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Simplifying 16x3 + 80x2 + 100x = 0 Reorder the terms: 100x + 80x2 + 16x3 = 0 Solving 100x + 80x2 + 16x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(25 + 20x + 4x2) = 0 Factor a trinomial. 4x((5 + 2x)(5 + 2x)) = 0 Ignore the factor 4.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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 3
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -2.5, -2.5}
| 12+1y+2=2 | | 9w-11=72 | | 5x-3(5x-11)=-37 | | -4/5p=8/25 | | 3x+6xX=27 | | .7m-3.2=2.5+1.2m | | d=2p+5 | | -9x-2.4=4x+1 | | .7m-3.2=2.5+2.5 | | (3+b)4=24 | | -9h=-10h+8 | | 0.2n=1440 | | x-8+14x=22 | | .7m-3.2=2.5 | | 15x-25=0 | | 3x-2+5x-8+2x+1=180 | | 1/3x=3/4x-9 | | n/0.8=1440 | | x=8/12=1-3/4x | | T/0.18=5.2 | | 6p-2p+2=18 | | 4p+6=-10+6p | | x-8+14=22 | | 8X+5+2X-3= | | n/0.2=1440 | | log(x)=-13 | | -4.5=-10.5-7a | | B-0.83=-0.88 | | 200x-100x-1200000=100000 | | A/21.23=3.5 | | y^2+yz+9y+9z=0 | | 2p-2p+4p=8 |