x^2-3x-198=0

Simple and best practice solution for x^2-3x-198=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^2-3x-198=0 equation:


Simplifying
x2 + -3x + -198 = 0

Reorder the terms:
-198 + -3x + x2 = 0

Solving
-198 + -3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '198' to each side of the equation.
-198 + -3x + 198 + x2 = 0 + 198

Reorder the terms:
-198 + 198 + -3x + x2 = 0 + 198

Combine like terms: -198 + 198 = 0
0 + -3x + x2 = 0 + 198
-3x + x2 = 0 + 198

Combine like terms: 0 + 198 = 198
-3x + x2 = 198

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 198 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 198 + 2.25

Combine like terms: 198 + 2.25 = 200.25
2.25 + -3x + x2 = 200.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 200.25

Calculate the square root of the right side: 14.150971698

Break this problem into two subproblems by setting 
(x + -1.5) equal to 14.150971698 and -14.150971698.

Subproblem 1

x + -1.5 = 14.150971698 Simplifying x + -1.5 = 14.150971698 Reorder the terms: -1.5 + x = 14.150971698 Solving -1.5 + x = 14.150971698 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 14.150971698 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 14.150971698 + 1.5 x = 14.150971698 + 1.5 Combine like terms: 14.150971698 + 1.5 = 15.650971698 x = 15.650971698 Simplifying x = 15.650971698

Subproblem 2

x + -1.5 = -14.150971698 Simplifying x + -1.5 = -14.150971698 Reorder the terms: -1.5 + x = -14.150971698 Solving -1.5 + x = -14.150971698 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -14.150971698 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -14.150971698 + 1.5 x = -14.150971698 + 1.5 Combine like terms: -14.150971698 + 1.5 = -12.650971698 x = -12.650971698 Simplifying x = -12.650971698

Solution

The solution to the problem is based on the solutions from the subproblems. x = {15.650971698, -12.650971698}

See similar equations:

| (4-3i)+(-2+6i)= | | 3x^2=21x+24 | | 11/5x3/2 | | 5x+7=55 | | Y=-1/4(-2)-2 | | 3/2x11/5 | | 2a-(7+3a)+(3-5a)= | | x^2+4x-2=14 | | 0.004(1/4)^n | | 40x^4-10x^2=y | | f(x)=16x^2+96x | | 2(x-3)+5(x-7)=0 | | 3/4*2/3 | | 3x+1y=407 | | x−2+x−1=4 | | |x−2|+|x−1|=4 | | 3/2x1/5 | | x-(5-2x)=3x+4 | | 7x^2-5x-24=0 | | 4x^2-56+192=0 | | X^2+3=6x | | -8(x+6)+265=11+14 | | 1/10+2/5 | | 17-10+x=12 | | 4w-2(1-w)=-28 | | 4x-2(x-2)=-9+5x+1 | | y=5/12x+1 | | -13+2x=15 | | 10x^3-8x^3+25x-20=0 | | 8x^2+9x=-1 | | 7x-[2(x^2-z)+4x^2-7z]+6z^2= | | v-3+ -1= -3 |

Equations solver categories