1.2q+q^2=.64

Simple and best practice solution for 1.2q+q^2=.64 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 1.2q+q^2=.64 equation: 


Simplifying
1.2q + q2 = 0.64

Solving
1.2q + q2 = 0.64

Solving for variable 'q'.

Reorder the terms:
-0.64 + 1.2q + q2 = 0.64 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
-0.64 + 1.2q + q2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '0.64' to each side of the equation.
-0.64 + 1.2q + 0.64 + q2 = 0.00 + 0.64

Reorder the terms:
-0.64 + 0.64 + 1.2q + q2 = 0.00 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + 1.2q + q2 = 0.00 + 0.64
1.2q + q2 = 0.00 + 0.64

Combine like terms: 0.00 + 0.64 = 0.64
1.2q + q2 = 0.64

The q term is 1.2q.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2q + 0.36 + q2 = 0.64 + 0.36

Reorder the terms:
0.36 + 1.2q + q2 = 0.64 + 0.36

Combine like terms: 0.64 + 0.36 = 1
0.36 + 1.2q + q2 = 1

Factor a perfect square on the left side:
(q + 0.6)(q + 0.6) = 1

Calculate the square root of the right side: 1

Break this problem into two subproblems by setting 
(q + 0.6) equal to 1 and -1.


Subproblem 1
q + 0.6 = 1

Simplifying
q + 0.6 = 1

Reorder the terms:
0.6 + q = 1

Solving
0.6 + q = 1

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-0.6' to each side of the equation.
0.6 + -0.6 + q = 1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + q = 1 + -0.6
q = 1 + -0.6

Combine like terms: 1 + -0.6 = 0.4
q = 0.4

Simplifying
q = 0.4


Subproblem 2
q + 0.6 = -1

Simplifying
q + 0.6 = -1

Reorder the terms:
0.6 + q = -1

Solving
0.6 + q = -1

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-0.6' to each side of the equation.
0.6 + -0.6 + q = -1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + q = -1 + -0.6
q = -1 + -0.6

Combine like terms: -1 + -0.6 = -1.6
q = -1.6

Simplifying
q = -1.6


Solution
The solution to the problem is based on the solutions
from the subproblems.
q = {0.4, -1.6}

See similar equations:

| x=-30 | | m+3m+1=7 | | 2916*4= | | 816+616+754+730= | | 0=-2x^2+14x-12 | | .5(y-3)=12 | | -2x^2=14x-12 | | .3(y-3)=12 | | -19-(-4)+(-3)-11= | | x^2-10x=35 | | .50x^2-x-12=0 | | 5*[2*2+(6-2)*3]-10*2= | | (2x-3)(3x^2+11x+8)=0 | | 3x^2+8x+8=0 | | 4(3)-y=-10 | | -11+-5a=6(5a+4) | | -4(3.9y)=16 | | 3*3*3*3-[25-(11-6)]= | | 3x+9P=98cm | | 4y^2-56y-128=0 | | 15x^2-10x=0 | | -8=n-4 | | 990=s-12,600 | | 4-x+4x=-11 | | 0.21n=3.15-0.14n | | 78-5c+4=60c-48 | | 18x-15-4x+4=5 | | 0.333333333333x=9 | | 6x^2-19x+11=0 | | 8y+6=-11y-2+19y+8 | | (3x+2)(4x-1)=0 | | 3y=-45 |

Equations solver categories