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Simplifying (5x2 + -30x + 9) + 5 = 14 Reorder the terms: (9 + -30x + 5x2) + 5 = 14 Remove parenthesis around (9 + -30x + 5x2) 9 + -30x + 5x2 + 5 = 14 Reorder the terms: 9 + 5 + -30x + 5x2 = 14 Combine like terms: 9 + 5 = 14 14 + -30x + 5x2 = 14 Add '-14' to each side of the equation. 14 + -30x + -14 + 5x2 = 14 + -14 Reorder the terms: 14 + -14 + -30x + 5x2 = 14 + -14 Combine like terms: 14 + -14 = 0 0 + -30x + 5x2 = 14 + -14 -30x + 5x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -30x + 5x2 = 0 Solving -30x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
| 3y+3y= | | 2/7x+5=-9 | | 320t=280(3-t) | | 7(1+x)+4x=4x | | 5x^2-30x+9+5=14 | | -5/7-1/4 | | (x-8)(3x+6)=0 | | 3x=4+5x | | 9x=3x | | x/4+6=-5 | | 7(x-8)=8 | | 5(2p-6)-3=-93 | | 15m-4+9m=-32 | | -14=2p | | -(2/3)x+1=7 | | 0=1+b | | 5m-5=8m+9 | | 3-2t=6t+4 | | (-2/3)x+1=7 | | 4x-5y=19 | | 15-b=73 | | 8x+3=15x-11 | | 8x+(6x+y)= | | 6x-4=8x+8 | | 8a-4b+3a+2b+7= | | 6d=-84 | | y=7x-7 | | 35/8N=1233/43 | | 3=(2/3)3+b | | 10x(2-3x)= | | -n/6=22-27 | | -8/25x^-9/5=0 |