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Simplifying 3x2 + 3x + -60 = 6x Reorder the terms: -60 + 3x + 3x2 = 6x Solving -60 + 3x + 3x2 = 6x Solving for variable 'x'. Reorder the terms: -60 + 3x + -6x + 3x2 = 6x + -6x Combine like terms: 3x + -6x = -3x -60 + -3x + 3x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -60 + -3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-20 + -1x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4, 5}
| 3v+8=17 | | a+4b=5 | | (9x-19)-8=14x | | 3a+2b=13 | | 5t-2x+3t= | | 5a+4b=23 | | -6(1-4s)=35 | | 19=4n+5n | | tg(2x+30)=-1 | | (2x-8)(7x+7)=0 | | 10+3n=5n | | X^3-7x^2-5x-7=0 | | 11+3g-7=6g+15 | | 5k-6k=-21 | | f(-3)=1-9x | | f(x)=1-9x | | 4.75(d)=.07d^3/2 | | D=1/2fk | | 3n^2+17h=-10 | | 3x+26=40 | | 3x+26+40= | | 58/5*9*25/2= | | 9/x-1=18/x^2-1 | | -.5(x+9)+5.75x=.375x | | 0.16(y-1)+0.12y=0.08y-0.09(10) | | 9*121/2*113/5= | | 4m+10=-8+6m | | -1.25*x-3.5=-13.5 | | d/7=12=d | | 32r^2-2=0 | | 71=w-10(13)/6 | | 0.866+N=1.414 |