(6q+10)(q-3)=

Simple and best practice solution for (6q+10)(q-3)= 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+10)(q-3)= equation:


Simplifying
(6q + 10)(q + -3) = 0

Reorder the terms:
(10 + 6q)(q + -3) = 0

Reorder the terms:
(10 + 6q)(-3 + q) = 0

Multiply (10 + 6q) * (-3 + q)
(10(-3 + q) + 6q * (-3 + q)) = 0
((-3 * 10 + q * 10) + 6q * (-3 + q)) = 0
((-30 + 10q) + 6q * (-3 + q)) = 0
(-30 + 10q + (-3 * 6q + q * 6q)) = 0
(-30 + 10q + (-18q + 6q2)) = 0

Combine like terms: 10q + -18q = -8q
(-30 + -8q + 6q2) = 0

Solving
-30 + -8q + 6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -4q + 3q2) = 0

Factor a trinomial.
2((-5 + -3q)(3 + -1q)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -3q)' equal to zero and attempt to solve: Simplifying -5 + -3q = 0 Solving -5 + -3q = 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 + -3q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3q = 0 + 5 -3q = 0 + 5 Combine like terms: 0 + 5 = 5 -3q = 5 Divide each side by '-3'. q = -1.666666667 Simplifying q = -1.666666667

Subproblem 2

Set the factor '(3 + -1q)' equal to zero and attempt to solve: Simplifying 3 + -1q = 0 Solving 3 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1q = 0 + -3 -1q = 0 + -3 Combine like terms: 0 + -3 = -3 -1q = -3 Divide each side by '-1'. q = 3 Simplifying q = 3

Solution

q = {-1.666666667, 3}

See similar equations:

| 6y-5=-2y+19 | | 5-4x-7=x-12x-5 | | 256/16 | | 9x-(3-4x)=6(x+3) | | (6q+6)(q-5)= | | (y^2+5y-2)(y^2+7)-3(y^3-2y)=0 | | f(x)=1/2x^4-8x^2 | | 961=20*20x | | (6q+5)(q-1)= | | 5t-3=18+3(1-1) | | 2+3u=-1 | | (-2)(7)= | | (6q+1)(q-5)= | | A+a=17n+5 | | Hg(x)=3.08(12)sqrt+18.97 | | ln(x+6)-ln(3)=ln(x) | | -18=v/2-6 | | (-2)7= | | 0=-4.9t^2+13t+700 | | [[8u[[v]^[4]]-2v]/[2[[v]^[4]][[w]^[3]]]] | | 33=5+4y | | (x^4+5x^3-4x^2+7x)(x-4)=0 | | 4(x+7)=2(x+20)-5(3-2x)+3 | | 2a(x+3)-x(a+3)-18=0 | | x^2-12x+30=-2 | | (2x-1)*(2x+1)=63 | | 2x+4+5x+9=180 | | x+8-x-7=9 | | A+2a+16+a=180 | | X-19/x-11 | | b^2-2b= | | 1+7n=6-n |

Equations solver categories