3q^2+14q-8=8q-8

Simple and best practice solution for 3q^2+14q-8=8q-8 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 3q^2+14q-8=8q-8 equation: 


Simplifying
3q2 + 14q + -8 = 8q + -8

Reorder the terms:
-8 + 14q + 3q2 = 8q + -8

Reorder the terms:
-8 + 14q + 3q2 = -8 + 8q

Add '8' to each side of the equation.
-8 + 14q + 8 + 3q2 = -8 + 8 + 8q

Reorder the terms:
-8 + 8 + 14q + 3q2 = -8 + 8 + 8q

Combine like terms: -8 + 8 = 0
0 + 14q + 3q2 = -8 + 8 + 8q
14q + 3q2 = -8 + 8 + 8q

Combine like terms: -8 + 8 = 0
14q + 3q2 = 0 + 8q
14q + 3q2 = 8q

Solving
14q + 3q2 = 8q

Solving for variable 'q'.

Reorder the terms:
14q + -8q + 3q2 = 8q + -8q

Combine like terms: 14q + -8q = 6q
6q + 3q2 = 8q + -8q

Combine like terms: 8q + -8q = 0
6q + 3q2 = 0

Factor out the Greatest Common Factor (GCF), '3q'.
3q(2 + q) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0

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

Simplifying
2 + q = 0

Solving
2 + q = 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 + q = 0 + -2

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

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

Simplifying
q = -2
Solution
q = {0, -2}

See similar equations:

| 2(8-x)(x+3)=0 | | 14-(29+5)=-2q+9 | | 3t^2+18t=0 | | -3(2-a)-2=-5a+8(-2a+8) | | x^2+2x-19=-5 | | 3(x^2-2y+6)= | | 1650-4y=13x | | -3(2-a)-2=-5a+8(-2-8) | | 3(5(2)+2)= | | 3(5(6)+2)=36 | | 4y+6y^2+5+2y^2+3= | | 5x-4=2+x | | 2x+4(3x-7)=-8(4-2x) | | x-15=-2x+6 | | -(-v-3)=2v-8(v-3) | | 6(m+6)=7(m+4) | | 4(n+5)-6=6n-18 | | 5x+4=48 | | 6x^3+57x^2-30x=0 | | 7v-8+8-4v=-3(v+2)+6(4v-8) | | 3(x-3)=72/12 | | .35x+.05(14-x)=.1(-41) | | 15+8p=9p | | 2(v-1)=6v+2 | | 8z+5-2z=7z | | 4(2x+7)=36 | | -0.03x+1800-0.12x=680 | | -3(3b+5)=-3(2+4b) | | 7+4+n=18 | | -(8+8m)=-8(m-8) | | X=8(3.14j) | | x^2+2x+1=-1 |

Equations solver categories