16x-139=-2x^2

Simple and best practice solution for 16x-139=-2x^2 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 16x-139=-2x^2 equation:


Simplifying
16x + -139 = -2x2

Reorder the terms:
-139 + 16x = -2x2

Solving
-139 + 16x = -2x2

Solving for variable 'x'.

Combine like terms: -2x2 + 2x2 = 0
-139 + 16x + 2x2 = 0

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

Divide each side by '2'.
-69.5 + 8x + x2 = 0

Move the constant term to the right:

Add '69.5' to each side of the equation.
-69.5 + 8x + 69.5 + x2 = 0 + 69.5

Reorder the terms:
-69.5 + 69.5 + 8x + x2 = 0 + 69.5

Combine like terms: -69.5 + 69.5 = 0.0
0.0 + 8x + x2 = 0 + 69.5
8x + x2 = 0 + 69.5

Combine like terms: 0 + 69.5 = 69.5
8x + x2 = 69.5

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = 69.5 + 16

Reorder the terms:
16 + 8x + x2 = 69.5 + 16

Combine like terms: 69.5 + 16 = 85.5
16 + 8x + x2 = 85.5

Factor a perfect square on the left side:
(x + 4)(x + 4) = 85.5

Calculate the square root of the right side: 9.246621004

Break this problem into two subproblems by setting 
(x + 4) equal to 9.246621004 and -9.246621004.

Subproblem 1

x + 4 = 9.246621004 Simplifying x + 4 = 9.246621004 Reorder the terms: 4 + x = 9.246621004 Solving 4 + x = 9.246621004 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 9.246621004 + -4 Combine like terms: 4 + -4 = 0 0 + x = 9.246621004 + -4 x = 9.246621004 + -4 Combine like terms: 9.246621004 + -4 = 5.246621004 x = 5.246621004 Simplifying x = 5.246621004

Subproblem 2

x + 4 = -9.246621004 Simplifying x + 4 = -9.246621004 Reorder the terms: 4 + x = -9.246621004 Solving 4 + x = -9.246621004 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -9.246621004 + -4 Combine like terms: 4 + -4 = 0 0 + x = -9.246621004 + -4 x = -9.246621004 + -4 Combine like terms: -9.246621004 + -4 = -13.246621004 x = -13.246621004 Simplifying x = -13.246621004

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.246621004, -13.246621004}

See similar equations:

| x^2-100=15x | | 4y-4+y+38=7y+40-5y | | (5x-6)+11= | | 2.25x=9x+11 | | .4x-.3=.14 | | 96-(5x+4)=5(x+3)+x | | 14.9=8.6+0.6m | | 13-3p=-15+(-10p) | | 7(5x-4)-1=14-8a | | (p^2+4p-23)-(3p^2-23p-23)= | | 1/2-n=5+4n | | 6+(-5x)=-34 | | 7x(x+5y+z)= | | 0.3x+1.8=0.4+2.0-0.2 | | 15-w/8=3w/4-21 | | 6+(-5x)=-24 | | y=-(x+2)2-4 | | (x^2-1)(-1-(x-3))=y | | 3x-6=-10 | | 7u+2v-7(4u-8v)= | | M+k*h=w | | 25x-20=5 | | 12+3(-2x+1)=-15 | | 14w-8=9w-24 | | 6x^4-3x^2-3=(2x^2+1)(3x^2-3) | | l=3w+5 | | 2x-29=15 | | x+6=100 | | 2y+12=9(y-1) | | 6x+7y=3 | | 5b-4(b-8)=2+2b | | -4x^3-15x^2-18x-5=0 |

Equations solver categories