If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7a(3a + 4) = 8 Reorder the terms: 7a(4 + 3a) = 8 (4 * 7a + 3a * 7a) = 8 (28a + 21a2) = 8 Solving 28a + 21a2 = 8 Solving for variable 'a'. Reorder the terms: -8 + 28a + 21a2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 28a + 21a2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. -0.380952381 + 1.333333333a + a2 = 0 Move the constant term to the right: Add '0.380952381' to each side of the equation. -0.380952381 + 1.333333333a + 0.380952381 + a2 = 0 + 0.380952381 Reorder the terms: -0.380952381 + 0.380952381 + 1.333333333a + a2 = 0 + 0.380952381 Combine like terms: -0.380952381 + 0.380952381 = 0.000000000 0.000000000 + 1.333333333a + a2 = 0 + 0.380952381 1.333333333a + a2 = 0 + 0.380952381 Combine like terms: 0 + 0.380952381 = 0.380952381 1.333333333a + a2 = 0.380952381 The a term is 1.333333333a. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333a + 0.4444444442 + a2 = 0.380952381 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333a + a2 = 0.380952381 + 0.4444444442 Combine like terms: 0.380952381 + 0.4444444442 = 0.8253968252 0.4444444442 + 1.333333333a + a2 = 0.8253968252 Factor a perfect square on the left side: (a + 0.6666666665)(a + 0.6666666665) = 0.8253968252 Calculate the square root of the right side: 0.908513525 Break this problem into two subproblems by setting (a + 0.6666666665) equal to 0.908513525 and -0.908513525.Subproblem 1
a + 0.6666666665 = 0.908513525 Simplifying a + 0.6666666665 = 0.908513525 Reorder the terms: 0.6666666665 + a = 0.908513525 Solving 0.6666666665 + a = 0.908513525 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + a = 0.908513525 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + a = 0.908513525 + -0.6666666665 a = 0.908513525 + -0.6666666665 Combine like terms: 0.908513525 + -0.6666666665 = 0.2418468585 a = 0.2418468585 Simplifying a = 0.2418468585Subproblem 2
a + 0.6666666665 = -0.908513525 Simplifying a + 0.6666666665 = -0.908513525 Reorder the terms: 0.6666666665 + a = -0.908513525 Solving 0.6666666665 + a = -0.908513525 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + a = -0.908513525 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + a = -0.908513525 + -0.6666666665 a = -0.908513525 + -0.6666666665 Combine like terms: -0.908513525 + -0.6666666665 = -1.5751801915 a = -1.5751801915 Simplifying a = -1.5751801915Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.2418468585, -1.5751801915}
| 7(3a+4)=20 | | 7(3x+4)=12 | | 6a+8b+3a-5b= | | 3a+4b=76 | | 7s-38=102 | | -2(3m-6)=6(2+m) | | 0=-51(4v+3) | | tan(x)=0.7 | | 0=-17(6r-2) | | 10-7x=9x | | -14=3t-2 | | 26=-10+4n | | y-1=9-4y | | 2*(-6y+2)+3y=6 | | w+I=3w-2I | | g/2d=1/t2 | | (9x)-(4x^3)=0 | | x/2d=1/t2 | | 5w-2p=21 | | w=2p | | 8x^3+1=6x | | 7-10x+5+6x-8= | | 5y+2x-3-8y+4x-2y-4= | | 5w-3p=21 | | 2(3x-2)+4=20 | | 4y-3x+8z-3-2z+5x-8y-9= | | 3x+cosx=1 | | 6x-21-15=5x+20 | | 2(3-4x)+11=1 | | 430-55.30-233.88= | | 10x+9=30-x | | 2x-5(3x+7)=0 |