If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7 + 7a + 5a2 = 8 + 2a + 2a2 Solving 7 + 7a + 5a2 = 8 + 2a + 2a2 Solving for variable 'a'. Reorder the terms: 7 + -8 + 7a + -2a + 5a2 + -2a2 = 8 + 2a + 2a2 + -8 + -2a + -2a2 Combine like terms: 7 + -8 = -1 -1 + 7a + -2a + 5a2 + -2a2 = 8 + 2a + 2a2 + -8 + -2a + -2a2 Combine like terms: 7a + -2a = 5a -1 + 5a + 5a2 + -2a2 = 8 + 2a + 2a2 + -8 + -2a + -2a2 Combine like terms: 5a2 + -2a2 = 3a2 -1 + 5a + 3a2 = 8 + 2a + 2a2 + -8 + -2a + -2a2 Reorder the terms: -1 + 5a + 3a2 = 8 + -8 + 2a + -2a + 2a2 + -2a2 Combine like terms: 8 + -8 = 0 -1 + 5a + 3a2 = 0 + 2a + -2a + 2a2 + -2a2 -1 + 5a + 3a2 = 2a + -2a + 2a2 + -2a2 Combine like terms: 2a + -2a = 0 -1 + 5a + 3a2 = 0 + 2a2 + -2a2 -1 + 5a + 3a2 = 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 -1 + 5a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.3333333333 + 1.666666667a + a2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + 1.666666667a + 0.3333333333 + a2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + 1.666666667a + a2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + 1.666666667a + a2 = 0 + 0.3333333333 1.666666667a + a2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 1.666666667a + a2 = 0.3333333333 The a term is 1.666666667a. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667a + 0.6944444447 + a2 = 0.3333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667a + a2 = 0.3333333333 + 0.6944444447 Combine like terms: 0.3333333333 + 0.6944444447 = 1.027777778 0.6944444447 + 1.666666667a + a2 = 1.027777778 Factor a perfect square on the left side: (a + 0.8333333335)(a + 0.8333333335) = 1.027777778 Calculate the square root of the right side: 1.013793755 Break this problem into two subproblems by setting (a + 0.8333333335) equal to 1.013793755 and -1.013793755.Subproblem 1
a + 0.8333333335 = 1.013793755 Simplifying a + 0.8333333335 = 1.013793755 Reorder the terms: 0.8333333335 + a = 1.013793755 Solving 0.8333333335 + a = 1.013793755 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + a = 1.013793755 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + a = 1.013793755 + -0.8333333335 a = 1.013793755 + -0.8333333335 Combine like terms: 1.013793755 + -0.8333333335 = 0.1804604215 a = 0.1804604215 Simplifying a = 0.1804604215Subproblem 2
a + 0.8333333335 = -1.013793755 Simplifying a + 0.8333333335 = -1.013793755 Reorder the terms: 0.8333333335 + a = -1.013793755 Solving 0.8333333335 + a = -1.013793755 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + a = -1.013793755 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + a = -1.013793755 + -0.8333333335 a = -1.013793755 + -0.8333333335 Combine like terms: -1.013793755 + -0.8333333335 = -1.8471270885 a = -1.8471270885 Simplifying a = -1.8471270885Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.1804604215, -1.8471270885}
| 3y^2+10y=17y^2 | | -9x+4=2x+24 | | b^2+10b+9=0 | | 3(4x-1)=2(5x+4) | | 5x+7y=6 | | 6x-7=m | | 75-4x=32x+23 | | 3t-4=y | | (x+6)(x-2)=-7 | | V-3d=z | | 3x^2+4xy^2=1 | | 63-3x=6x+23 | | 1-2=-1 | | 14-8x=30-15x | | x*x=10-3X | | 5x-30=4x+2 | | 2x+23=10x-49 | | 14.95x+16.88y=157.22 | | 7x+20=5x+50 | | 8*15= | | 18x=13x+80000 | | -7x-9y=63 | | x^4+4x^3+2x^2-x+6=0 | | 95-2x=25x+17 | | -49-10x=7x+19 | | 16-0.4(k-12)=0.6(5k-12) | | x*x*x=4x | | 3(2-6n)=5(6-4n) | | 12x+8=9x-23 | | 2(8+5t)=1+5t | | 2x(x+1)=144 | | -12(g+5)=60 |