(x-15) | | 20x+86=6 | | xt-x^2y=0 | | 14x+9y=92 | | 11+6z=-1 | | 9x^2-5=x(3x-5) | | (4z-x)(z^3-4z^2x+3zx^2-x^3)= | | (x-2)(x^2+2x+4)-x(x-3)(x+3)=28 | | (3/5x^3)^4 |

Equations solver categories