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Simplifying 3x3 = 108x Solving 3x3 = 108x Solving for variable 'x'. Reorder the terms: -108x + 3x3 = 108x + -108x Combine like terms: 108x + -108x = 0 -108x + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-36 + x2) = 0 Factor a difference between two squares. 3x((6 + x)(-6 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 3
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, -6, 6}
| 6=6.2+s | | 10x^2-150x+500=0 | | 0.38+x=0.25 | | 5.8x=-23.2 | | 14p=-210 | | 3y+2x=192 | | b/6-7=23 | | -2.4=n/4 | | -9n=36 | | 10.4=2.6s | | -11=k-17 | | 8=4(5)-3y | | -26=k-11 | | -6.3f=69.3 | | b+4.5=2.5 | | 5.3=v+5.5 | | x-17=2x+e | | 66=-6.6d | | 2m^3+4m^6=3 | | 8k=4/9 | | x-17=-23 | | 2/3u-7=9-2/3u | | 9=5.7+c | | X^3+30x^2+300x=2000 | | 2m^3+4m^6=6 | | 2x+3y=336 | | 7=5.2+a | | 5p-18=-43 | | -11=4.7+r | | 2w^2+5w=-6 | | -5(p+4)+6(p+1)-2=15 | | 15v=-120 |