x^2-6+4x=0

Simple and best practice solution for x^2-6+4x=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 x^2-6+4x=0 equation:


Simplifying
x2 + -6 + 4x = 0

Reorder the terms:
-6 + 4x + x2 = 0

Solving
-6 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + 4x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + 4x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 4x + x2 = 0 + 6
4x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
4x + x2 = 6

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 6 + 4

Reorder the terms:
4 + 4x + x2 = 6 + 4

Combine like terms: 6 + 4 = 10
4 + 4x + x2 = 10

Factor a perfect square on the left side:
(x + 2)(x + 2) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(x + 2) equal to 3.16227766 and -3.16227766.

Subproblem 1

x + 2 = 3.16227766 Simplifying x + 2 = 3.16227766 Reorder the terms: 2 + x = 3.16227766 Solving 2 + x = 3.16227766 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 3.16227766 + -2 Combine like terms: 2 + -2 = 0 0 + x = 3.16227766 + -2 x = 3.16227766 + -2 Combine like terms: 3.16227766 + -2 = 1.16227766 x = 1.16227766 Simplifying x = 1.16227766

Subproblem 2

x + 2 = -3.16227766 Simplifying x + 2 = -3.16227766 Reorder the terms: 2 + x = -3.16227766 Solving 2 + x = -3.16227766 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -3.16227766 + -2 Combine like terms: 2 + -2 = 0 0 + x = -3.16227766 + -2 x = -3.16227766 + -2 Combine like terms: -3.16227766 + -2 = -5.16227766 x = -5.16227766 Simplifying x = -5.16227766

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.16227766, -5.16227766}

See similar equations:

| 1/5x+2/5x=3600 | | 1/5x+2/5=0 | | 1/5x+2/5=3600 | | y=2(6+-1y) | | x^2+x/5x-20 | | x+1/4-x | | 4x-(2x)=8 | | p(x)=10(28)-7 | | p(x)=10(24)-7 | | p(x)=10(11)-7 | | x-25=11 | | p(x)=10(10)-7 | | (8+x)(2x+9)=0 | | p(30)=10(30)-7 | | p(8)=10(8)-7 | | p(24)=10(24)-7 | | 0.1*-0.2= | | 4r=r-5 | | 6x-12=2x+29 | | 4(p-3)=28 | | 4/5y=28 | | 3x-6=4(6-3x) | | 4x=3/4 | | 3x-10=2x-8x+4 | | (2xy-3x)(6xy+9x)= | | 9x=6(3+x) | | 2+3(4+x)=1-5(6-x) | | 20/12 | | 4-8x=7x-12 | | (2xy-3x)(6xy+9)= | | 16/40 | | 24/32 |

Equations solver categories