58.8=4.9x^2+34.3x+0

Simple and best practice solution for 58.8=4.9x^2+34.3x+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 58.8=4.9x^2+34.3x+0 equation:


Simplifying
58.8 = 4.9x2 + 34.3x + 0

Reorder the terms:
58.8 = 0 + 34.3x + 4.9x2
Remove the zero:
58.8 = 34.3x + 4.9x2

Solving
58.8 = 34.3x + 4.9x2

Solving for variable 'x'.

Reorder the terms:
58.8 + -34.3x + -4.9x2 = 34.3x + -34.3x + 4.9x2 + -4.9x2

Combine like terms: 34.3x + -34.3x = 0.0
58.8 + -34.3x + -4.9x2 = 0.0 + 4.9x2 + -4.9x2
58.8 + -34.3x + -4.9x2 = 4.9x2 + -4.9x2

Combine like terms: 4.9x2 + -4.9x2 = 0.0
58.8 + -34.3x + -4.9x2 = 0.0

Begin completing the square.  Divide all terms by
-4.9 the coefficient of the squared term: 

Divide each side by '-4.9'.
-12 + 7x + x2 = 0

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + 7x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + 7x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 7x + x2 = 0 + 12
7x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
7x + x2 = 12

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = 12 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 12 + 12.25

Combine like terms: 12 + 12.25 = 24.25
12.25 + 7x + x2 = 24.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(x + 3.5) equal to 4.924428901 and -4.924428901.

Subproblem 1

x + 3.5 = 4.924428901 Simplifying x + 3.5 = 4.924428901 Reorder the terms: 3.5 + x = 4.924428901 Solving 3.5 + x = 4.924428901 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 4.924428901 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 4.924428901 + -3.5 x = 4.924428901 + -3.5 Combine like terms: 4.924428901 + -3.5 = 1.424428901 x = 1.424428901 Simplifying x = 1.424428901

Subproblem 2

x + 3.5 = -4.924428901 Simplifying x + 3.5 = -4.924428901 Reorder the terms: 3.5 + x = -4.924428901 Solving 3.5 + x = -4.924428901 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -4.924428901 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -4.924428901 + -3.5 x = -4.924428901 + -3.5 Combine like terms: -4.924428901 + -3.5 = -8.424428901 x = -8.424428901 Simplifying x = -8.424428901

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.424428901, -8.424428901}

See similar equations:

| 90=-0.4931x^2+11.077x+34.805 | | (3y-4)(-9y^2+7y+1)= | | 8a^3(4a^5+2a)= | | 4x^2+1=-3x | | 5t-3=26+3(1-t) | | 4x^2+1=3x | | 5t-3=26+3(1-y) | | -5x+9-4(x+2)=3(x-2)+43 | | 6e^1-x=25 | | 4q-2q-q+4q-4q=12 | | 6t/3t^2 | | 7+2(3x-6)=8-5(2x+1) | | 3x+27y=-21 | | 2x-7=8/x-3 | | 1/5x=1= | | 2x+10=3x-16 | | -12=-7-n | | -2.8(x+1.5)=7.6 | | 2x^5-3x^4+x^2=0 | | log(loga)=-0.2 | | 541/4-367/12 | | -2x+11x-9x-9x=18 | | 1/3x=2= | | 8^2x-5=1/32 | | 7m^2+16m+9=0 | | 4x^2/3-9x^1/3=9 | | 34=-6y+4(y+6) | | 3r=4+4+2+r | | ln(1/x)=4.42 | | 5+1=50155 | | (7-y)y=12 | | log(x^2-4x-32)-log(x^2-16)= |

Equations solver categories