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Simplifying 443.432625675216x2 + 1x + -39.671192 = 0 Reorder the terms: -39.671192 + 1x + 443.432625675216x2 = 0 Solving -39.671192 + 1x + 443.432625675216x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 443.432625675216 the coefficient of the squared term: Divide each side by '443.432625675216'. -0.08946385472 + 0.002255134021x + x2 = 0 Move the constant term to the right: Add '0.08946385472' to each side of the equation. -0.08946385472 + 0.002255134021x + 0.08946385472 + x2 = 0 + 0.08946385472 Reorder the terms: -0.08946385472 + 0.08946385472 + 0.002255134021x + x2 = 0 + 0.08946385472 Combine like terms: -0.08946385472 + 0.08946385472 = 0.00000000000 0.00000000000 + 0.002255134021x + x2 = 0 + 0.08946385472 0.002255134021x + x2 = 0 + 0.08946385472 Combine like terms: 0 + 0.08946385472 = 0.08946385472 0.002255134021x + x2 = 0.08946385472 The x term is 0.002255134021x. Take half its coefficient (0.001127567011). Square it (0.000001271407364) and add it to both sides. Add '0.000001271407364' to each side of the equation. 0.002255134021x + 0.000001271407364 + x2 = 0.08946385472 + 0.000001271407364 Reorder the terms: 0.000001271407364 + 0.002255134021x + x2 = 0.08946385472 + 0.000001271407364 Combine like terms: 0.08946385472 + 0.000001271407364 = 0.089465126127364 0.000001271407364 + 0.002255134021x + x2 = 0.089465126127364 Factor a perfect square on the left side: (x + 0.001127567011)(x + 0.001127567011) = 0.089465126127364 Calculate the square root of the right side: 0.299107215 Break this problem into two subproblems by setting (x + 0.001127567011) equal to 0.299107215 and -0.299107215.Subproblem 1
x + 0.001127567011 = 0.299107215 Simplifying x + 0.001127567011 = 0.299107215 Reorder the terms: 0.001127567011 + x = 0.299107215 Solving 0.001127567011 + x = 0.299107215 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.001127567011' to each side of the equation. 0.001127567011 + -0.001127567011 + x = 0.299107215 + -0.001127567011 Combine like terms: 0.001127567011 + -0.001127567011 = 0.000000000000 0.000000000000 + x = 0.299107215 + -0.001127567011 x = 0.299107215 + -0.001127567011 Combine like terms: 0.299107215 + -0.001127567011 = 0.297979647989 x = 0.297979647989 Simplifying x = 0.297979647989Subproblem 2
x + 0.001127567011 = -0.299107215 Simplifying x + 0.001127567011 = -0.299107215 Reorder the terms: 0.001127567011 + x = -0.299107215 Solving 0.001127567011 + x = -0.299107215 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.001127567011' to each side of the equation. 0.001127567011 + -0.001127567011 + x = -0.299107215 + -0.001127567011 Combine like terms: 0.001127567011 + -0.001127567011 = 0.000000000000 0.000000000000 + x = -0.299107215 + -0.001127567011 x = -0.299107215 + -0.001127567011 Combine like terms: -0.299107215 + -0.001127567011 = -0.300234782011 x = -0.300234782011 Simplifying x = -0.300234782011Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.297979647989, -0.300234782011}
| 2-m= | | -39.671192x^2+443.432625675216x+1=0 | | -39.671192x^2+1x+443.432625675216=0 | | -2-m= | | 1x^2+443.432625675216x+-39.671192=0 | | 1x^2+-39.671192x+443.432625675216=0 | | 16x^2+72x+76=0 | | x^4-x^2+10x-24=0 | | 3-6*3+2=-15 | | x^8+2x^4-3= | | 3-6*3+2=-13 | | 0=0.5*0.5 | | 4x=5x-2(X+4) | | 39.671192x^2-x=443.432625675216 | | 10-7y+7y=70 | | 8*x=0.8 | | 12=(x*1000)/3,40 | | 443.432625675216x^2-39.671192x+1=0 | | x^2-39.671192x=-443.432625675216 | | 20-3m=5m+7 | | 2(6x+5)=-3x-3 | | 21*a^2-4ab-b^2=0 | | 4y-6=2y+2y+5 | | x^2-39.671192x+443.432625675216=0 | | 2x+3y=.66 | | 100-4n=k | | 21a^2-4ab-b^2=0 | | y^2+1y=36 | | 0.11x+0.159y=12.8 | | 5-3x=-8+6+9x | | 5x-20=2x+6 | | x^5+7x^5y^3-35x^3y^2+35xy= |