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Simplifying 12b2 = 15b Solving 12b2 = 15b Solving for variable 'b'. Reorder the terms: -15b + 12b2 = 15b + -15b Combine like terms: 15b + -15b = 0 -15b + 12b2 = 0 Factor out the Greatest Common Factor (GCF), '3b'. 3b(-5 + 4b) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-5 + 4b)' equal to zero and attempt to solve: Simplifying -5 + 4b = 0 Solving -5 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4b = 0 + 5 4b = 0 + 5 Combine like terms: 0 + 5 = 5 4b = 5 Divide each side by '4'. b = 1.25 Simplifying b = 1.25Solution
b = {0, 1.25}
| b-5b=12 | | 2x-8+x+17= | | 2(2t-1)-3(t+1)=0 | | 4(2x-1)+5(2x+5)= | | 3/2+x/10=1/5 | | 39.45x+0.50=130 | | -5x^2+8x=0 | | z(5z-3)(4z+1)=0 | | 1.58g-8=0.69 | | 20x=12x | | 6-(2n-9)=8-3n | | n-4=3n+16 | | 37.9+0.50x=130 | | -1a+1=15 | | 8m^2-78m+19=0 | | (6x+5)+(36)=10x-7 | | 2w+3w-4w= | | 3/2+x/10=11 | | 3-4(x-1)=0 | | 4x^2-70X+124=0 | | n+4=3.2 | | 4x+12=7x+30 | | 85x=c-60 | | 4x^2-70x+70=0 | | m^2-16=m^2+6m+12 | | (4k+5)(x+1)=0 | | 3x^10-3y^14=0 | | 7x+13=120 | | -2(r-3)=4 | | 7(2+n)-2(3n+1)=10(n+3) | | QS=42 | | 8z-0.5=9z |