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Simplifying (x + 4)(2x + 1) + -3(x + 4)(3x + 2) = 0 Reorder the terms: (4 + x)(2x + 1) + -3(x + 4)(3x + 2) = 0 Reorder the terms: (4 + x)(1 + 2x) + -3(x + 4)(3x + 2) = 0 Multiply (4 + x) * (1 + 2x) (4(1 + 2x) + x(1 + 2x)) + -3(x + 4)(3x + 2) = 0 ((1 * 4 + 2x * 4) + x(1 + 2x)) + -3(x + 4)(3x + 2) = 0 ((4 + 8x) + x(1 + 2x)) + -3(x + 4)(3x + 2) = 0 (4 + 8x + (1 * x + 2x * x)) + -3(x + 4)(3x + 2) = 0 (4 + 8x + (1x + 2x2)) + -3(x + 4)(3x + 2) = 0 Combine like terms: 8x + 1x = 9x (4 + 9x + 2x2) + -3(x + 4)(3x + 2) = 0 Reorder the terms: 4 + 9x + 2x2 + -3(4 + x)(3x + 2) = 0 Reorder the terms: 4 + 9x + 2x2 + -3(4 + x)(2 + 3x) = 0 Multiply (4 + x) * (2 + 3x) 4 + 9x + 2x2 + -3(4(2 + 3x) + x(2 + 3x)) = 0 4 + 9x + 2x2 + -3((2 * 4 + 3x * 4) + x(2 + 3x)) = 0 4 + 9x + 2x2 + -3((8 + 12x) + x(2 + 3x)) = 0 4 + 9x + 2x2 + -3(8 + 12x + (2 * x + 3x * x)) = 0 4 + 9x + 2x2 + -3(8 + 12x + (2x + 3x2)) = 0 Combine like terms: 12x + 2x = 14x 4 + 9x + 2x2 + -3(8 + 14x + 3x2) = 0 4 + 9x + 2x2 + (8 * -3 + 14x * -3 + 3x2 * -3) = 0 4 + 9x + 2x2 + (-24 + -42x + -9x2) = 0 Reorder the terms: 4 + -24 + 9x + -42x + 2x2 + -9x2 = 0 Combine like terms: 4 + -24 = -20 -20 + 9x + -42x + 2x2 + -9x2 = 0 Combine like terms: 9x + -42x = -33x -20 + -33x + 2x2 + -9x2 = 0 Combine like terms: 2x2 + -9x2 = -7x2 -20 + -33x + -7x2 = 0 Solving -20 + -33x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 33x + 7x2) = 0 Factor a trinomial. -1((4 + x)(5 + 7x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Solution
x = {-4, -0.7142857143}
| 3x=-6-3x+24 | | 25=11+4x | | 16=2x3/2 | | 5(-5+25)= | | y=x^3-2x+5 | | 2(m+8)=3(m-6) | | 24x+8-10x+14=12-2x+8x+34 | | 3(x-5)+2=-1 | | 16.5+3.5= | | 2x/x-3-1=6/x-3 | | 12.8*x=3.2 | | 4t+7=47 | | X+y+2=5 | | 10n^2-14n-492=0 | | 4m-m-9m=-8-3 | | 9[5-(-3x-4)]=108x+189 | | 9[1-(-7x-8)]=315x+369 | | 8t-9=6t-5 | | x=8-4x | | 4z+3=2x+13 | | 3.9x-14.17=6.5 | | 3.9x-14017=6.5 | | x+6=3(x+1) | | -2x^2+(a+b)x+1=0 | | 2.25=0.05x | | (2x^2-12)=(3x-12) | | 4x-(x+3)=3 | | 5x-(x+5)=7 | | 7x-(x-7)=25 | | -3(x+14)=11 | | 8-7x=9x+4 | | x-3(x^(1/2))=10 |