5x^2-2x-30=0

Simple and best practice solution for 5x^2-2x-30=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 5x^2-2x-30=0 equation:


Simplifying
5x2 + -2x + -30 = 0

Reorder the terms:
-30 + -2x + 5x2 = 0

Solving
-30 + -2x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
-6 + -0.4x + x2 = 0

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + -0.4x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + -0.4x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -0.4x + x2 = 0 + 6
-0.4x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
-0.4x + x2 = 6

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = 6 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = 6 + 0.04

Combine like terms: 6 + 0.04 = 6.04
0.04 + -0.4x + x2 = 6.04

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = 6.04

Calculate the square root of the right side: 2.457641145

Break this problem into two subproblems by setting 
(x + -0.2) equal to 2.457641145 and -2.457641145.

Subproblem 1

x + -0.2 = 2.457641145 Simplifying x + -0.2 = 2.457641145 Reorder the terms: -0.2 + x = 2.457641145 Solving -0.2 + x = 2.457641145 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x = 2.457641145 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x = 2.457641145 + 0.2 x = 2.457641145 + 0.2 Combine like terms: 2.457641145 + 0.2 = 2.657641145 x = 2.657641145 Simplifying x = 2.657641145

Subproblem 2

x + -0.2 = -2.457641145 Simplifying x + -0.2 = -2.457641145 Reorder the terms: -0.2 + x = -2.457641145 Solving -0.2 + x = -2.457641145 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x = -2.457641145 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x = -2.457641145 + 0.2 x = -2.457641145 + 0.2 Combine like terms: -2.457641145 + 0.2 = -2.257641145 x = -2.257641145 Simplifying x = -2.257641145

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.657641145, -2.257641145}

See similar equations:

| 2x+24-6x-8=10 | | g(x)=x/x^2-16 | | 4cos^3(x)=cos(3x)+3cos(x) | | X+9.40X= | | 5w^2=-9w-5 | | 9x^2-32=6x | | 69.5(8.75)= | | 9x^2-6x-32=0 | | 50x+80y=650 | | 8-24x=0 | | -16t^2+96t+4= | | 15.5+19+16.25+18.75= | | -16tsquared+96t+4= | | 2/3x*15=17 | | .667c+7=1.6c-2 | | 15-x=16 | | 4y/3-y/4=13/2 | | 0.5x=0.25 | | 8x-20=10x+4 | | 2(2a-5)=42 | | 8x+10=13k-5 | | (2n)(n+10)=75 | | (-a-5)(a-5)=0 | | 5x^2-32-12=0 | | (5+n)(15+n)(.5)=0 | | (4h-2)(4h+2)= | | 4x^4+12x^3+68x^2+52x-136=0 | | 2y^2=2x^2+x+2 | | 5x-4x=-1 | | 400-0.5(400/5+300)=210 | | b^3+q^3= | | 5k+6-6k+2=19 |

Equations solver categories