If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5a(7a + 7) = 1 Reorder the terms: 5a(7 + 7a) = 1 (7 * 5a + 7a * 5a) = 1 (35a + 35a2) = 1 Solving 35a + 35a2 = 1 Solving for variable 'a'. Reorder the terms: -1 + 35a + 35a2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 35a + 35a2 = 0 Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. -0.02857142857 + a + a2 = 0 Move the constant term to the right: Add '0.02857142857' to each side of the equation. -0.02857142857 + a + 0.02857142857 + a2 = 0 + 0.02857142857 Reorder the terms: -0.02857142857 + 0.02857142857 + a + a2 = 0 + 0.02857142857 Combine like terms: -0.02857142857 + 0.02857142857 = 0.00000000000 0.00000000000 + a + a2 = 0 + 0.02857142857 a + a2 = 0 + 0.02857142857 Combine like terms: 0 + 0.02857142857 = 0.02857142857 a + a2 = 0.02857142857 The a term is a. 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 + a2 = 0.02857142857 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + a2 = 0.02857142857 + 0.25 Combine like terms: 0.02857142857 + 0.25 = 0.27857142857 1.25 + a2 = 0.27857142857 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = 0.27857142857 Calculate the square root of the right side: 0.527798663 Break this problem into two subproblems by setting (a + 0.5) equal to 0.527798663 and -0.527798663.Subproblem 1
a + 0.5 = 0.527798663 Simplifying a + 0.5 = 0.527798663 Reorder the terms: 0.5 + a = 0.527798663 Solving 0.5 + a = 0.527798663 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = 0.527798663 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = 0.527798663 + -0.5 a = 0.527798663 + -0.5 Combine like terms: 0.527798663 + -0.5 = 0.027798663 a = 0.027798663 Simplifying a = 0.027798663Subproblem 2
a + 0.5 = -0.527798663 Simplifying a + 0.5 = -0.527798663 Reorder the terms: 0.5 + a = -0.527798663 Solving 0.5 + a = -0.527798663 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = -0.527798663 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = -0.527798663 + -0.5 a = -0.527798663 + -0.5 Combine like terms: -0.527798663 + -0.5 = -1.027798663 a = -1.027798663 Simplifying a = -1.027798663Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.027798663, -1.027798663}
| 7m+24=9 | | 3p+5q=-4 | | 20/x=x+1 | | 5-n=2 | | 5x+7=63-x | | 3q+5q=-4 | | 9x-7y=19fory | | -4a+8=16 | | 4(x+1)/6 | | x-8y=13fory | | 8+3q-3q=8 | | 53=-4x+9 | | 4x^2-136=264 | | 3q-p=8 | | 144/55*11/12 | | p-3q=8 | | x^2+30x+110=0 | | -3n-8=49 | | =-2x+20 | | 39(2x-5)=4(x-1.50) | | 392x-50=49x-1.50 | | (x^5+5x^3-x^2)+(4x^3-5x^5+4x-2x^2-7)= | | -2y+2y=20 | | 3a=31 | | 5-7x=-2x+55 | | 2p=48 | | 12x+3=12x-7 | | .1x+.2=.8 | | 2x+0=1x-3 | | 16p^2=9 | | 4+1/7x=6 | | 6v-25-9v=9+7v-6 |