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Simplifying 3s3 + -9s2 = 84s Reorder the terms: -9s2 + 3s3 = 84s Solving -9s2 + 3s3 = 84s Solving for variable 's'. Reorder the terms: -84s + -9s2 + 3s3 = 84s + -84s Combine like terms: 84s + -84s = 0 -84s + -9s2 + 3s3 = 0 Factor out the Greatest Common Factor (GCF), '3s'. 3s(-28 + -3s + s2) = 0 Factor a trinomial. 3s((-4 + -1s)(7 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(-4 + -1s)' equal to zero and attempt to solve: Simplifying -4 + -1s = 0 Solving -4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1s = 0 + 4 -1s = 0 + 4 Combine like terms: 0 + 4 = 4 -1s = 4 Divide each side by '-1'. s = -4 Simplifying s = -4Subproblem 3
Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Solution
s = {0, -4, 7}
| 2x+15=4x-39 | | 2(c-4)=3(c-8) | | 4(g+1)=2g | | -12n+8=10 | | 8v^3-8v=0 | | 12z=48+36 | | 3.2y=80 | | 4+y+6x+4y= | | 6q-7=11-3q | | 3x+18=7-(2x+8) | | x^4-2x^2-35=0 | | -33=-6r+9 | | 5(x+3)+3x+5=5x+9 | | (T+2)(t-5)=0 | | 3.5x=14.7 | | 24x=-36 | | 4n=9 | | 4x-8=-10 | | x^2+8x+23=0 | | -28x=21 | | 23.8=3.5b | | 12x^3-16x^2-20x= | | 3t=9(s-5*6r) | | 1.6x=1.6 | | x+4=48 | | 5b=2b-42-36 | | -6q+1.7=-35.1-1.4q | | -4=1a-15 | | 4w-6=10 | | 48x=-12 | | 32=3.2c | | -6q+1.7=-35.1-1.4qsolve |