If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (a + 6)(3a + -7) = 4 Reorder the terms: (6 + a)(3a + -7) = 4 Reorder the terms: (6 + a)(-7 + 3a) = 4 Multiply (6 + a) * (-7 + 3a) (6(-7 + 3a) + a(-7 + 3a)) = 4 ((-7 * 6 + 3a * 6) + a(-7 + 3a)) = 4 ((-42 + 18a) + a(-7 + 3a)) = 4 (-42 + 18a + (-7 * a + 3a * a)) = 4 (-42 + 18a + (-7a + 3a2)) = 4 Combine like terms: 18a + -7a = 11a (-42 + 11a + 3a2) = 4 Solving -42 + 11a + 3a2 = 4 Solving for variable 'a'. Reorder the terms: -42 + -4 + 11a + 3a2 = 4 + -4 Combine like terms: -42 + -4 = -46 -46 + 11a + 3a2 = 4 + -4 Combine like terms: 4 + -4 = 0 -46 + 11a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -15.33333333 + 3.666666667a + a2 = 0 Move the constant term to the right: Add '15.33333333' to each side of the equation. -15.33333333 + 3.666666667a + 15.33333333 + a2 = 0 + 15.33333333 Reorder the terms: -15.33333333 + 15.33333333 + 3.666666667a + a2 = 0 + 15.33333333 Combine like terms: -15.33333333 + 15.33333333 = 0.00000000 0.00000000 + 3.666666667a + a2 = 0 + 15.33333333 3.666666667a + a2 = 0 + 15.33333333 Combine like terms: 0 + 15.33333333 = 15.33333333 3.666666667a + a2 = 15.33333333 The a term is 3.666666667a. Take half its coefficient (1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. 3.666666667a + 3.361111114 + a2 = 15.33333333 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667a + a2 = 15.33333333 + 3.361111114 Combine like terms: 15.33333333 + 3.361111114 = 18.694444444 3.361111114 + 3.666666667a + a2 = 18.694444444 Factor a perfect square on the left side: (a + 1.833333334)(a + 1.833333334) = 18.694444444 Calculate the square root of the right side: 4.323707257 Break this problem into two subproblems by setting (a + 1.833333334) equal to 4.323707257 and -4.323707257.Subproblem 1
a + 1.833333334 = 4.323707257 Simplifying a + 1.833333334 = 4.323707257 Reorder the terms: 1.833333334 + a = 4.323707257 Solving 1.833333334 + a = 4.323707257 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + a = 4.323707257 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + a = 4.323707257 + -1.833333334 a = 4.323707257 + -1.833333334 Combine like terms: 4.323707257 + -1.833333334 = 2.490373923 a = 2.490373923 Simplifying a = 2.490373923Subproblem 2
a + 1.833333334 = -4.323707257 Simplifying a + 1.833333334 = -4.323707257 Reorder the terms: 1.833333334 + a = -4.323707257 Solving 1.833333334 + a = -4.323707257 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + a = -4.323707257 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + a = -4.323707257 + -1.833333334 a = -4.323707257 + -1.833333334 Combine like terms: -4.323707257 + -1.833333334 = -6.157040591 a = -6.157040591 Simplifying a = -6.157040591Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.490373923, -6.157040591}
| z^2-13z=20 | | -2x+3(-4)=-14 | | 10(t-3)+4t=7(2t+5)-11 | | 10/150=0.06/x | | -2(2y+9)+3y=-14 | | -2=-1[n-8] | | 5(z-4)-2=4z-20 | | (2/(x-3))=7 | | 5x+4(2)=-7 | | y^2-3/5y+2/25=0 | | 4x-(2x-24)=0 | | 5(3x-9)+4x=-7 | | -(3y+4)-(-2y-7)=-4 | | 2(4)-3x=2 | | -2x+2+2x-5=-1+(-1)+6x+2 | | 2x-3(3x-10)=2 | | -12/27-8/12= | | 4x+2=-7+7x | | 2x=-2.4 | | (y^2-y)/y^2-4y+3 | | 3x-10=60-4x | | 10x^2+7-177=0 | | 15ab-6a+7b-2b=0 | | x=2-7(1) | | (6-3x)3=18 | | -5+9-4x=99 | | 2(x+3)-1=4-3(x-2) | | x-1-4x=-22 | | 7=4y-1 | | 3(x-2)-4=2(x-9) | | y=-1.2+4 | | 9(2-7y)+5y=-40 |