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Simplifying (x + 2)(3x + 4) = (x + 2)(1 + -1x) Reorder the terms: (2 + x)(3x + 4) = (x + 2)(1 + -1x) Reorder the terms: (2 + x)(4 + 3x) = (x + 2)(1 + -1x) Multiply (2 + x) * (4 + 3x) (2(4 + 3x) + x(4 + 3x)) = (x + 2)(1 + -1x) ((4 * 2 + 3x * 2) + x(4 + 3x)) = (x + 2)(1 + -1x) ((8 + 6x) + x(4 + 3x)) = (x + 2)(1 + -1x) (8 + 6x + (4 * x + 3x * x)) = (x + 2)(1 + -1x) (8 + 6x + (4x + 3x2)) = (x + 2)(1 + -1x) Combine like terms: 6x + 4x = 10x (8 + 10x + 3x2) = (x + 2)(1 + -1x) Reorder the terms: 8 + 10x + 3x2 = (2 + x)(1 + -1x) Multiply (2 + x) * (1 + -1x) 8 + 10x + 3x2 = (2(1 + -1x) + x(1 + -1x)) 8 + 10x + 3x2 = ((1 * 2 + -1x * 2) + x(1 + -1x)) 8 + 10x + 3x2 = ((2 + -2x) + x(1 + -1x)) 8 + 10x + 3x2 = (2 + -2x + (1 * x + -1x * x)) 8 + 10x + 3x2 = (2 + -2x + (1x + -1x2)) Combine like terms: -2x + 1x = -1x 8 + 10x + 3x2 = (2 + -1x + -1x2) Solving 8 + 10x + 3x2 = 2 + -1x + -1x2 Solving for variable 'x'. Reorder the terms: 8 + -2 + 10x + x + 3x2 + x2 = 2 + -1x + -1x2 + -2 + x + x2 Combine like terms: 8 + -2 = 6 6 + 10x + x + 3x2 + x2 = 2 + -1x + -1x2 + -2 + x + x2 Combine like terms: 10x + x = 11x 6 + 11x + 3x2 + x2 = 2 + -1x + -1x2 + -2 + x + x2 Combine like terms: 3x2 + x2 = 4x2 6 + 11x + 4x2 = 2 + -1x + -1x2 + -2 + x + x2 Reorder the terms: 6 + 11x + 4x2 = 2 + -2 + -1x + x + -1x2 + x2 Combine like terms: 2 + -2 = 0 6 + 11x + 4x2 = 0 + -1x + x + -1x2 + x2 6 + 11x + 4x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 6 + 11x + 4x2 = 0 + -1x2 + x2 6 + 11x + 4x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 6 + 11x + 4x2 = 0 Factor a trinomial. (2 + x)(3 + 4x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-2, -0.75}
| 1/4x=10000 | | (x+9)(x-5)=(2x+8)(x-5) | | x(x^2-1)-27=8(x^2+x)-11x^2 | | -3.8t+4=4.4t+-37 | | 3(x-9)-1/2(4-2x) | | sin(2x+8)=cos(x+25) | | 7.34*7.34= | | y=12*2/5 | | 30=12*2/5 | | 4/5=?/10 | | 50=20*2/5 | | -0.2k+1=11 | | 14=35*2/5 | | 4/3•3.14•512 | | y=(14,35)2/5 | | C=0.10(m-100)+15+20 | | 1.4+b= | | 13=5-48 | | -62+2x=-4x+94 | | 54+3.5x=8x | | x-4(.5x-4)=12 | | 4/7y-6=-2 | | -11x-83=x+97 | | 5x-112=122-8x | | -2/3m=-0.2k | | 8n+6=4n-15 | | -3+7x=38 | | 4(0.35)+7(0.3)+10(0.25)+2(0.10)= | | (30*9)=(13+x)13 | | 7(y+3)=5y | | 4(y+2)-16=3(6y-8) | | x/3=1-x/8 |