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Simplifying (x + 3)(x + 2) = 6 Reorder the terms: (3 + x)(x + 2) = 6 Reorder the terms: (3 + x)(2 + x) = 6 Multiply (3 + x) * (2 + x) (3(2 + x) + x(2 + x)) = 6 ((2 * 3 + x * 3) + x(2 + x)) = 6 ((6 + 3x) + x(2 + x)) = 6 (6 + 3x + (2 * x + x * x)) = 6 (6 + 3x + (2x + x2)) = 6 Combine like terms: 3x + 2x = 5x (6 + 5x + x2) = 6 Add '-6' to each side of the equation. 6 + 5x + -6 + x2 = 6 + -6 Reorder the terms: 6 + -6 + 5x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 5x + x2 = 6 + -6 5x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 5x + x2 = 0 Solving 5x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + x) = 0Subproblem 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
| x-0.5y-2=0 | | -4y=7 | | 15n=-5 | | x=-2+0.5y | | x=0.5(y-4) | | 25-4m=5m+30 | | 2x-3y=z | | 10n^2-65n-35=0 | | (2x+5)(x+2)=6 | | 10-4w=8 | | -36x^2+144x-96=0 | | (n+2)+5=15 | | -3x+b=6y | | -36x^2+192x-144=0 | | n+20=10 | | 8n-25=47 | | 8n-25=45 | | 6n-11=31 | | 6n+4=32 | | 2*-2+-2*6= | | n-11=20 | | 10-(-7)= | | n+19=37 | | 6-n=5n+30 | | n+15=22 | | n-6=7 | | 4-(-2)= | | 4m+7=9m-13 | | 2x-5+3x=35 | | -4x+2=26 | | 5+(-7)= | | 71-7x=2x+18 |