(6p+7q)(-2p+10q)=

Simple and best practice solution for (6p+7q)(-2p+10q)= 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 (6p+7q)(-2p+10q)= equation: 


Simplifying
(6p + 7q)(-2p + 10q) = 0

Multiply (6p + 7q) * (-2p + 10q)
(6p * (-2p + 10q) + 7q * (-2p + 10q)) = 0
((-2p * 6p + 10q * 6p) + 7q * (-2p + 10q)) = 0

Reorder the terms:
((60pq + -12p2) + 7q * (-2p + 10q)) = 0
((60pq + -12p2) + 7q * (-2p + 10q)) = 0
(60pq + -12p2 + (-2p * 7q + 10q * 7q)) = 0
(60pq + -12p2 + (-14pq + 70q2)) = 0

Reorder the terms:
(60pq + -14pq + -12p2 + 70q2) = 0

Combine like terms: 60pq + -14pq = 46pq
(46pq + -12p2 + 70q2) = 0

Solving
46pq + -12p2 + 70q2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(23pq + -6p2 + 35q2) = 0

Factor a trinomial.
2((-6p + -7q)(p + -5q)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6p + -7q)' equal to zero and attempt to solve:

Simplifying
-6p + -7q = 0

Solving
-6p + -7q = 0

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

Add '7q' to each side of the equation.
-6p + -7q + 7q = 0 + 7q

Combine like terms: -7q + 7q = 0
-6p + 0 = 0 + 7q
-6p = 0 + 7q
Remove the zero:
-6p = 7q

Divide each side by '-6'.
p = -1.166666667q

Simplifying
p = -1.166666667q

Subproblem 2
Set the factor '(p + -5q)' equal to zero and attempt to solve:

Simplifying
p + -5q = 0

Solving
p + -5q = 0

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

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

Combine like terms: -5q + 5q = 0
p + 0 = 0 + 5q
p = 0 + 5q
Remove the zero:
p = 5q

Simplifying
p = 5q
Solution
p = {-1.166666667q, 5q}

See similar equations:

| 8n^2-18N-5=0 | | 3(C-D)D= | | p^2-15p+50=0 | | (4u+9)(1-u)=0 | | 7/8a-5/3a | | 8n-(5n+4)=17 | | x^1/2=13 | | (4u+9)(1-0)=0 | | 5y-3y+7=4y+7-2y | | 6y+2y=26 | | -3(4b-10)=12(24+60) | | sqrt(x)=13 | | 3(x+2)+2(x+4)=-1 | | 2(3+2x)+3(x-4)=8 | | 9(7x-3)=1+2x | | 2x^2+17x+10=0 | | -12=-12a | | 25x+15=24x+10 | | 2x+1/x-4=6 | | -q/5=30 | | 12-7x=2(18-9+3) | | 12-5x=2(18-9+2) | | 7+3x=6x-3 | | 7(x^3+x^2-4)=7x^3+8 | | 16-9x^2y^2=0 | | 8x+3/5=3x+9/3 | | 9/5x=21 | | 4x*9/7=0 | | 10r^2s^2+9rst+2t^2=0 | | -6q=-5q+7 | | 2ab(5a-7b)= | | x/2-x/3=5/6 |

Equations solver categories