(x+2)(x+3)=x^2+5x+q

Simple and best practice solution for (x+2)(x+3)=x^2+5x+q 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 (x+2)(x+3)=x^2+5x+q equation:


Simplifying
(x + 2)(x + 3) = x2 + 5x + q

Reorder the terms:
(2 + x)(x + 3) = x2 + 5x + q

Reorder the terms:
(2 + x)(3 + x) = x2 + 5x + q

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x)) = x2 + 5x + q
((3 * 2 + x * 2) + x(3 + x)) = x2 + 5x + q
((6 + 2x) + x(3 + x)) = x2 + 5x + q
(6 + 2x + (3 * x + x * x)) = x2 + 5x + q
(6 + 2x + (3x + x2)) = x2 + 5x + q

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2) = x2 + 5x + q

Reorder the terms:
6 + 5x + x2 = q + 5x + x2

Add '-5x' to each side of the equation.
6 + 5x + -5x + x2 = q + 5x + -5x + x2

Combine like terms: 5x + -5x = 0
6 + 0 + x2 = q + 5x + -5x + x2
6 + x2 = q + 5x + -5x + x2

Combine like terms: 5x + -5x = 0
6 + x2 = q + 0 + x2
6 + x2 = q + x2

Add '-1x2' to each side of the equation.
6 + x2 + -1x2 = q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 0 = q + x2 + -1x2
6 = q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 = q + 0
6 = q

Solving
6 = q

Solving for variable 'q'.

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

Add '-1q' to each side of the equation.
6 + -1q = q + -1q

Combine like terms: q + -1q = 0
6 + -1q = 0

Add '-6' to each side of the equation.
6 + -6 + -1q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = 0 + -6
-1q = 0 + -6

Combine like terms: 0 + -6 = -6
-1q = -6

Divide each side by '-1'.
q = 6

Simplifying
q = 6

See similar equations:

| 2(5+7)=34 | | 3m+6n+2m-6n= | | -x-4x-7= | | 10x+1=ax+b | | f(-5)=9x+7 | | .25(11+5b)=19 | | 7(8-1)= | | 4z^2-5z+(m-3)=0 | | 88=5x-3(-3x+22) | | 88=5x-3(-3x-22) | | -5=3G+4 | | 6(4-6n)=-34-7 | | 5x+8y=40fory | | 5(m+4)=30+5c | | -15+23=-2(x+8) | | -5=13g+4 | | 20+(30*x)=40+30(1-x) | | 2x+12=8x-2 | | 3y+3+y=12 | | -2(7-3v)=-2 | | 0.10(x-5)=2.40 | | -5(c-2)=30+5c | | 5t-8+4t=19 | | -5x+3x=-12 | | 12=12b-4 | | 44=-7x-3(-x-4) | | -15+23=-2(x-8) | | -24=-8k-4k | | 6r^2+36=-33r | | a-4-2=-6 | | 2400+250x=6000 | | 4x-(x+2)= |

Equations solver categories