.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
0.5x2 + 2x + -30 = 0

Reorder the terms:
-30 + 2x + 0.5x2 = 0

Solving
-30 + 2x + 0.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.5'.
-60 + 4x + x2 = 0

Move the constant term to the right:

Add '60' to each side of the equation.
-60 + 4x + 60 + x2 = 0 + 60

Reorder the terms:
-60 + 60 + 4x + x2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 4x + x2 = 0 + 60
4x + x2 = 0 + 60

Combine like terms: 0 + 60 = 60
4x + x2 = 60

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 60 + 4

Reorder the terms:
4 + 4x + x2 = 60 + 4

Combine like terms: 60 + 4 = 64
4 + 4x + x2 = 64

Factor a perfect square on the left side:
(x + 2)(x + 2) = 64

Calculate the square root of the right side: 8

Break this problem into two subproblems by setting 
(x + 2) equal to 8 and -8.

Subproblem 1

x + 2 = 8 Simplifying x + 2 = 8 Reorder the terms: 2 + x = 8 Solving 2 + x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + x = 8 + -2 x = 8 + -2 Combine like terms: 8 + -2 = 6 x = 6 Simplifying x = 6

Subproblem 2

x + 2 = -8 Simplifying x + 2 = -8 Reorder the terms: 2 + x = -8 Solving 2 + x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + x = -8 + -2 x = -8 + -2 Combine like terms: -8 + -2 = -10 x = -10 Simplifying x = -10

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6, -10}

See similar equations:

| 10w^2-200=0 | | 8x+-2=6x | | 8x-2=6x | | w^2+11w-200=0 | | lnx=-4.833559 | | (8b^4-b^3)-(b^4+4b^3-4)= | | 4x^4+2x^3-108x-54=0 | | y^2+8x+16=0 | | x^3-9*x-1=0 | | y^2+6x+14y+43=0 | | 2y^2+14y+43=0 | | -16x^2+64x+128=0 | | -16x^2+64x+28=0 | | 8(-2x^2+8x+4)=0 | | 16x^2-25y^2+32x-100y+84=0 | | 0=x(5x+.5)-168 | | 32x^2-9x=0 | | 300=p(.03)(10) | | -16t^2+64x+32=0 | | 13r+1=3r-19 | | 6-24=48 | | 9x^2+2=10 | | 2x-3y+z=1 | | 9h+5=86 | | 5x-9=15-x | | 4x-2y+2z=6 | | 18x-(18x-6)=96 | | 7+(-3+-4y)=28 | | 32x^2-9x-24=0 | | y-130=6.5(x-0) | | 0=5x^2-2x+6 | | 16x=x+60 |

Equations solver categories