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Simplifying (3 + v)(4v + 7) = 0 Reorder the terms: (3 + v)(7 + 4v) = 0 Multiply (3 + v) * (7 + 4v) (3(7 + 4v) + v(7 + 4v)) = 0 ((7 * 3 + 4v * 3) + v(7 + 4v)) = 0 ((21 + 12v) + v(7 + 4v)) = 0 (21 + 12v + (7 * v + 4v * v)) = 0 (21 + 12v + (7v + 4v2)) = 0 Combine like terms: 12v + 7v = 19v (21 + 19v + 4v2) = 0 Solving 21 + 19v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + v)(7 + 4v) = 0Subproblem 1
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Subproblem 2
Set the factor '(7 + 4v)' equal to zero and attempt to solve: Simplifying 7 + 4v = 0 Solving 7 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4v = 0 + -7 4v = 0 + -7 Combine like terms: 0 + -7 = -7 4v = -7 Divide each side by '4'. v = -1.75 Simplifying v = -1.75Solution
v = {-3, -1.75}
| 11-(3x-6)+2(4x+5)-x= | | p+5=15 | | 10d-7(d-2)= | | 12g-g= | | 45=5c-10 | | m+8=22 | | 5k-5=7k-21 | | h+3=14 | | (4x-9)+8(2x+3)-7x= | | 12=-3x | | y+7=9 | | (4x-9)+8(x+3)-7x= | | 11t+5(1-3t)= | | 7(2r-3s)+9r+5s= | | 16=n+6 | | x-(0.275*(x-457.49)-790.58)-457.49=10000 | | q+10=22 | | -8b+7b= | | -29+5x=8(x-6)-5 | | m+9=17 | | -16n-16n= | | b-4=9 | | -(2-x)-3(6+8x)-12= | | 8=c-4 | | 0.44n+6=1.33 | | 11=t-7 | | 8(x+3)+8=5x-22 | | d-10=8 | | -12g+9g-3= | | x-(0.275*(x-457.49)-790.58)-457.49-790.58=10000 | | 6x+(14x-5)+(17-3x)= | | 18=9+y |