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Simplifying 100x3 + 60x2 + 16x = 0 Reorder the terms: 16x + 60x2 + 100x3 = 0 Solving 16x + 60x2 + 100x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(4 + 15x + 25x2) = 0 Ignore the factor 4.Subproblem 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 '(4 + 15x + 25x2)' equal to zero and attempt to solve: Simplifying 4 + 15x + 25x2 = 0 Solving 4 + 15x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.16 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.16' to each side of the equation. 0.16 + 0.6x + -0.16 + x2 = 0 + -0.16 Reorder the terms: 0.16 + -0.16 + 0.6x + x2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.6x + x2 = 0 + -0.16 0.6x + x2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 0.6x + x2 = -0.16 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.16 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.16 + 0.09 Combine like terms: -0.16 + 0.09 = -0.07 0.09 + 0.6x + x2 = -0.07 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.07 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}
| 3x+33=24 | | 7X=267 | | 9X=267 | | 8x+7-6x=1-9x-8 | | 8X=267 | | X/8=267 | | 8x-6=5x+1.5 | | 10=3h/5 | | 9*9*9*9+5X=8331 | | 12x^2-56x+48=0 | | 9*9*9*9+4X=8331 | | 2^3/e^4 | | 9*9*9*9+3*5X=8331 | | 9*9*9*9+3X=8331 | | 9*9*9*9+2X=8331 | | 5x+3(12-2x)=31 | | 9*9*9*9+8*X=8331 | | 9*9*9*9*X/3= | | 4a+2C=93.36 | | -7x+1=-3x+25 | | 2x+4+4x-6=18 | | (x-1)(x-2)+2(x+1)=2(x^2+1) | | 24=2[a-(24-a)] | | -5x+7-6(x-1)=-(4x-4)-6x+6 | | -[2x-(9x+7)]=7+(6x+1) | | -[2x-(-9x+7)]=7+(6x+1) | | 2x+2y-3z=0 | | 3m-5t= | | 3x-5x=4x | | 6x-3(2-3x)=5(x-3)-51 | | 2x+3(x-8)=2(x-6) | | a=43.33+-2c |