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Simplifying 5x + 2x + x = 8x3 Combine like terms: 5x + 2x = 7x 7x + x = 8x3 Combine like terms: 7x + x = 8x 8x = 8x3 Solving 8x = 8x3 Solving for variable 'x'. Combine like terms: 8x3 + -8x3 = 0 8x + -8x3 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(1 + -1x2) = 0 Factor a difference between two squares. 8x((1 + x)(1 + -1x)) = 0 Ignore the factor 8.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 = -1Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -1, 1}
| 5x+2x+x=8x | | 1/1= | | 64x=16x^3 | | 5x+2x+x=8 | | u^2+8u+16= | | 486=27r | | 1/-2= | | 17=1p-3-3p | | 3x-3y=15 | | a/4+3=-3 | | (x-2)(x+3)(3x+1)=0 | | 2x-80+x-50+13x+30=180 | | k/3-3=-11 | | v+8=13 | | 6x+10+14x=5x(1+4x) | | -1+2= | | m/7-9=5 | | z=2ab | | 4+n/5=29 | | 2(x+4)+12=2(x+10) | | d-12=22 | | 274-7x=38+19 | | 5u^2-5u-100=0 | | 2+(3+m)= | | p/2+5=45 | | 5(8j)= | | 8x+14=-138 | | 4x+2+3x= | | s+0.45=10.07 | | 6x+10=140-9x | | 3(5n)= | | x-1/3-x-2/5=x+1/8 |