x^2-34x=60

Simple and best practice solution for x^2-34x=60 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^2-34x=60 equation:


Simplifying
x2 + -34x = 60

Reorder the terms:
-34x + x2 = 60

Solving
-34x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + -34x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -34x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '60' to each side of the equation.
-60 + -34x + 60 + x2 = 0 + 60

Reorder the terms:
-60 + 60 + -34x + x2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -34x + x2 = 0 + 60
-34x + x2 = 0 + 60

Combine like terms: 0 + 60 = 60
-34x + x2 = 60

The x term is -34x.  Take half its coefficient (-17).
Square it (289) and add it to both sides.

Add '289' to each side of the equation.
-34x + 289 + x2 = 60 + 289

Reorder the terms:
289 + -34x + x2 = 60 + 289

Combine like terms: 60 + 289 = 349
289 + -34x + x2 = 349

Factor a perfect square on the left side:
(x + -17)(x + -17) = 349

Calculate the square root of the right side: 18.681541692

Break this problem into two subproblems by setting 
(x + -17) equal to 18.681541692 and -18.681541692.

Subproblem 1

x + -17 = 18.681541692 Simplifying x + -17 = 18.681541692 Reorder the terms: -17 + x = 18.681541692 Solving -17 + x = 18.681541692 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 18.681541692 + 17 Combine like terms: -17 + 17 = 0 0 + x = 18.681541692 + 17 x = 18.681541692 + 17 Combine like terms: 18.681541692 + 17 = 35.681541692 x = 35.681541692 Simplifying x = 35.681541692

Subproblem 2

x + -17 = -18.681541692 Simplifying x + -17 = -18.681541692 Reorder the terms: -17 + x = -18.681541692 Solving -17 + x = -18.681541692 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = -18.681541692 + 17 Combine like terms: -17 + 17 = 0 0 + x = -18.681541692 + 17 x = -18.681541692 + 17 Combine like terms: -18.681541692 + 17 = -1.681541692 x = -1.681541692 Simplifying x = -1.681541692

Solution

The solution to the problem is based on the solutions from the subproblems. x = {35.681541692, -1.681541692}

See similar equations:

| (2x+13)+(7x-13)= | | 13=5g/9 | | 152.84=2.96x+15.55 | | 0=2x^3-x^2+6x-3 | | (-30a^14b^8/10a^17b^-2)^3 | | z-(-81)=173 | | 9=-7n+1-6 | | 3x(9x^2+1)=0 | | z-(-30)=0 | | 6p-29=-31+8p | | 4x^2+16x-10=0 | | f4=3/4x+2 | | 2x+17+7x-13= | | 0-z=-30 | | X^4+5x^3-2x^2-20x-8=0 | | 3/w-3-2/w2-9 | | 5Y-(3Y+2)=5(2Y+3)+8 | | 45-17x+6=12x-54x+17x | | 7-z=-11 | | x=-16t^2+96t | | -9(n+1)-(4n-3)=14n | | z-35=11 | | 18x^2+48x+32= | | 3v-8v= | | 1/5(s+2/3)-1/10s=-1/5 | | G-(-15)=2.35 | | y/16 | | 5/2x=2/60 | | 14a^2-56a^3=0 | | x=-t^2+96t | | 5w-9=3(7w+2) | | logx^25=2 |

Equations solver categories