x^2+19x-4.9=0

Simple and best practice solution for x^2+19x-4.9=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+19x-4.9=0 equation:


Simplifying
x2 + 19x + -4.9 = 0

Reorder the terms:
-4.9 + 19x + x2 = 0

Solving
-4.9 + 19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '4.9' to each side of the equation.
-4.9 + 19x + 4.9 + x2 = 0 + 4.9

Reorder the terms:
-4.9 + 4.9 + 19x + x2 = 0 + 4.9

Combine like terms: -4.9 + 4.9 = 0.0
0.0 + 19x + x2 = 0 + 4.9
19x + x2 = 0 + 4.9

Combine like terms: 0 + 4.9 = 4.9
19x + x2 = 4.9

The x term is 19x.  Take half its coefficient (9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
19x + 90.25 + x2 = 4.9 + 90.25

Reorder the terms:
90.25 + 19x + x2 = 4.9 + 90.25

Combine like terms: 4.9 + 90.25 = 95.15
90.25 + 19x + x2 = 95.15

Factor a perfect square on the left side:
(x + 9.5)(x + 9.5) = 95.15

Calculate the square root of the right side: 9.754486147

Break this problem into two subproblems by setting 
(x + 9.5) equal to 9.754486147 and -9.754486147.

Subproblem 1

x + 9.5 = 9.754486147 Simplifying x + 9.5 = 9.754486147 Reorder the terms: 9.5 + x = 9.754486147 Solving 9.5 + x = 9.754486147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + x = 9.754486147 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + x = 9.754486147 + -9.5 x = 9.754486147 + -9.5 Combine like terms: 9.754486147 + -9.5 = 0.254486147 x = 0.254486147 Simplifying x = 0.254486147

Subproblem 2

x + 9.5 = -9.754486147 Simplifying x + 9.5 = -9.754486147 Reorder the terms: 9.5 + x = -9.754486147 Solving 9.5 + x = -9.754486147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + x = -9.754486147 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + x = -9.754486147 + -9.5 x = -9.754486147 + -9.5 Combine like terms: -9.754486147 + -9.5 = -19.254486147 x = -19.254486147 Simplifying x = -19.254486147

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.254486147, -19.254486147}

See similar equations:

| 2/3*(x/b+1)=3/4(x/b-1) | | 2/3(6)-4/7=4 | | x/2(18+2x) | | logx=1.6873 | | 6x-48=8 | | 16x+12=x | | (3x-5)=2.5x+3-(x-6) | | -3/8+x=-5/24 | | 1/4*(6-5x)-1/6(5-4x)=1/5(4-6x) | | y-5/8*3+5 | | (1/4*(6-5x))-1/6(5-4x)=1/5(4-6x) | | -4(3a+2)=-92 | | 7a^2+7= | | 12a^5b^-2/8a^-3b^7 | | 5=ln(1/x) | | 100+X*5/100 | | 5t^2-25t-2=h | | x/26=22 | | (m-2)-5=8-2 | | 7.2+10= | | y=x^2+8x+21 | | 72/10= | | -17r=306 | | 1.68j+1.24=13 | | (1/3x)+((6x-9)/3x)=(3x-3)/4x | | 24*4= | | 3/4t+7/8t=39 | | 5-2m=3m-5 | | 4x+9y=2 | | 72/3*4-2+10=-6 | | 20b^2-245= | | 14-y=1 |

Equations solver categories