-3x+6-5x(x-1)=-5x-(2x-4)+5

Simple and best practice solution for -3x+6-5x(x-1)=-5x-(2x-4)+5 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+6-5x(x-1)=-5x-(2x-4)+5 equation:


Simplifying
-3x + 6 + -5x(x + -1) = -5x + -1(2x + -4) + 5

Reorder the terms:
-3x + 6 + -5x(-1 + x) = -5x + -1(2x + -4) + 5
-3x + 6 + (-1 * -5x + x * -5x) = -5x + -1(2x + -4) + 5
-3x + 6 + (5x + -5x2) = -5x + -1(2x + -4) + 5

Reorder the terms:
6 + -3x + 5x + -5x2 = -5x + -1(2x + -4) + 5

Combine like terms: -3x + 5x = 2x
6 + 2x + -5x2 = -5x + -1(2x + -4) + 5

Reorder the terms:
6 + 2x + -5x2 = -5x + -1(-4 + 2x) + 5
6 + 2x + -5x2 = -5x + (-4 * -1 + 2x * -1) + 5
6 + 2x + -5x2 = -5x + (4 + -2x) + 5

Reorder the terms:
6 + 2x + -5x2 = 4 + 5 + -5x + -2x

Combine like terms: 4 + 5 = 9
6 + 2x + -5x2 = 9 + -5x + -2x

Combine like terms: -5x + -2x = -7x
6 + 2x + -5x2 = 9 + -7x

Solving
6 + 2x + -5x2 = 9 + -7x

Solving for variable 'x'.

Reorder the terms:
6 + -9 + 2x + 7x + -5x2 = 9 + -7x + -9 + 7x

Combine like terms: 6 + -9 = -3
-3 + 2x + 7x + -5x2 = 9 + -7x + -9 + 7x

Combine like terms: 2x + 7x = 9x
-3 + 9x + -5x2 = 9 + -7x + -9 + 7x

Reorder the terms:
-3 + 9x + -5x2 = 9 + -9 + -7x + 7x

Combine like terms: 9 + -9 = 0
-3 + 9x + -5x2 = 0 + -7x + 7x
-3 + 9x + -5x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 9x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.6 + -1.8x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -1.8x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -1.8x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.8x + x2 = 0 + -0.6
-1.8x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-1.8x + x2 = -0.6

The x term is -1.8x.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8x + 0.81 + x2 = -0.6 + 0.81

Reorder the terms:
0.81 + -1.8x + x2 = -0.6 + 0.81

Combine like terms: -0.6 + 0.81 = 0.21
0.81 + -1.8x + x2 = 0.21

Factor a perfect square on the left side:
(x + -0.9)(x + -0.9) = 0.21

Calculate the square root of the right side: 0.458257569

Break this problem into two subproblems by setting 
(x + -0.9) equal to 0.458257569 and -0.458257569.

Subproblem 1

x + -0.9 = 0.458257569 Simplifying x + -0.9 = 0.458257569 Reorder the terms: -0.9 + x = 0.458257569 Solving -0.9 + x = 0.458257569 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + x = 0.458257569 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + x = 0.458257569 + 0.9 x = 0.458257569 + 0.9 Combine like terms: 0.458257569 + 0.9 = 1.358257569 x = 1.358257569 Simplifying x = 1.358257569

Subproblem 2

x + -0.9 = -0.458257569 Simplifying x + -0.9 = -0.458257569 Reorder the terms: -0.9 + x = -0.458257569 Solving -0.9 + x = -0.458257569 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + x = -0.458257569 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + x = -0.458257569 + 0.9 x = -0.458257569 + 0.9 Combine like terms: -0.458257569 + 0.9 = 0.441742431 x = 0.441742431 Simplifying x = 0.441742431

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.358257569, 0.441742431}

See similar equations:

| 2x-3=-14+3x | | -3x+6x-5x(x-1)=-5x-(2x-4)+5 | | 3(4+x)-2=2(5+2x)-x | | 7(z+11)=4(z+38) | | 6y^2-3y+5= | | 48=27-15x | | 5x-6=34+x | | 3x+14=3x+24 | | 21c-35= | | u^2-16u-36=0 | | 30+20=m | | 5.5(x-4)=-0.5x+14 | | 10w+6=6w-15 | | 2(p+4)-4(p-3)=6 | | 9a-8a= | | 30(20)=m | | 2x-11=-x+1 | | 3(x+-4)+6=5(5x+-1)+1 | | 2x^3=10 | | (x-1)+31=-4x | | 10+x=18+x | | 2y-8=20 | | 12x-5=6x+13 | | 6.63x+64=43.9569+8x | | 20m=30 | | 4-5x=3x | | 2x^3-125x=0 | | 4+6n=1 | | -(4y+3)-(-3y-6)=2 | | 7(3c-5)= | | 5x+4=-(x-22) | | 3x+5+2x=45 |

Equations solver categories