1x^2+2x-170=0

Simple and best practice solution for 1x^2+2x-170=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 1x^2+2x-170=0 equation:


Simplifying
1x2 + 2x + -170 = 0

Reorder the terms:
-170 + 2x + 1x2 = 0

Solving
-170 + 2x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '170' to each side of the equation.
-170 + 2x + 170 + x2 = 0 + 170

Reorder the terms:
-170 + 170 + 2x + x2 = 0 + 170

Combine like terms: -170 + 170 = 0
0 + 2x + x2 = 0 + 170
2x + x2 = 0 + 170

Combine like terms: 0 + 170 = 170
2x + x2 = 170

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 170 + 1

Reorder the terms:
1 + 2x + x2 = 170 + 1

Combine like terms: 170 + 1 = 171
1 + 2x + x2 = 171

Factor a perfect square on the left side:
(x + 1)(x + 1) = 171

Calculate the square root of the right side: 13.076696831

Break this problem into two subproblems by setting 
(x + 1) equal to 13.076696831 and -13.076696831.

Subproblem 1

x + 1 = 13.076696831 Simplifying x + 1 = 13.076696831 Reorder the terms: 1 + x = 13.076696831 Solving 1 + x = 13.076696831 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 13.076696831 + -1 Combine like terms: 1 + -1 = 0 0 + x = 13.076696831 + -1 x = 13.076696831 + -1 Combine like terms: 13.076696831 + -1 = 12.076696831 x = 12.076696831 Simplifying x = 12.076696831

Subproblem 2

x + 1 = -13.076696831 Simplifying x + 1 = -13.076696831 Reorder the terms: 1 + x = -13.076696831 Solving 1 + x = -13.076696831 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -13.076696831 + -1 Combine like terms: 1 + -1 = 0 0 + x = -13.076696831 + -1 x = -13.076696831 + -1 Combine like terms: -13.076696831 + -1 = -14.076696831 x = -14.076696831 Simplifying x = -14.076696831

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.076696831, -14.076696831}

See similar equations:

| 8x-6x=10 | | 7y-5=8y | | .66666q^3-q^2=100 | | -2u(9u+4)= | | 2x^2+4x-340=0 | | 3x-13=5(x-3)+12x | | x-1=-45+5x | | 3y=2x-3 | | -4x+8=4(x-4)-8 | | 2x-27=x+5 | | 4+6x=4x-18 | | 6x+4=2x+2 | | 5+7x=-2x-13 | | 5x^3+20x-2=0 | | 1x^2+2x-143=0 | | 8+2m=2(m-6) | | 10(5c-1)-12=48c+10 | | .25x^2-kx+.25=0 | | 25x^2+30x+18=0 | | -9(t+3)=0 | | 4y^2+2y-1=0 | | 4x+14-3x=-8-11 | | 4x-(-2)=8+2x | | -4(y-6)=(-9+y)(2) | | -2x-2x=12-4 | | x^2-kx+16=0 | | 4x^2-28x=49 | | 4x^2-kx+9=0 | | -4+x=2(x-5) | | 3/5=15/6 | | 7x+1+2x-1=90 | | 4h/7-15=177/14+15 |

Equations solver categories