If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7a(-4 + 7a) = 3(a + 1) (-4 * 7a + 7a * 7a) = 3(a + 1) (-28a + 49a2) = 3(a + 1) Reorder the terms: -28a + 49a2 = 3(1 + a) -28a + 49a2 = (1 * 3 + a * 3) -28a + 49a2 = (3 + 3a) Solving -28a + 49a2 = 3 + 3a Solving for variable 'a'. Reorder the terms: -3 + -28a + -3a + 49a2 = 3 + 3a + -3 + -3a Combine like terms: -28a + -3a = -31a -3 + -31a + 49a2 = 3 + 3a + -3 + -3a Reorder the terms: -3 + -31a + 49a2 = 3 + -3 + 3a + -3a Combine like terms: 3 + -3 = 0 -3 + -31a + 49a2 = 0 + 3a + -3a -3 + -31a + 49a2 = 3a + -3a Combine like terms: 3a + -3a = 0 -3 + -31a + 49a2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. -0.0612244898 + -0.6326530612a + a2 = 0 Move the constant term to the right: Add '0.0612244898' to each side of the equation. -0.0612244898 + -0.6326530612a + 0.0612244898 + a2 = 0 + 0.0612244898 Reorder the terms: -0.0612244898 + 0.0612244898 + -0.6326530612a + a2 = 0 + 0.0612244898 Combine like terms: -0.0612244898 + 0.0612244898 = 0.0000000000 0.0000000000 + -0.6326530612a + a2 = 0 + 0.0612244898 -0.6326530612a + a2 = 0 + 0.0612244898 Combine like terms: 0 + 0.0612244898 = 0.0612244898 -0.6326530612a + a2 = 0.0612244898 The a term is -0.6326530612a. Take half its coefficient (-0.3163265306). Square it (0.1000624740) and add it to both sides. Add '0.1000624740' to each side of the equation. -0.6326530612a + 0.1000624740 + a2 = 0.0612244898 + 0.1000624740 Reorder the terms: 0.1000624740 + -0.6326530612a + a2 = 0.0612244898 + 0.1000624740 Combine like terms: 0.0612244898 + 0.1000624740 = 0.1612869638 0.1000624740 + -0.6326530612a + a2 = 0.1612869638 Factor a perfect square on the left side: (a + -0.3163265306)(a + -0.3163265306) = 0.1612869638 Calculate the square root of the right side: 0.401605483 Break this problem into two subproblems by setting (a + -0.3163265306) equal to 0.401605483 and -0.401605483.Subproblem 1
a + -0.3163265306 = 0.401605483 Simplifying a + -0.3163265306 = 0.401605483 Reorder the terms: -0.3163265306 + a = 0.401605483 Solving -0.3163265306 + a = 0.401605483 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.3163265306' to each side of the equation. -0.3163265306 + 0.3163265306 + a = 0.401605483 + 0.3163265306 Combine like terms: -0.3163265306 + 0.3163265306 = 0.0000000000 0.0000000000 + a = 0.401605483 + 0.3163265306 a = 0.401605483 + 0.3163265306 Combine like terms: 0.401605483 + 0.3163265306 = 0.7179320136 a = 0.7179320136 Simplifying a = 0.7179320136Subproblem 2
a + -0.3163265306 = -0.401605483 Simplifying a + -0.3163265306 = -0.401605483 Reorder the terms: -0.3163265306 + a = -0.401605483 Solving -0.3163265306 + a = -0.401605483 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.3163265306' to each side of the equation. -0.3163265306 + 0.3163265306 + a = -0.401605483 + 0.3163265306 Combine like terms: -0.3163265306 + 0.3163265306 = 0.0000000000 0.0000000000 + a = -0.401605483 + 0.3163265306 a = -0.401605483 + 0.3163265306 Combine like terms: -0.401605483 + 0.3163265306 = -0.0852789524 a = -0.0852789524 Simplifying a = -0.0852789524Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.7179320136, -0.0852789524}
| 1/6*21/8*6 | | 3r+7=-6r-56 | | x^2+8x+16=45 | | 1/6x2 | | x+21=.75 | | 4x^2-6=30 | | 31/3+65/6 | | 6a+3a-5a-12a+4a=24 | | -7(5v-2)+2(v-7)=7v-8v | | 7x+3x=70 | | -8c= | | 3p/2 | | -7(v-8)=-7(2v+6) | | 2n/9m | | 30n=3 | | -2(3n+2)-4(3+2n)=-58 | | a=3.14(6.25) | | f(x)=2(x-5)2-8 | | 3(x-6)+14=11 | | 30y/12+y=15 | | 2n/9m*3p/2 | | V^2+12v-18=-5 | | 5(r-3)+2(r-5)=17 | | 7(7-8n)+2(3n+1)=-49 | | -2(3x-7)-2(2x-6)=66 | | -6(x-2)+2(1+7x)=22 | | 21=-(-3-7p)+3(1-4p) | | -4(1-4x)=-40-2x | | -5(1-4v)-8=-v+29 | | n-19=6(n-4)-6n | | F-1=16 | | -2m+8(-3+5m)=21-7m |