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Simplifying 18s2 + 24s + -90 = 0 Reorder the terms: -90 + 24s + 18s2 = 0 Solving -90 + 24s + 18s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '6'. 6(-15 + 4s + 3s2) = 0 Factor a trinomial. 6((-3 + -1s)(5 + -3s)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 2
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {-3, 1.666666667}
| 1/2(x-1)-1/3(x-1)=2 | | 15x^2+51x+30=0 | | 2(2+6g)= | | 5(2+5u)= | | 5d-12=2d+6 | | 11+11x+67+25=180 | | (6x+3)(3)= | | 2(-4y+9)+3y=-7 | | 3(8x+2)= | | 5v+1=v+1 | | 35.3=-(-2.81) | | 3x+2=180+26 | | 2+3n=5 | | (1+g)(3)= | | 44+3x+1+27=180 | | 13(X-5)=130 | | 7(6d+1)= | | 2y^2-3y-5-y^3-6y^2+5y= | | 3x+1+27+44=180 | | (2+k)(2)= | | 18z=306 | | 1=15x-1.86x^2 | | 5(1+8m)= | | -4x+12=-9 | | 5(2+3v)= | | y=2x(-2x-6)+10 | | 18y=54 | | 8x-6y=38 | | 2.5(2x+1)=10 | | x+3x-31= | | 2(4+4p)= | | -4(3-2x)=18 |