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Simplifying 2x4 + -14x3 + -60x2 = 0 Reorder the terms: -60x2 + -14x3 + 2x4 = 0 Solving -60x2 + -14x3 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-30 + -7x + x2) = 0 Factor a trinomial. 2x2((-3 + -1x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {0, -3, 10}
| 10x+6x=48 | | 120(x/100)=1 | | 70(1-x)/100=1 | | 7(1-x)=1 | | 5/6x-3x=23 | | 7/2x-5/6x=1 | | 4s^2-11s=-7 | | 12y-50x=1500 | | 9=5x-69 | | -7y/6=12/-35 | | 6/7y=15/18 | | p^4r-rs=7p | | 0.3(x+5)0.5=8 | | 5c+23=8 | | Y=35x+3600 | | 8-(-16)+(-38)= | | 0.8-2(w-6)=30 | | 2x-13+24=7 | | 5-.5(8)+3=3m-8 | | x(2z-7)=16 | | P-22=19 | | 4x+9=4x-5 | | 5n-1-3n=2n+1 | | 0.7(x+14.1)=3(x+32.9) | | 8x=8+35 | | 0.7(x+14.1)=3(x+33.9) | | 8(2.92-2)+5(2.92)=22 | | 3/4n–18=1/4n–4 | | 6-(10*11)+10= | | 8(2.9-2)+5(2.9)=22 | | -1.00701051577(x^2-y^2-z^2+xy)=x^2+3y^2+3z^2-3xy-2xz-2yz | | 3/4(8) |