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Simplifying 12y2 + -37y + 21 = 0 Reorder the terms: 21 + -37y + 12y2 = 0 Solving 21 + -37y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -4y)(7 + -3y) = 0Subproblem 1
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {0.75, 2.333333333}
| 5(2x+4)-7x=9 | | 15x^2+19x+6= | | 4x+6y+10z=5 | | 3=5.2(x+3) | | 21y^2-16y-20= | | 3x+4=21+2 | | s^3+2s+3s^2+6=0 | | 24/21=9/15 | | -11-(-40)=x/12 | | -2-(-10)=x/2 | | s^3+6s+9=0 | | 2=-12y-y | | 100x(X)=153 | | 2x-8+4=-17 | | ln(6x+36)=ln(4x+22) | | 8*x+5*x=56 | | -(x-1)+5= | | 5/6x=-140/19 | | -2(x-2)+5= | | 8*x+4*x=56 | | 9z+z+4z= | | 6/7x-7/5x=4 | | f(x)=6x^2+20x+6 | | log(y)=18x+log(c) | | 100*log(1+x)=0.1 | | ln(y)=18x+lnc | | -5(x-3)=2x | | 45-90x=-99x+63 | | 45-9x=-99x+63 | | bc=207187925300125064623598916237656336480370017775500473481686211490999396200788591946948407675978156649154446490168460489767628152743693480303492107870609458240793206583924995881761263491981362057153132988722990511040964993723752302089557556682887785454 | | bc=207187925300125064623598916237656336480370017775500473481686211490999396200788591946948407675978156649154446490168460489767628152743693480303492107870609458240793206583924995881761263491981362057153132988722990511040964993723752302089557556682887785454 | | X-1/6=3/5 |