If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 13a + 15 = a(a + 6) Reorder the terms: 15 + 13a = a(a + 6) Reorder the terms: 15 + 13a = a(6 + a) 15 + 13a = (6 * a + a * a) 15 + 13a = (6a + a2) Solving 15 + 13a = 6a + a2 Solving for variable 'a'. Combine like terms: 13a + -6a = 7a 15 + 7a + -1a2 = 6a + a2 + -6a + -1a2 Reorder the terms: 15 + 7a + -1a2 = 6a + -6a + a2 + -1a2 Combine like terms: 6a + -6a = 0 15 + 7a + -1a2 = 0 + a2 + -1a2 15 + 7a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 15 + 7a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -15 + -7a + a2 = 0 Move the constant term to the right: Add '15' to each side of the equation. -15 + -7a + 15 + a2 = 0 + 15 Reorder the terms: -15 + 15 + -7a + a2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7a + a2 = 0 + 15 -7a + a2 = 0 + 15 Combine like terms: 0 + 15 = 15 -7a + a2 = 15 The a term is -7a. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7a + 12.25 + a2 = 15 + 12.25 Reorder the terms: 12.25 + -7a + a2 = 15 + 12.25 Combine like terms: 15 + 12.25 = 27.25 12.25 + -7a + a2 = 27.25 Factor a perfect square on the left side: (a + -3.5)(a + -3.5) = 27.25 Calculate the square root of the right side: 5.220153254 Break this problem into two subproblems by setting (a + -3.5) equal to 5.220153254 and -5.220153254.Subproblem 1
a + -3.5 = 5.220153254 Simplifying a + -3.5 = 5.220153254 Reorder the terms: -3.5 + a = 5.220153254 Solving -3.5 + a = 5.220153254 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + a = 5.220153254 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + a = 5.220153254 + 3.5 a = 5.220153254 + 3.5 Combine like terms: 5.220153254 + 3.5 = 8.720153254 a = 8.720153254 Simplifying a = 8.720153254Subproblem 2
a + -3.5 = -5.220153254 Simplifying a + -3.5 = -5.220153254 Reorder the terms: -3.5 + a = -5.220153254 Solving -3.5 + a = -5.220153254 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + a = -5.220153254 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + a = -5.220153254 + 3.5 a = -5.220153254 + 3.5 Combine like terms: -5.220153254 + 3.5 = -1.720153254 a = -1.720153254 Simplifying a = -1.720153254Solution
The solution to the problem is based on the solutions from the subproblems. a = {8.720153254, -1.720153254}
| x+1-(1-x)=3 | | 9x(x-10)=4(x-10) | | y-7=4(x-5) | | 3-b=7w-9 | | u-(2/5)=-(1/6) | | 3+3x=25 | | -6/-5•4•7/-3 | | -2-(-3)=-2+3 | | 1+1x=9 | | -8w+3=-7+2w | | x-5/4-3/4 | | 0.2x+0.3=3.1 | | 6x/5=1 | | 59x+20=35 | | x-ln(3-x)+ln(2)=0 | | 11+9x+1=1+20x | | (2u+6w-5)(2u+5)= | | 2(p-6)=9p+23 | | -2x-1+5x=2 | | 1/2(4x-8)=6x-12 | | 5p-1=-16 | | 11=x+17 | | 5y-10=3y+8 | | 0.5x-2=0.52-0.7x | | X-9x=-8 | | x(a-9b)=9m(x-c) | | 8n-9=3(4n+5) | | 22/20=x/8 | | (3y+1)*24= | | 200=2x+2y | | -1-1x=-5 | | 4(u+7)-6u=26 |