4q^2-4q=3q^2-7q+28

Simple and best practice solution for 4q^2-4q=3q^2-7q+28 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^2-4q=3q^2-7q+28 equation: 


Simplifying
4q2 + -4q = 3q2 + -7q + 28

Reorder the terms:
-4q + 4q2 = 3q2 + -7q + 28

Reorder the terms:
-4q + 4q2 = 28 + -7q + 3q2

Solving
-4q + 4q2 = 28 + -7q + 3q2

Solving for variable 'q'.

Reorder the terms:
-28 + -4q + 7q + 4q2 + -3q2 = 28 + -7q + 3q2 + -28 + 7q + -3q2

Combine like terms: -4q + 7q = 3q
-28 + 3q + 4q2 + -3q2 = 28 + -7q + 3q2 + -28 + 7q + -3q2

Combine like terms: 4q2 + -3q2 = 1q2
-28 + 3q + 1q2 = 28 + -7q + 3q2 + -28 + 7q + -3q2

Reorder the terms:
-28 + 3q + 1q2 = 28 + -28 + -7q + 7q + 3q2 + -3q2

Combine like terms: 28 + -28 = 0
-28 + 3q + 1q2 = 0 + -7q + 7q + 3q2 + -3q2
-28 + 3q + 1q2 = -7q + 7q + 3q2 + -3q2

Combine like terms: -7q + 7q = 0
-28 + 3q + 1q2 = 0 + 3q2 + -3q2
-28 + 3q + 1q2 = 3q2 + -3q2

Combine like terms: 3q2 + -3q2 = 0
-28 + 3q + 1q2 = 0

Factor a trinomial.
(-7 + -1q)(4 + -1q) = 0


Subproblem 1
Set the factor '(-7 + -1q)' equal to zero and attempt to solve:

Simplifying
-7 + -1q = 0

Solving
-7 + -1q = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1q = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1q = 0 + 7
-1q = 0 + 7

Combine like terms: 0 + 7 = 7
-1q = 7

Divide each side by '-1'.
q = -7

Simplifying
q = -7

Subproblem 2
Set the factor '(4 + -1q)' equal to zero and attempt to solve:

Simplifying
4 + -1q = 0

Solving
4 + -1q = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1q = 0 + -4
-1q = 0 + -4

Combine like terms: 0 + -4 = -4
-1q = -4

Divide each side by '-1'.
q = 4

Simplifying
q = 4
Solution
q = {-7, 4}

See similar equations:

| -4=.5x-4 | | 3+2(x+2)=23 | | Y-(2y+6)=5y+3 | | 4+2y=20 | | 2w-6= | | 15=-3(x-4) | | x^3-8*ln(x)=0 | | 11x=24+8xl | | x-9.68=3.67 | | -4(5y-3)-y=-2(y-2) | | 2x(-3x^2+12x)= | | (-6+2t)(7)= | | x+9.68=3.67 | | -4k+9=-5k | | 37x+9=6(6x+3) | | 6=-2*-6.5+7 | | 2b^3(8b+6b^6)=0 | | y+3.3=8.91 | | 3(k-5)=-3(k+9) | | 9y+13=6y-5 | | -4u+48=4(u-8) | | Sin(x)=(x+38) | | 6y=-1 | | x+3.8=7.67 | | 6=-2*6.5+7 | | -8y+5(y-7)=-23 | | -7(a+5)=-32-8a | | (-7+4p)(-6)= | | 3.5=5.9-0.6x | | 6=-2x+7 | | 5y^2+24y+16=0 | | 2x^6+14x^3=16 |

Equations solver categories