If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12a + 40a2 + -49 = 0 Reorder the terms: -49 + 12a + 40a2 = 0 Solving -49 + 12a + 40a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. -1.225 + 0.3a + a2 = 0 Move the constant term to the right: Add '1.225' to each side of the equation. -1.225 + 0.3a + 1.225 + a2 = 0 + 1.225 Reorder the terms: -1.225 + 1.225 + 0.3a + a2 = 0 + 1.225 Combine like terms: -1.225 + 1.225 = 0.000 0.000 + 0.3a + a2 = 0 + 1.225 0.3a + a2 = 0 + 1.225 Combine like terms: 0 + 1.225 = 1.225 0.3a + a2 = 1.225 The a term is 0.3a. Take half its coefficient (0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. 0.3a + 0.0225 + a2 = 1.225 + 0.0225 Reorder the terms: 0.0225 + 0.3a + a2 = 1.225 + 0.0225 Combine like terms: 1.225 + 0.0225 = 1.2475 0.0225 + 0.3a + a2 = 1.2475 Factor a perfect square on the left side: (a + 0.15)(a + 0.15) = 1.2475 Calculate the square root of the right side: 1.116915395 Break this problem into two subproblems by setting (a + 0.15) equal to 1.116915395 and -1.116915395.Subproblem 1
a + 0.15 = 1.116915395 Simplifying a + 0.15 = 1.116915395 Reorder the terms: 0.15 + a = 1.116915395 Solving 0.15 + a = 1.116915395 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.15' to each side of the equation. 0.15 + -0.15 + a = 1.116915395 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + a = 1.116915395 + -0.15 a = 1.116915395 + -0.15 Combine like terms: 1.116915395 + -0.15 = 0.966915395 a = 0.966915395 Simplifying a = 0.966915395Subproblem 2
a + 0.15 = -1.116915395 Simplifying a + 0.15 = -1.116915395 Reorder the terms: 0.15 + a = -1.116915395 Solving 0.15 + a = -1.116915395 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.15' to each side of the equation. 0.15 + -0.15 + a = -1.116915395 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + a = -1.116915395 + -0.15 a = -1.116915395 + -0.15 Combine like terms: -1.116915395 + -0.15 = -1.266915395 a = -1.266915395 Simplifying a = -1.266915395Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.966915395, -1.266915395}
| 40a^2b+12ab-49b= | | 49y^2+28y+4= | | 1/3x=15 | | 6c=90 | | 8x^2+16x-192=0 | | 6(x)+7=5(x)+2 | | 7x+9-9x+6=2x+15 | | 35x^2-73x+18=0 | | 4x^2y^2-62xy^2-140y^2=0 | | 44b^2-24b-20=0 | | 21r^2+11r-40= | | 64-4y^2= | | 50-18z^2= | | X+7y=28 | | 4w^4-100w^2= | | 0.50n+5=25 | | 4x+3.6+6+x=1.2 | | X=14+7 | | 56pqrs+40q^2rs-24qrs= | | 6.5+f=15 | | -7/3(-2/3) | | 72a^4-168a^2+98=0 | | 3a+6a+7= | | 20z^2+3z-9= | | 5/6t-3=7 | | x+2.9=5.1 | | 11p^4+23p^3q+2p^2q^2=0 | | ((x^2-7x+10)/(x^2-x-20))*((x^2-16)/(x^2-4)) | | 4y^2-28y-15= | | 12abc^2-28a^2bc+8ab^2c= | | 10y^2+49y+18= | | 6t^2u^2+2tu^2v+7tuw= |