10x*(x-1)=360

Simple and best practice solution for 10x*(x-1)=360 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 10x*(x-1)=360 equation:


Simplifying
10x(x + -1) = 360

Reorder the terms:
10x(-1 + x) = 360
(-1 * 10x + x * 10x) = 360
(-10x + 10x2) = 360

Solving
-10x + 10x2 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + -10x + 10x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + -10x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-36 + -1x + x2) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(-36 + -1x + x2)' equal to zero and attempt to solve: Simplifying -36 + -1x + x2 = 0 Solving -36 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '36' to each side of the equation. -36 + -1x + 36 + x2 = 0 + 36 Reorder the terms: -36 + 36 + -1x + x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1x + x2 = 0 + 36 -1x + x2 = 0 + 36 Combine like terms: 0 + 36 = 36 -1x + x2 = 36 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = 36 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 36 + 0.25 Combine like terms: 36 + 0.25 = 36.25 0.25 + -1x + x2 = 36.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 36.25 Calculate the square root of the right side: 6.020797289 Break this problem into two subproblems by setting (x + -0.5) equal to 6.020797289 and -6.020797289.

Subproblem 1

x + -0.5 = 6.020797289 Simplifying x + -0.5 = 6.020797289 Reorder the terms: -0.5 + x = 6.020797289 Solving -0.5 + x = 6.020797289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 6.020797289 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 6.020797289 + 0.5 x = 6.020797289 + 0.5 Combine like terms: 6.020797289 + 0.5 = 6.520797289 x = 6.520797289 Simplifying x = 6.520797289

Subproblem 2

x + -0.5 = -6.020797289 Simplifying x + -0.5 = -6.020797289 Reorder the terms: -0.5 + x = -6.020797289 Solving -0.5 + x = -6.020797289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -6.020797289 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -6.020797289 + 0.5 x = -6.020797289 + 0.5 Combine like terms: -6.020797289 + 0.5 = -5.520797289 x = -5.520797289 Simplifying x = -5.520797289

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.520797289, -5.520797289}

Solution

x = {6.520797289, -5.520797289}

See similar equations:

| 134=(16x+22) | | 0.4015=58.44n+95.2m | | 1x/7+1x/2=1/14 | | x*0.2=x+1000 | | 5/m-4=3/8 | | 8=-14-d/9 | | (5d-8)(d-1)=0 | | 3x^2+2x+25=0 | | 2x^5+20x^4+50x^3=0 | | -d/4=21/4 | | 1/5(x-15=17 | | 2m+17=5m+11 | | -2(x-12)-12x=3(1-7x) | | 13 = r4+ 11 | | -6x*x+21x=0 | | 4d-4=4d | | (2+5i)(-1+4i)=0 | | 8.7+9.9y=y+27.9 | | 30x=20+1 | | z^3+13z^2+22z=0 | | 3b-6b=12(b+1)+9(b-12) | | 8x*x-32x=0 | | (r-10)(r-1)=0 | | 9=2g-1 | | 12-6=24p | | (-7)(-7)=0 | | 5x+2=8x-28 | | 2(8x+8)-6(x+3)=x+5+11x-9 | | 2y+x=26 | | 2y^5-8y^3=0 | | x*5-42=42+x | | -12(r+10)=-12(2r-5) |

Equations solver categories