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Simplifying (x + -2)(x + 3)(x + -4) = 24 Reorder the terms: (-2 + x)(x + 3)(x + -4) = 24 Reorder the terms: (-2 + x)(3 + x)(x + -4) = 24 Reorder the terms: (-2 + x)(3 + x)(-4 + x) = 24 Multiply (-2 + x) * (3 + x) (-2(3 + x) + x(3 + x))(-4 + x) = 24 ((3 * -2 + x * -2) + x(3 + x))(-4 + x) = 24 ((-6 + -2x) + x(3 + x))(-4 + x) = 24 (-6 + -2x + (3 * x + x * x))(-4 + x) = 24 (-6 + -2x + (3x + x2))(-4 + x) = 24 Combine like terms: -2x + 3x = 1x (-6 + 1x + x2)(-4 + x) = 24 Multiply (-6 + 1x + x2) * (-4 + x) (-6(-4 + x) + 1x * (-4 + x) + x2(-4 + x)) = 24 ((-4 * -6 + x * -6) + 1x * (-4 + x) + x2(-4 + x)) = 24 ((24 + -6x) + 1x * (-4 + x) + x2(-4 + x)) = 24 (24 + -6x + (-4 * 1x + x * 1x) + x2(-4 + x)) = 24 (24 + -6x + (-4x + 1x2) + x2(-4 + x)) = 24 (24 + -6x + -4x + 1x2 + (-4 * x2 + x * x2)) = 24 (24 + -6x + -4x + 1x2 + (-4x2 + x3)) = 24 Combine like terms: -6x + -4x = -10x (24 + -10x + 1x2 + -4x2 + x3) = 24 Combine like terms: 1x2 + -4x2 = -3x2 (24 + -10x + -3x2 + x3) = 24 Add '-24' to each side of the equation. 24 + -10x + -3x2 + -24 + x3 = 24 + -24 Reorder the terms: 24 + -24 + -10x + -3x2 + x3 = 24 + -24 Combine like terms: 24 + -24 = 0 0 + -10x + -3x2 + x3 = 24 + -24 -10x + -3x2 + x3 = 24 + -24 Combine like terms: 24 + -24 = 0 -10x + -3x2 + x3 = 0 Solving -10x + -3x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + -3x + x2) = 0 Factor a trinomial. x((-2 + -1x)(5 + -1x)) = 0Subproblem 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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, -2, 5}
| F(x)=x^2-bx+9 | | x^9-2x^5-3x=0 | | 5-b=8 | | 2x-23+15=0 | | 2x+4=-4(0-7) | | .83y-.16=3.6 | | 0.049=0.252 | | 7n+16=2-9n | | 7+3t=4t-8 | | Cos^2x=2cosx+3 | | 3p-8=15 | | R-17.9=5.2 | | .9y-.3=1.4 | | f(x)=4-5x^2 | | -.4x=.2 | | =-4.9h^2+30h | | -3(3s-6)-18=-2(8s+11)-2 | | (5+7)+(12+1)+(6+2)+(2+x)=0 | | 5n+13=73 | | -4.9t^2+12t+0.6=0 | | 4x-3(6x-13)=25 | | F(x)=10x^3+x^4-1 | | 4x-3(x-13)=25 | | 4(a-3)=-2(a-6)+a | | 4x+9y=36-4x | | (2x+1)(x+1)=(x-2)(2x+5) | | .6x=.4 | | 12x+5y=152 | | 9+3x+5+10x=-5+4x+18+2x | | .66(6x)=2x+4 | | s=4p-48h | | -1.5a=15 |