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Simplifying 4v2 + -40 = 6v Reorder the terms: -40 + 4v2 = 6v Solving -40 + 4v2 = 6v Solving for variable 'v'. Reorder the terms: -40 + -6v + 4v2 = 6v + -6v Combine like terms: 6v + -6v = 0 -40 + -6v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -3v + 2v2) = 0 Factor a trinomial. 2((-5 + -2v)(4 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -2v)' equal to zero and attempt to solve: Simplifying -5 + -2v = 0 Solving -5 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2v = 0 + 5 -2v = 0 + 5 Combine like terms: 0 + 5 = 5 -2v = 5 Divide each side by '-2'. v = -2.5 Simplifying v = -2.5Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-2.5, 4}
| 5/8h=150 | | -2(x+4)-8=3(x-7) | | f(x)=9x^3-81x^2-x+9 | | 1.7-0.3m=2+1.7m | | 12370=500x+120 | | 2370=500x+112 | | x-15.1=-7.6 | | r/-53=-156 | | 2a-7whena=6 | | 349.5=50x+112 | | 3x+20+10+15=180 | | a/b=8/15*2 | | 349.5=50*4.75+b | | 15x+26.50=.25x+14.50 | | 5-9+25(98+56-2+x)= | | 1/b=8/15*2 | | 50+x=240 | | .50+x=240 | | 6(x-1)-(4-x)=7x-8 | | x^4+x+1=0 | | x+3x+-5x+6x=100 | | 5(8+x)+12= | | 2370=4.75*500+b | | -2(-1)-5=-7 | | 349.5=4.75*50+b | | 2370=4.5*500+b | | 12ln(-6x)=-24 | | 3d^2-4d-3=0 | | 2(-1-6)+10(-1)=8(-1-2) | | 349.5=4.5*50+b | | 6x+48y=42 | | 349.5=5*50+b |