25x^2+350x+49=0

Simple and best practice solution for 25x^2+350x+49=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 25x^2+350x+49=0 equation:


Simplifying
25x2 + 350x + 49 = 0

Reorder the terms:
49 + 350x + 25x2 = 0

Solving
49 + 350x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
1.96 + 14x + x2 = 0

Move the constant term to the right:

Add '-1.96' to each side of the equation.
1.96 + 14x + -1.96 + x2 = 0 + -1.96

Reorder the terms:
1.96 + -1.96 + 14x + x2 = 0 + -1.96

Combine like terms: 1.96 + -1.96 = 0.00
0.00 + 14x + x2 = 0 + -1.96
14x + x2 = 0 + -1.96

Combine like terms: 0 + -1.96 = -1.96
14x + x2 = -1.96

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -1.96 + 49

Reorder the terms:
49 + 14x + x2 = -1.96 + 49

Combine like terms: -1.96 + 49 = 47.04
49 + 14x + x2 = 47.04

Factor a perfect square on the left side:
(x + 7)(x + 7) = 47.04

Calculate the square root of the right side: 6.85857128

Break this problem into two subproblems by setting 
(x + 7) equal to 6.85857128 and -6.85857128.

Subproblem 1

x + 7 = 6.85857128 Simplifying x + 7 = 6.85857128 Reorder the terms: 7 + x = 6.85857128 Solving 7 + x = 6.85857128 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 6.85857128 + -7 Combine like terms: 7 + -7 = 0 0 + x = 6.85857128 + -7 x = 6.85857128 + -7 Combine like terms: 6.85857128 + -7 = -0.14142872 x = -0.14142872 Simplifying x = -0.14142872

Subproblem 2

x + 7 = -6.85857128 Simplifying x + 7 = -6.85857128 Reorder the terms: 7 + x = -6.85857128 Solving 7 + x = -6.85857128 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = -6.85857128 + -7 Combine like terms: 7 + -7 = 0 0 + x = -6.85857128 + -7 x = -6.85857128 + -7 Combine like terms: -6.85857128 + -7 = -13.85857128 x = -13.85857128 Simplifying x = -13.85857128

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.14142872, -13.85857128}

See similar equations:

| (1-1/k^2)*100 | | 23y-9y+19=-79 | | 5(2x+4)=15x+5 | | 2(d/10-4)-4 | | -30x+18y=24 | | (7)2x+9=5(7) | | 5(a-6)+10=3(a-3) | | 5c-4=6d | | 4x=6/9 | | -1x/6-2-3 | | 8+8m= | | -1x/6-2 | | 100-2m=2m | | 5y=10x+4 | | -7w+1z=-18 | | 9x^2-7x-8=0 | | 6x-9w*2y+5w*5x+7y= | | 3y^2=-18y | | 3p(p-10)-6(5-3p)= | | (22-4)-33= | | -0.3y+4.2=6.6 | | 2x-8x=18 | | 9a-41=1000 | | 5x=6y+90 | | 9.37-2.021=8.89 | | 6y+90=5x | | 4x^2+5x=80 | | p+4+p-3= | | 5(x+8)=4(2x+10)-3x | | 8x-4=9x-6 | | 9y+52=14y-3 | | x+u=9 |

Equations solver categories