-6x^2+30x-35=0

Simple and best practice solution for -6x^2+30x-35=0 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 -6x^2+30x-35=0 equation:


Simplifying
-6x2 + 30x + -35 = 0

Reorder the terms:
-35 + 30x + -6x2 = 0

Solving
-35 + 30x + -6x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
5.833333333 + -5x + x2 = 0

Move the constant term to the right:

Add '-5.833333333' to each side of the equation.
5.833333333 + -5x + -5.833333333 + x2 = 0 + -5.833333333

Reorder the terms:
5.833333333 + -5.833333333 + -5x + x2 = 0 + -5.833333333

Combine like terms: 5.833333333 + -5.833333333 = 0.000000000
0.000000000 + -5x + x2 = 0 + -5.833333333
-5x + x2 = 0 + -5.833333333

Combine like terms: 0 + -5.833333333 = -5.833333333
-5x + x2 = -5.833333333

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 = -5.833333333 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -5.833333333 + 6.25

Combine like terms: -5.833333333 + 6.25 = 0.416666667
6.25 + -5x + x2 = 0.416666667

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 0.416666667

Calculate the square root of the right side: 0.645497225

Break this problem into two subproblems by setting 
(x + -2.5) equal to 0.645497225 and -0.645497225.

Subproblem 1

x + -2.5 = 0.645497225 Simplifying x + -2.5 = 0.645497225 Reorder the terms: -2.5 + x = 0.645497225 Solving -2.5 + x = 0.645497225 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 = 0.645497225 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 0.645497225 + 2.5 x = 0.645497225 + 2.5 Combine like terms: 0.645497225 + 2.5 = 3.145497225 x = 3.145497225 Simplifying x = 3.145497225

Subproblem 2

x + -2.5 = -0.645497225 Simplifying x + -2.5 = -0.645497225 Reorder the terms: -2.5 + x = -0.645497225 Solving -2.5 + x = -0.645497225 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 = -0.645497225 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -0.645497225 + 2.5 x = -0.645497225 + 2.5 Combine like terms: -0.645497225 + 2.5 = 1.854502775 x = 1.854502775 Simplifying x = 1.854502775

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.145497225, 1.854502775}

See similar equations:

| 7d-3=2(d+6) | | 3x^2-49x=21 | | 9f-10=-10+6f | | 12x+86y=900 | | 7e^3x=14 | | x^2+3xy-2y^2-4=0 | | 80+(4x-100)+(x)=180 | | -6j+9+3j=1-4j | | 15-(2m+7)=2+4m-12 | | (3x-35)=130 | | 27.95(2)+0.32(m)=250 | | X^2+10+41=0 | | .9x-2.1+.4=.2(5-X) | | (3x-10)+(5x-10)+(2x)=180 | | 23.95(4)+0.32(m)=200 | | -3(y+3)=2y-3 | | j=8-j | | -5.5+-4y=x | | 2(5x-34)+(.67-45x)=345 | | 5x+7-8=0 | | Log(5x+13)=0 | | 6-4z=-3-5z | | 1=112=223=33..11=? | | (5x+23)-56x=14x+.75 | | u^3-14u-32u=0 | | (4x-2)+(x+7)= | | 126=7(x+2) | | 24+p^2=159 | | x-6x-23=0 | | (5x+23)-56x= | | (x+2)=-5-2(x+3) | | (4x-2)+(x+7)+(x+7)=180 |

Equations solver categories