4x^2+16x=24

Simple and best practice solution for 4x^2+16x=24 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+16x=24 equation:


Simplifying
4x2 + 16x = 24

Reorder the terms:
16x + 4x2 = 24

Solving
16x + 4x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 16x + 4x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 16x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 4x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-6 + 4x + x2)' equal to zero and attempt to solve: Simplifying -6 + 4x + x2 = 0 Solving -6 + 4x + x2 = 0 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}

Solution

x = {1.16227766, -5.16227766}

See similar equations:

| -5n+1-2n+n-4=5 | | 5x+9+3y+8=180 | | y^2+8y+11=0 | | 4w-7=17 | | 200=7(5-4b)-5b | | 5x+4(4x+8)=10 | | 5x+9+3y+8=108 | | -3n-8(1+7)=-8 | | 6(6-w)+3=-3(w-3)-11 | | 19-(-18)-(-14)= | | t*2t=0 | | 22+2x=0.5 | | X-3(-3x+12)=14 | | F(x)=2x^3-10x^2-8x-40 | | 10s-13=8s-10 | | 8k+5=77 | | 1/2n-16 | | s(2)fors(t)=t^2-3t+1 | | 3x=3/7*7/3 | | 46-3x=10-7x | | -6r-4(5r+9)=12-10r | | d/dx(4e^x)cos(x) | | 4x-4(5x-4)=16 | | 5x-4-3x=-32 | | 7p+4=11 | | N-(-6)=56 | | 1/10=4/5 | | 5+x-14=2x-7 | | 5x-4-3x=32 | | 3(2b+2)=-30 | | 6-4[5-(5y-2)]= | | N-4=33 |

Equations solver categories