6q^2+4q=5q^2+-2q+16

Simple and best practice solution for 6q^2+4q=5q^2+-2q+16 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 6q^2+4q=5q^2+-2q+16 equation: 


Simplifying
6q2 + 4q = 5q2 + -2q + 16

Reorder the terms:
4q + 6q2 = 5q2 + -2q + 16

Reorder the terms:
4q + 6q2 = 16 + -2q + 5q2

Solving
4q + 6q2 = 16 + -2q + 5q2

Solving for variable 'q'.

Reorder the terms:
-16 + 4q + 2q + 6q2 + -5q2 = 16 + -2q + 5q2 + -16 + 2q + -5q2

Combine like terms: 4q + 2q = 6q
-16 + 6q + 6q2 + -5q2 = 16 + -2q + 5q2 + -16 + 2q + -5q2

Combine like terms: 6q2 + -5q2 = 1q2
-16 + 6q + 1q2 = 16 + -2q + 5q2 + -16 + 2q + -5q2

Reorder the terms:
-16 + 6q + 1q2 = 16 + -16 + -2q + 2q + 5q2 + -5q2

Combine like terms: 16 + -16 = 0
-16 + 6q + 1q2 = 0 + -2q + 2q + 5q2 + -5q2
-16 + 6q + 1q2 = -2q + 2q + 5q2 + -5q2

Combine like terms: -2q + 2q = 0
-16 + 6q + 1q2 = 0 + 5q2 + -5q2
-16 + 6q + 1q2 = 5q2 + -5q2

Combine like terms: 5q2 + -5q2 = 0
-16 + 6q + 1q2 = 0

Factor a trinomial.
(-8 + -1q)(2 + -1q) = 0


Subproblem 1
Set the factor '(-8 + -1q)' equal to zero and attempt to solve:

Simplifying
-8 + -1q = 0

Solving
-8 + -1q = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1q = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1q = 0 + 8
-1q = 0 + 8

Combine like terms: 0 + 8 = 8
-1q = 8

Divide each side by '-1'.
q = -8

Simplifying
q = -8

Subproblem 2
Set the factor '(2 + -1q)' equal to zero and attempt to solve:

Simplifying
2 + -1q = 0

Solving
2 + -1q = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1q = 0 + -2
-1q = 0 + -2

Combine like terms: 0 + -2 = -2
-1q = -2

Divide each side by '-1'.
q = 2

Simplifying
q = 2
Solution
q = {-8, 2}

See similar equations:

| 12-3m=1 | | 18-4-2=16 | | (X+3)(x+3)=x^2-3(1-x) | | 11=10-k | | 3x^2-9x/2x-6 | | .16(x-7)+.08x=.14x-.03(70) | | 2n^2-24=0 | | -3(t-6)-(t+4)=9 | | 3x^2-9x/2x-6=0 | | 9-7y=25-3y | | v*t=(v-4)*(t+1) | | X^3-15x^2+62x-72=0 | | 3(2x+2)=6(5x+2)+6 | | X+5+2y=28 | | 1/5×=4/5 | | 2.1+4.2x=1.4y | | f(x)=x-4x+7 | | 80/90 | | v^3-17v^2+60v=0 | | 2+6(x-9)=6-7(x-6) | | 5y-xy-y^2=0 | | 6-9y=4x | | k^2+13k=36 | | 3x(-16)= | | .20x+.15(30)=23.5 | | 5-(2x+3)=2(x+1) | | x^2+23x+76=4x^2+8x+4 | | 3x-6=1x+8 | | 5/9*x-1/3=3 | | 8x-31+5y+35=180 | | 8.6x+82.04=11.4x+81.9 | | y=4sin(5x) |

Equations solver categories