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Simplifying (x + 6)(x + 8) = 168 Reorder the terms: (6 + x)(x + 8) = 168 Reorder the terms: (6 + x)(8 + x) = 168 Multiply (6 + x) * (8 + x) (6(8 + x) + x(8 + x)) = 168 ((8 * 6 + x * 6) + x(8 + x)) = 168 ((48 + 6x) + x(8 + x)) = 168 (48 + 6x + (8 * x + x * x)) = 168 (48 + 6x + (8x + x2)) = 168 Combine like terms: 6x + 8x = 14x (48 + 14x + x2) = 168 Solving 48 + 14x + x2 = 168 Solving for variable 'x'. Reorder the terms: 48 + -168 + 14x + x2 = 168 + -168 Combine like terms: 48 + -168 = -120 -120 + 14x + x2 = 168 + -168 Combine like terms: 168 + -168 = 0 -120 + 14x + x2 = 0 Factor a trinomial. (-20 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-20, 6}
| 80+10c=150+5c | | 7(3+p)=7 | | 5=10(p+3) | | 5(x+3)-4(2x-9)=0 | | 14.24+140.92A+38.29B=12.56+22.92A+38.02B | | (4x-1)(x+9)=0 | | 21+0.05m=15+0.11m | | 3z+6= | | 3x+8=89-6x | | 5g+9=4 | | 5y+3=2y | | -b+4b=8b-4 | | 9x+9=3x+51 | | 6x-18=36 | | 3x-10=50+x | | -(z+9)+(2z+1)=4(z+1) | | 9x-67=6x-10 | | 3x-6=6+x | | 5k^2-39k-8=0 | | 64-4x=5x+24 | | 8w-4w=60 | | 8w+4w=60 | | 3y=0+3 | | b^2+24b+144=0 | | 2(8x+5)=4(3x+1) | | 13-9x=53-16x | | -87-7x=8x+18 | | 8w=60-4w | | 6q-20=60+4q | | 150-6x=3x+15 | | 225.21+150.23A+40.17B=14.24+140.92A+38.29B | | .2a-.2=-6 |