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Simplifying 2x2 = 24 + 13x Solving 2x2 = 24 + 13x Solving for variable 'x'. Reorder the terms: -24 + -13x + 2x2 = 24 + 13x + -24 + -13x Reorder the terms: -24 + -13x + 2x2 = 24 + -24 + 13x + -13x Combine like terms: 24 + -24 = 0 -24 + -13x + 2x2 = 0 + 13x + -13x -24 + -13x + 2x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -24 + -13x + 2x2 = 0 Factor a trinomial. (-3 + -2x)(8 + -1x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-1.5, 8}
| -2/7•5/8 | | -2/7x5/8 | | -2q^2+7q+11=1 | | 3sin(x)-5x=4 | | 3x-(2-x)=6 | | x+5cos(x)=6 | | (5a+1)+(8-a)=0 | | 3a-11=7-a | | 5x+7(-4)=-22 | | 1-3x-2(x-1)=5(1-2x)+8 | | -7w/3=42 | | 15/4=-5v | | -3-1/1-4 | | 3500/25 | | 14x+17x-8+2=5x+2-8 | | 40y=-5x | | (x-9)2+(y-6)2=100 | | 12000/600 | | f(x)=x^2-16x+46 | | -2(6-x)=-9+x | | 2x-16=-32 | | -22=2x+12 | | X+29=7x+5 | | -23+(-7)= | | y=x^4-3x^2-2x+1 | | 12x+7=4x+39 | | X/-6=12/1 | | 231=50-u | | 12596+1.55A=33970 | | 24=3/8w | | 0.55A+12596=33970 | | 10.24=v/8 |