If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3a + 43)(2a + 37) = 180 Reorder the terms: (43 + 3a)(2a + 37) = 180 Reorder the terms: (43 + 3a)(37 + 2a) = 180 Multiply (43 + 3a) * (37 + 2a) (43(37 + 2a) + 3a * (37 + 2a)) = 180 ((37 * 43 + 2a * 43) + 3a * (37 + 2a)) = 180 ((1591 + 86a) + 3a * (37 + 2a)) = 180 (1591 + 86a + (37 * 3a + 2a * 3a)) = 180 (1591 + 86a + (111a + 6a2)) = 180 Combine like terms: 86a + 111a = 197a (1591 + 197a + 6a2) = 180 Solving 1591 + 197a + 6a2 = 180 Solving for variable 'a'. Reorder the terms: 1591 + -180 + 197a + 6a2 = 180 + -180 Combine like terms: 1591 + -180 = 1411 1411 + 197a + 6a2 = 180 + -180 Combine like terms: 180 + -180 = 0 1411 + 197a + 6a2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 235.1666667 + 32.83333333a + a2 = 0 Move the constant term to the right: Add '-235.1666667' to each side of the equation. 235.1666667 + 32.83333333a + -235.1666667 + a2 = 0 + -235.1666667 Reorder the terms: 235.1666667 + -235.1666667 + 32.83333333a + a2 = 0 + -235.1666667 Combine like terms: 235.1666667 + -235.1666667 = 0.0000000 0.0000000 + 32.83333333a + a2 = 0 + -235.1666667 32.83333333a + a2 = 0 + -235.1666667 Combine like terms: 0 + -235.1666667 = -235.1666667 32.83333333a + a2 = -235.1666667 The a term is 32.83333333a. Take half its coefficient (16.41666667). Square it (269.5069446) and add it to both sides. Add '269.5069446' to each side of the equation. 32.83333333a + 269.5069446 + a2 = -235.1666667 + 269.5069446 Reorder the terms: 269.5069446 + 32.83333333a + a2 = -235.1666667 + 269.5069446 Combine like terms: -235.1666667 + 269.5069446 = 34.3402779 269.5069446 + 32.83333333a + a2 = 34.3402779 Factor a perfect square on the left side: (a + 16.41666667)(a + 16.41666667) = 34.3402779 Calculate the square root of the right side: 5.860057841 Break this problem into two subproblems by setting (a + 16.41666667) equal to 5.860057841 and -5.860057841.Subproblem 1
a + 16.41666667 = 5.860057841 Simplifying a + 16.41666667 = 5.860057841 Reorder the terms: 16.41666667 + a = 5.860057841 Solving 16.41666667 + a = 5.860057841 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16.41666667' to each side of the equation. 16.41666667 + -16.41666667 + a = 5.860057841 + -16.41666667 Combine like terms: 16.41666667 + -16.41666667 = 0.00000000 0.00000000 + a = 5.860057841 + -16.41666667 a = 5.860057841 + -16.41666667 Combine like terms: 5.860057841 + -16.41666667 = -10.556608829 a = -10.556608829 Simplifying a = -10.556608829Subproblem 2
a + 16.41666667 = -5.860057841 Simplifying a + 16.41666667 = -5.860057841 Reorder the terms: 16.41666667 + a = -5.860057841 Solving 16.41666667 + a = -5.860057841 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16.41666667' to each side of the equation. 16.41666667 + -16.41666667 + a = -5.860057841 + -16.41666667 Combine like terms: 16.41666667 + -16.41666667 = 0.00000000 0.00000000 + a = -5.860057841 + -16.41666667 a = -5.860057841 + -16.41666667 Combine like terms: -5.860057841 + -16.41666667 = -22.276724511 a = -22.276724511 Simplifying a = -22.276724511Solution
The solution to the problem is based on the solutions from the subproblems. a = {-10.556608829, -22.276724511}
| -3.8x-(-2-4x)=.6 | | 3x-12+6x=6(3x-3)+3 | | 8-43x=-73 | | 5+6LNx=2 | | x^2-66x+144= | | (2*3)8+6(-4-9)9= | | e^7x+6=11 | | 14/24=t/84 | | 5+6inx=2 | | 40=3x+7x+10 | | -1(6x+4)=2(x-3) | | -25x^2-5x+1260=0 | | 6-2(3r-1)=2 | | 3+2z-2=6z+13-2z | | -25x^2-5x+12600=y | | 39-71d-78-2d+8+4d= | | 5a+2=3a+14 | | (3a+43)(2a+37)= | | x^2-3x+2=1 | | 17.6-18.28=21.8n-41.8 | | 2/3m-1/2=3/5 | | x^2-6x=-12 | | 4(5a-3)-3(2a-5)=17 | | tan12=100/x | | -4y-2y+8=0 | | r/r^-5*r^-4 | | 20x-3=8x+105 | | (2/3)x-18=(x/8) | | y=0.8sinx | | 3.4+x=20.9 | | 4x+3-3=23-3 | | 3(2x+4)=(3x+4)+4 |