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Simplifying (10x + 4)(3x + 3) = 0 Reorder the terms: (4 + 10x)(3x + 3) = 0 Reorder the terms: (4 + 10x)(3 + 3x) = 0 Multiply (4 + 10x) * (3 + 3x) (4(3 + 3x) + 10x * (3 + 3x)) = 0 ((3 * 4 + 3x * 4) + 10x * (3 + 3x)) = 0 ((12 + 12x) + 10x * (3 + 3x)) = 0 (12 + 12x + (3 * 10x + 3x * 10x)) = 0 (12 + 12x + (30x + 30x2)) = 0 Combine like terms: 12x + 30x = 42x (12 + 42x + 30x2) = 0 Solving 12 + 42x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(2 + 7x + 5x2) = 0 Factor a trinomial. 6((1 + x)(2 + 5x)) = 0 Ignore the factor 6.Subproblem 1
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 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-1, -0.4}
| 3x=-x-8 | | (2x+5)(7x-9)= | | z-8z=4z-3-z | | -4y+14=-2y+4 | | 6=(-y)+42-2y | | (8x+7)(3x-9)= | | -6w-19=-4w-17 | | (4x+9)(2x+4)= | | 1+8(-z+3)=-(3z-1)-7 | | 15x+24=7y | | (3x-8)(5x-3)= | | (-2m^6/3w^-1x^-6)^-4 | | 3(3x+1)=2x-9x | | -8v-9=-6v+5 | | 22/24=n/60 | | 8x=0.3x | | 2+7x-44=-3x+12+9x | | 8(n+5)=9n-2 | | 8z-z=-3+5z-1-2 | | 2/3x3 | | 2(v-1)=3/5(10+5v) | | a/9+1 | | 13+a/4=(-3) | | -5(n-3)=8-4n | | k/9-3=(-11) | | -7=t-9 | | 1/2m-8=14+1/2m | | 2y^2-19+30=0 | | (-10)25=(-5x)-25 | | 2(3p-6)-3(5p+8)= | | 15x^2+12x^2= | | 5/80 |