If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 14a + -540 = 0 Reorder the terms: -540 + 14a + a2 = 0 Solving -540 + 14a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '540' to each side of the equation. -540 + 14a + 540 + a2 = 0 + 540 Reorder the terms: -540 + 540 + 14a + a2 = 0 + 540 Combine like terms: -540 + 540 = 0 0 + 14a + a2 = 0 + 540 14a + a2 = 0 + 540 Combine like terms: 0 + 540 = 540 14a + a2 = 540 The a term is 14a. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14a + 49 + a2 = 540 + 49 Reorder the terms: 49 + 14a + a2 = 540 + 49 Combine like terms: 540 + 49 = 589 49 + 14a + a2 = 589 Factor a perfect square on the left side: (a + 7)(a + 7) = 589 Calculate the square root of the right side: 24.269322199 Break this problem into two subproblems by setting (a + 7) equal to 24.269322199 and -24.269322199.Subproblem 1
a + 7 = 24.269322199 Simplifying a + 7 = 24.269322199 Reorder the terms: 7 + a = 24.269322199 Solving 7 + a = 24.269322199 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 24.269322199 + -7 Combine like terms: 7 + -7 = 0 0 + a = 24.269322199 + -7 a = 24.269322199 + -7 Combine like terms: 24.269322199 + -7 = 17.269322199 a = 17.269322199 Simplifying a = 17.269322199Subproblem 2
a + 7 = -24.269322199 Simplifying a + 7 = -24.269322199 Reorder the terms: 7 + a = -24.269322199 Solving 7 + a = -24.269322199 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = -24.269322199 + -7 Combine like terms: 7 + -7 = 0 0 + a = -24.269322199 + -7 a = -24.269322199 + -7 Combine like terms: -24.269322199 + -7 = -31.269322199 a = -31.269322199 Simplifying a = -31.269322199Solution
The solution to the problem is based on the solutions from the subproblems. a = {17.269322199, -31.269322199}
| 2q=x^2 | | x/2-1/3=1/12 | | (z+9)=2.1 | | 5secX+7=0 | | 1=.5(9.8)t | | x=2i*3i | | 3=.5(9.8)t | | (10x+4y-25)=0 | | x^2-15x-29=0 | | 15(z-1/5) | | 2x+0.05=36.05 | | 5.88=3(x+.75) | | 8x-12-10x+6= | | 7g=6+5g | | y-1=2/3(x-1) | | 5x^2+11x+10=0 | | 5x^2+11x+10x=0 | | 3k-9=-.5 | | 3(x+8)-5=19 | | 9=.5(9.8)t | | 3k-9=-2 | | 4=0.1x-0.6x-4 | | 5y=-18-4y | | 2=0.5x-05x-6 | | Log1/3(2) | | 2(2x+7)=2x-4 | | 2=0.5-0.6x-6 | | 10-1/3x=6 | | 53.648x-174x-63.4x+82.46x= | | 8=.5(9.8)t | | 7x^2-49x-49=0 | | 3k-6=-.5 |