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Simplifying 20v2 = 64 + 64v Solving 20v2 = 64 + 64v Solving for variable 'v'. Reorder the terms: -64 + -64v + 20v2 = 64 + 64v + -64 + -64v Reorder the terms: -64 + -64v + 20v2 = 64 + -64 + 64v + -64v Combine like terms: 64 + -64 = 0 -64 + -64v + 20v2 = 0 + 64v + -64v -64 + -64v + 20v2 = 64v + -64v Combine like terms: 64v + -64v = 0 -64 + -64v + 20v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-16 + -16v + 5v2) = 0 Factor a trinomial. 4((-4 + -5v)(4 + -1v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 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 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8Subproblem 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 = {-0.8, 4}
| (8z-u)(7z+4u)= | | (4u-7)(9+u)=0 | | (-9a+4b-c)-(-7b+8c-2d)= | | n^2(-7n+3n-5)=m | | (5x^3+4)(5x^3-4)= | | (7t-5)(7t+5)= | | (5x^6+2)(x^6+9)= | | y-3=7(x-5) | | (4x^9+9)(x^9+8)= | | 9a^2-36=0 | | (8z-u)(4z+3u)= | | (-1/3)(-7)= | | (-1/3)(-6)= | | x=x-19/100 | | (3x-2)(x^2-5x+5)= | | 96x+x/27 | | (x^2-5x+5)(3x-2)= | | 5y-9=66 | | 16=v/3+15 | | w/5-15=5 | | (8x+3)(5x^2+9x+1)= | | 75.00+25.00h=40.00h | | 40h=760 | | 40h=140 | | -1=-1/4h-7 | | -1=-1/4-7 | | m=-.13(13)+8 | | 75+25n=162.50 | | 1/2-3/4 | | 75+25n=125 | | 114.00=0.80x+18 | | m=-.13(11)+8 |