(10p+7q)(-3p+6q)=

Simple and best practice solution for (10p+7q)(-3p+6q)= 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 (10p+7q)(-3p+6q)= equation: 


Simplifying
(10p + 7q)(-3p + 6q) = 0

Multiply (10p + 7q) * (-3p + 6q)
(10p * (-3p + 6q) + 7q * (-3p + 6q)) = 0
((-3p * 10p + 6q * 10p) + 7q * (-3p + 6q)) = 0

Reorder the terms:
((60pq + -30p2) + 7q * (-3p + 6q)) = 0
((60pq + -30p2) + 7q * (-3p + 6q)) = 0
(60pq + -30p2 + (-3p * 7q + 6q * 7q)) = 0
(60pq + -30p2 + (-21pq + 42q2)) = 0

Reorder the terms:
(60pq + -21pq + -30p2 + 42q2) = 0

Combine like terms: 60pq + -21pq = 39pq
(39pq + -30p2 + 42q2) = 0

Solving
39pq + -30p2 + 42q2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(13pq + -10p2 + 14q2) = 0

Factor a trinomial.
3((-10p + -7q)(p + -2q)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10p + -7q)' equal to zero and attempt to solve:

Simplifying
-10p + -7q = 0

Solving
-10p + -7q = 0

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

Add '7q' to each side of the equation.
-10p + -7q + 7q = 0 + 7q

Combine like terms: -7q + 7q = 0
-10p + 0 = 0 + 7q
-10p = 0 + 7q
Remove the zero:
-10p = 7q

Divide each side by '-10'.
p = -0.7q

Simplifying
p = -0.7q

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

Simplifying
p + -2q = 0

Solving
p + -2q = 0

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

Add '2q' to each side of the equation.
p + -2q + 2q = 0 + 2q

Combine like terms: -2q + 2q = 0
p + 0 = 0 + 2q
p = 0 + 2q
Remove the zero:
p = 2q

Simplifying
p = 2q
Solution
p = {-0.7q, 2q}

See similar equations:

| 5/3x+2/6x=45/9 | | 6x+24x-5=6(5x+6) | | 4y^2-20y+100=0 | | 5x+10x-7=3(5x+8) | | s+35=5(s-1) | | 4y^2-20y-100=0 | | 3x^2-40=0 | | 8x+8=8x+8 | | 9x+8=9x-1 | | 14+20m=42+13m | | (x-4)+(2x+5)=91 | | 7n-19=4n+5 | | 10(1-2y)=-52y | | 13.64=2s+3.08 | | X(x-5)=20 | | -10.28+m=39.89 | | 4[7-(-5x-7)]=167x+140 | | -16-6.5=m | | -69=4(7+8n)-(n+4) | | 2w^2-w-28=0 | | 1/8y+5=-19 | | -16+(-6.5)= | | (X-5)=29 | | -5(3x-4)+2x=2(x-5) | | 13z-6=8z+9 | | 8(2x+6)=24-(2x+6) | | 4(x+7)+5=2(x-5)+3 | | 1=2x-3 | | 8(2x+6)=24-(2x-6) | | 10z-7=12z+9 | | 26-5k=-4k | | -5.7+x=-4.0 |

Equations solver categories