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Simplifying 2x2 + 3x2 + 2x + 3x = 0 Reorder the terms: 2x + 3x + 2x2 + 3x2 = 0 Combine like terms: 2x + 3x = 5x 5x + 2x2 + 3x2 = 0 Combine like terms: 2x2 + 3x2 = 5x2 5x + 5x2 = 0 Solving 5x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + x) = 0 Ignore the factor 5.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
| 3177=106X-5000 | | 3177=106x+5000 | | 4d+4=3d+8 | | 5(x-6)=-20 | | 5m-8=14-3m | | 6(a+7)=66 | | 15.8=2c-2 | | 7e-1=30.5 | | 5p=48.5 | | 7(x-8)=0 | | 3e-4=17 | | 8m-4=11-2m | | 43x+57(x-1)=1243 | | 7m+11=4-3m | | 5m+8=3m-6 | | 375=106x+5000 | | 9=x+8177.00 | | 3n=60+n | | 9=x-8177.00 | | 9=x-8177 | | 7+2n=41 | | 72+5=54 | | 2a(3a-5)= | | xy+3y=9 | | 9=375x-8177 | | 6n-42=12 | | 3x^2(3x+5)=0 | | 9=481x-8177 | | 5+8n=77 | | C=106X+5000 | | 2(X-6)=4X-(X+8) | | 115= |