16x^2-(-20x)=4x-(-9)

Simple and best practice solution for 16x^2-(-20x)=4x-(-9) 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^2-(-20x)=4x-(-9) equation:


Simplifying
16x2 + -1(-20x) = 4x + -1(-9)

Remove parenthesis around (-20x)
16x2 + -1 * -20x = 4x + -1(-9)

Multiply -1 * -20
16x2 + 20x = 4x + -1(-9)

Reorder the terms:
20x + 16x2 = 4x + -1(-9)

Multiply -1 * -9
20x + 16x2 = 4x + 9

Reorder the terms:
20x + 16x2 = 9 + 4x

Solving
20x + 16x2 = 9 + 4x

Solving for variable 'x'.

Reorder the terms:
-9 + 20x + -4x + 16x2 = 9 + 4x + -9 + -4x

Combine like terms: 20x + -4x = 16x
-9 + 16x + 16x2 = 9 + 4x + -9 + -4x

Reorder the terms:
-9 + 16x + 16x2 = 9 + -9 + 4x + -4x

Combine like terms: 9 + -9 = 0
-9 + 16x + 16x2 = 0 + 4x + -4x
-9 + 16x + 16x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 16x + 16x2 = 0

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

Divide each side by '16'.
-0.5625 + x + x2 = 0

Move the constant term to the right:

Add '0.5625' to each side of the equation.
-0.5625 + x + 0.5625 + x2 = 0 + 0.5625

Reorder the terms:
-0.5625 + 0.5625 + x + x2 = 0 + 0.5625

Combine like terms: -0.5625 + 0.5625 = 0.0000
0.0000 + x + x2 = 0 + 0.5625
x + x2 = 0 + 0.5625

Combine like terms: 0 + 0.5625 = 0.5625
x + x2 = 0.5625

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = 0.5625 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = 0.5625 + 0.25

Combine like terms: 0.5625 + 0.25 = 0.8125
1.25 + x2 = 0.8125

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.8125

Calculate the square root of the right side: 0.901387819

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.901387819 and -0.901387819.

Subproblem 1

x + 0.5 = 0.901387819 Simplifying x + 0.5 = 0.901387819 Reorder the terms: 0.5 + x = 0.901387819 Solving 0.5 + x = 0.901387819 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.901387819 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.901387819 + -0.5 x = 0.901387819 + -0.5 Combine like terms: 0.901387819 + -0.5 = 0.401387819 x = 0.401387819 Simplifying x = 0.401387819

Subproblem 2

x + 0.5 = -0.901387819 Simplifying x + 0.5 = -0.901387819 Reorder the terms: 0.5 + x = -0.901387819 Solving 0.5 + x = -0.901387819 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -0.901387819 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.901387819 + -0.5 x = -0.901387819 + -0.5 Combine like terms: -0.901387819 + -0.5 = -1.401387819 x = -1.401387819 Simplifying x = -1.401387819

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.401387819, -1.401387819}

See similar equations:

| 2(3-4x)-13=7 | | x-x=-10 | | 4x^2+2x=-2x-1 | | x^2+17x+8=0 | | 2x^2-8x-1=0 | | 17m=2 | | -2x^2+10x=15 | | -1x^2-3x+1=0 | | 2/3+x=1/5+1/25 | | 2x^4+2x^3+24x^2=0 | | -14+8=x+9 | | x^2+3x=2-2x | | -5x^2+16x-6=3 | | x^2-5x-6=18 | | x^2+9x-2=-16 | | 0=x^2-3x-1 | | 44-4x=14x+22 | | 0=t^2-9t+5 | | C+2C=90 | | (x+1)(x-2)=5 | | X^3-7x^2+6x=0 | | 7h+3=5h+15 | | -4x+2=2-4x | | 6p+9=13+5p | | 2x^2+22x+8=0 | | 5x+26x+9=10x+5 | | 8x-3y=-11 | | (3x^2+4x-3)-(x^2-2x+3)= | | 4x^2-8x+12=0 | | 2(x+3)-4(x+5)=3 | | 6x^2+20x-16=0 | | 0.6z+4.3=4.9z |

Equations solver categories