-49x^2+30x+20=

Simple and best practice solution for -49x^2+30x+20= 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 -49x^2+30x+20= equation:


Simplifying
-49x2 + 30x + 20 = 0

Reorder the terms:
20 + 30x + -49x2 = 0

Solving
20 + 30x + -49x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-49 the coefficient of the squared term: 

Divide each side by '-49'.
-0.4081632653 + -0.612244898x + x2 = 0

Move the constant term to the right:

Add '0.4081632653' to each side of the equation.
-0.4081632653 + -0.612244898x + 0.4081632653 + x2 = 0 + 0.4081632653

Reorder the terms:
-0.4081632653 + 0.4081632653 + -0.612244898x + x2 = 0 + 0.4081632653

Combine like terms: -0.4081632653 + 0.4081632653 = 0.0000000000
0.0000000000 + -0.612244898x + x2 = 0 + 0.4081632653
-0.612244898x + x2 = 0 + 0.4081632653

Combine like terms: 0 + 0.4081632653 = 0.4081632653
-0.612244898x + x2 = 0.4081632653

The x term is -0.612244898x.  Take half its coefficient (-0.306122449).
Square it (0.09371095378) and add it to both sides.

Add '0.09371095378' to each side of the equation.
-0.612244898x + 0.09371095378 + x2 = 0.4081632653 + 0.09371095378

Reorder the terms:
0.09371095378 + -0.612244898x + x2 = 0.4081632653 + 0.09371095378

Combine like terms: 0.4081632653 + 0.09371095378 = 0.50187421908
0.09371095378 + -0.612244898x + x2 = 0.50187421908

Factor a perfect square on the left side:
(x + -0.306122449)(x + -0.306122449) = 0.50187421908

Calculate the square root of the right side: 0.708430815

Break this problem into two subproblems by setting 
(x + -0.306122449) equal to 0.708430815 and -0.708430815.

Subproblem 1

x + -0.306122449 = 0.708430815 Simplifying x + -0.306122449 = 0.708430815 Reorder the terms: -0.306122449 + x = 0.708430815 Solving -0.306122449 + x = 0.708430815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.306122449' to each side of the equation. -0.306122449 + 0.306122449 + x = 0.708430815 + 0.306122449 Combine like terms: -0.306122449 + 0.306122449 = 0.000000000 0.000000000 + x = 0.708430815 + 0.306122449 x = 0.708430815 + 0.306122449 Combine like terms: 0.708430815 + 0.306122449 = 1.014553264 x = 1.014553264 Simplifying x = 1.014553264

Subproblem 2

x + -0.306122449 = -0.708430815 Simplifying x + -0.306122449 = -0.708430815 Reorder the terms: -0.306122449 + x = -0.708430815 Solving -0.306122449 + x = -0.708430815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.306122449' to each side of the equation. -0.306122449 + 0.306122449 + x = -0.708430815 + 0.306122449 Combine like terms: -0.306122449 + 0.306122449 = 0.000000000 0.000000000 + x = -0.708430815 + 0.306122449 x = -0.708430815 + 0.306122449 Combine like terms: -0.708430815 + 0.306122449 = -0.402308366 x = -0.402308366 Simplifying x = -0.402308366

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.014553264, -0.402308366}

See similar equations:

| -19-(-46+33+-17)-(18)=x | | 180+-5x= | | -8=x-8-4x+3x | | 2.50p=8.50p | | 2(z-24)+4(z-4)=38 | | a7+57=27 | | 2(3x-7)=8x+7-2x | | 5y-10+y+18=8y+20-6y | | 16-4x+1+5=1+x+2x | | 2(10x+20)=35 | | 4x-2x+8=4x+1 | | 13-4a=1-a | | -4(x+5)=-2(10+-4x) | | X+5x-180= | | 56x^2+17x-3= | | -19-(-46+33+-17)-18=x | | 5(2x-4)-3(4x+2)=3x+7 | | 7x+2=11x-34 | | x^2-6x+9=3x-9 | | 6x+1=2x-x+21 | | .3333h-9=6-.3333h | | (8)+(-3)= | | 35-3h=-64 | | 10y-7y-1=4y-9 | | 61-b=14 | | -19+-1(-46+33+-17)+-18=x | | 3g-6(6-8)=42 | | 3n+3(n+3)=3 | | 0.875-14= | | -14+9h=67 | | -19-(-46+33-17)-18= | | 2b+8=B+12 |

Equations solver categories