If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a(a + -5) + 4(a + -5) = a Reorder the terms: 2a(-5 + a) + 4(a + -5) = a (-5 * 2a + a * 2a) + 4(a + -5) = a (-10a + 2a2) + 4(a + -5) = a Reorder the terms: -10a + 2a2 + 4(-5 + a) = a -10a + 2a2 + (-5 * 4 + a * 4) = a -10a + 2a2 + (-20 + 4a) = a Reorder the terms: -20 + -10a + 4a + 2a2 = a Combine like terms: -10a + 4a = -6a -20 + -6a + 2a2 = a Solving -20 + -6a + 2a2 = a Solving for variable 'a'. Reorder the terms: -20 + -6a + -1a + 2a2 = a + -1a Combine like terms: -6a + -1a = -7a -20 + -7a + 2a2 = a + -1a Combine like terms: a + -1a = 0 -20 + -7a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -10 + -3.5a + a2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + -3.5a + 10 + a2 = 0 + 10 Reorder the terms: -10 + 10 + -3.5a + a2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3.5a + a2 = 0 + 10 -3.5a + a2 = 0 + 10 Combine like terms: 0 + 10 = 10 -3.5a + a2 = 10 The a term is -3.5a. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5a + 3.0625 + a2 = 10 + 3.0625 Reorder the terms: 3.0625 + -3.5a + a2 = 10 + 3.0625 Combine like terms: 10 + 3.0625 = 13.0625 3.0625 + -3.5a + a2 = 13.0625 Factor a perfect square on the left side: (a + -1.75)(a + -1.75) = 13.0625 Calculate the square root of the right side: 3.614208074 Break this problem into two subproblems by setting (a + -1.75) equal to 3.614208074 and -3.614208074.Subproblem 1
a + -1.75 = 3.614208074 Simplifying a + -1.75 = 3.614208074 Reorder the terms: -1.75 + a = 3.614208074 Solving -1.75 + a = 3.614208074 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + a = 3.614208074 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + a = 3.614208074 + 1.75 a = 3.614208074 + 1.75 Combine like terms: 3.614208074 + 1.75 = 5.364208074 a = 5.364208074 Simplifying a = 5.364208074Subproblem 2
a + -1.75 = -3.614208074 Simplifying a + -1.75 = -3.614208074 Reorder the terms: -1.75 + a = -3.614208074 Solving -1.75 + a = -3.614208074 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + a = -3.614208074 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + a = -3.614208074 + 1.75 a = -3.614208074 + 1.75 Combine like terms: -3.614208074 + 1.75 = -1.864208074 a = -1.864208074 Simplifying a = -1.864208074Solution
The solution to the problem is based on the solutions from the subproblems. a = {5.364208074, -1.864208074}
| 101(3a-1)=149 | | 7(x+20)=x+2 | | D-6=-9 | | -5(3p+3)= | | 0=x^2-5x-5 | | (8x+9)(3x-4)=0 | | (x+7)*.05+.4=.1x | | y=x^2-5x-5 | | 5(16-n)+100n=1125 | | 2x=m | | 2x-8x+5x-4x= | | 4n-3n-7=44 | | -2(x+5)=2(x-1) | | -2(4-3)=6 | | 100-80= | | 4n-3n-7=54 | | 0.4x-0.5(2x+7)=0.7(x+3) | | 2+35324= | | -66=-11g+33 | | -4a+24+6a=3a-7a | | -2(12y)= | | 5m(4m^3-3m^2+2)= | | 2000+25x=0 | | 14a=2a+60 | | 6+11x=-40 | | 5-x=5x+34 | | -9+n=17 | | -26+x=x+23 | | 10-8x-7-2x=5 | | -4(z+2)+2z= | | -9*n=17 | | 0.7x-0.1(15-3x)=0.5(x-6) |