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Simplifying 5x3 + 5x2 + 12x = 0 Reorder the terms: 12x + 5x2 + 5x3 = 0 Solving 12x + 5x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(12 + 5x + 5x2) = 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 '(12 + 5x + 5x2)' equal to zero and attempt to solve: Simplifying 12 + 5x + 5x2 = 0 Solving 12 + 5x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + x + x2 = 0 + -2.4 x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 x + x2 = -2.4 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -2.4 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -2.4 + 0.25 Combine like terms: -2.4 + 0.25 = -2.15 1.25 + x2 = -2.15 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.15 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| (X+5)=1-3x | | n^2+4n-76=0 | | 4x^2+9x-5=0 | | 3000-12x=4000-160x | | 4(-6+5)=28 | | 3(3x+4)=-3(x-5) | | 267-2x=43x+22 | | 7x+0=0 | | 76-6x=12x+24 | | 3(2x-5)+3x=-1 | | 6x/27=43 | | 9/-3 | | 3-5(2x-1)=3(3+x) | | 6x+4=5x+2 | | x^2+5-8=0 | | (3x-2)(x+1)=3(x+4)(x-1) | | 3056890000+15000000x=2085000000+5550000x | | 64-4x=7+20 | | x^2+10x+2x=0 | | 5x=3x+10-x+20 | | 36/8 | | 2x-57=133 | | 8/36 | | x/5-2=x/3 | | 4x-12=4x-12 | | 2x-28=88 | | 7(x-1)+6x+1=12-3(x-4) | | 4x-12=4x-3 | | 2x-28=92 | | 725+10.5z=19.5z | | 19.5z=2500 | | 19.5=2500 |