4x^2+44x-8=0

Simple and best practice solution for 4x^2+44x-8=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 4x^2+44x-8=0 equation:


Simplifying
4x2 + 44x + -8 = 0

Reorder the terms:
-8 + 44x + 4x2 = 0

Solving
-8 + 44x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 11x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-2 + 11x + x2)' equal to zero and attempt to solve: Simplifying -2 + 11x + x2 = 0 Solving -2 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '2' to each side of the equation. -2 + 11x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 11x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11x + x2 = 0 + 2 11x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 11x + x2 = 2 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = 2 + 30.25 Reorder the terms: 30.25 + 11x + x2 = 2 + 30.25 Combine like terms: 2 + 30.25 = 32.25 30.25 + 11x + x2 = 32.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = 32.25 Calculate the square root of the right side: 5.678908346 Break this problem into two subproblems by setting (x + 5.5) equal to 5.678908346 and -5.678908346.

Subproblem 1

x + 5.5 = 5.678908346 Simplifying x + 5.5 = 5.678908346 Reorder the terms: 5.5 + x = 5.678908346 Solving 5.5 + x = 5.678908346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = 5.678908346 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = 5.678908346 + -5.5 x = 5.678908346 + -5.5 Combine like terms: 5.678908346 + -5.5 = 0.178908346 x = 0.178908346 Simplifying x = 0.178908346

Subproblem 2

x + 5.5 = -5.678908346 Simplifying x + 5.5 = -5.678908346 Reorder the terms: 5.5 + x = -5.678908346 Solving 5.5 + x = -5.678908346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = -5.678908346 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = -5.678908346 + -5.5 x = -5.678908346 + -5.5 Combine like terms: -5.678908346 + -5.5 = -11.178908346 x = -11.178908346 Simplifying x = -11.178908346

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.178908346, -11.178908346}

Solution

x = {0.178908346, -11.178908346}

See similar equations:

| X^3+4x^2-63=0 | | s+11=94 | | Xsquared+2=20 | | 1.06p-3=.71 | | 26-6x=-10y | | 3f=-33 | | 6.4-2.5m=2.2 | | -5x+2=14+7x | | 60=a-9 | | 7n+8=4n+12 | | (Y-6)+0.5Y=15 | | -10x^2+55x-25=0 | | 5g=9 | | 4y+8+-2y=4 | | 10y=26-6 | | a^4-25= | | -4=-4x+7x-10 | | g-55=78 | | 22-6x=4-10y | | -10x^4+61x^3-54x^2-7x+10=0 | | 9x+27=6x+99 | | -1.75t^2+24.5t-56.65=0 | | 3c^3+21c^2-54c=0 | | -7x-9-3x=-49 | | -3x-3(-5x)=3 | | -2(x-3)+1(x-4)=2 | | 356-100=5 | | -2+4x=-8+13x | | 4x-34=76 | | log[5](x^8)=16 | | 2(3+9)+6(5x-7)=10 | | X*(x+1)=1122 |

Equations solver categories