4q^2-6q=3q^2-9q+10

Simple and best practice solution for 4q^2-6q=3q^2-9q+10 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 4q^2-6q=3q^2-9q+10 equation: 


Simplifying
4q2 + -6q = 3q2 + -9q + 10

Reorder the terms:
-6q + 4q2 = 3q2 + -9q + 10

Reorder the terms:
-6q + 4q2 = 10 + -9q + 3q2

Solving
-6q + 4q2 = 10 + -9q + 3q2

Solving for variable 'q'.

Reorder the terms:
-10 + -6q + 9q + 4q2 + -3q2 = 10 + -9q + 3q2 + -10 + 9q + -3q2

Combine like terms: -6q + 9q = 3q
-10 + 3q + 4q2 + -3q2 = 10 + -9q + 3q2 + -10 + 9q + -3q2

Combine like terms: 4q2 + -3q2 = 1q2
-10 + 3q + 1q2 = 10 + -9q + 3q2 + -10 + 9q + -3q2

Reorder the terms:
-10 + 3q + 1q2 = 10 + -10 + -9q + 9q + 3q2 + -3q2

Combine like terms: 10 + -10 = 0
-10 + 3q + 1q2 = 0 + -9q + 9q + 3q2 + -3q2
-10 + 3q + 1q2 = -9q + 9q + 3q2 + -3q2

Combine like terms: -9q + 9q = 0
-10 + 3q + 1q2 = 0 + 3q2 + -3q2
-10 + 3q + 1q2 = 3q2 + -3q2

Combine like terms: 3q2 + -3q2 = 0
-10 + 3q + 1q2 = 0

Factor a trinomial.
(-5 + -1q)(2 + -1q) = 0


Subproblem 1
Set the factor '(-5 + -1q)' equal to zero and attempt to solve:

Simplifying
-5 + -1q = 0

Solving
-5 + -1q = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1q = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1q = 0 + 5
-1q = 0 + 5

Combine like terms: 0 + 5 = 5
-1q = 5

Divide each side by '-1'.
q = -5

Simplifying
q = -5

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 = {-5, 2}

See similar equations:

| -169/-13 | | 4x+3/9=8x+19/18-7x-29/5x-12 | | (-3/4)(-4/7) | | 4(x-5)+x=25 | | 83-4x=23+20 | | 4m^2-21m-18=0 | | 450=x+2/3x+x+2/3x+50 | | 45/x-14=22 | | -8a-10=6 | | 6q^2-5q=5q-9q+21 | | (16x+5)-(5+x+3x)= | | Y=2.5x+1 | | 7x+3x=30 | | x/4+5=x/2-7 | | -2/3+3 | | y=ln(2x)6x | | 5x+10=-26-7 | | X/5-7=-4 | | 3x-2/2x-5+3x-21/5=6x-22/10 | | 0.13x+0.05(70000-x)=5000 | | q^2+3q-10=0 | | -27-5x=12-9x | | X/4+5=-2 | | x/3+x/2=-250/6 | | (5x-1)(9x+4)=0 | | 3x^4+9x^3+x^2+3x=0 | | 3.72x+1.83=1.85x+4.9 | | 2x/3-x/4=-2 | | 4m^2-31m-45=0 | | (7x-8)(3x+6)=0 | | x/7+x/2=9 | | -9n(5n-8)=0 |

Equations solver categories