If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (8a2 + -11a + 2) + -1(-7a2 + a + 9) = 0 Reorder the terms: (2 + -11a + 8a2) + -1(-7a2 + a + 9) = 0 Remove parenthesis around (2 + -11a + 8a2) 2 + -11a + 8a2 + -1(-7a2 + a + 9) = 0 Reorder the terms: 2 + -11a + 8a2 + -1(9 + a + -7a2) = 0 2 + -11a + 8a2 + (9 * -1 + a * -1 + -7a2 * -1) = 0 2 + -11a + 8a2 + (-9 + -1a + 7a2) = 0 Reorder the terms: 2 + -9 + -11a + -1a + 8a2 + 7a2 = 0 Combine like terms: 2 + -9 = -7 -7 + -11a + -1a + 8a2 + 7a2 = 0 Combine like terms: -11a + -1a = -12a -7 + -12a + 8a2 + 7a2 = 0 Combine like terms: 8a2 + 7a2 = 15a2 -7 + -12a + 15a2 = 0 Solving -7 + -12a + 15a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. -0.4666666667 + -0.8a + a2 = 0 Move the constant term to the right: Add '0.4666666667' to each side of the equation. -0.4666666667 + -0.8a + 0.4666666667 + a2 = 0 + 0.4666666667 Reorder the terms: -0.4666666667 + 0.4666666667 + -0.8a + a2 = 0 + 0.4666666667 Combine like terms: -0.4666666667 + 0.4666666667 = 0.0000000000 0.0000000000 + -0.8a + a2 = 0 + 0.4666666667 -0.8a + a2 = 0 + 0.4666666667 Combine like terms: 0 + 0.4666666667 = 0.4666666667 -0.8a + a2 = 0.4666666667 The a term is -0.8a. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8a + 0.16 + a2 = 0.4666666667 + 0.16 Reorder the terms: 0.16 + -0.8a + a2 = 0.4666666667 + 0.16 Combine like terms: 0.4666666667 + 0.16 = 0.6266666667 0.16 + -0.8a + a2 = 0.6266666667 Factor a perfect square on the left side: (a + -0.4)(a + -0.4) = 0.6266666667 Calculate the square root of the right side: 0.791622806 Break this problem into two subproblems by setting (a + -0.4) equal to 0.791622806 and -0.791622806.Subproblem 1
a + -0.4 = 0.791622806 Simplifying a + -0.4 = 0.791622806 Reorder the terms: -0.4 + a = 0.791622806 Solving -0.4 + a = 0.791622806 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + a = 0.791622806 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + a = 0.791622806 + 0.4 a = 0.791622806 + 0.4 Combine like terms: 0.791622806 + 0.4 = 1.191622806 a = 1.191622806 Simplifying a = 1.191622806Subproblem 2
a + -0.4 = -0.791622806 Simplifying a + -0.4 = -0.791622806 Reorder the terms: -0.4 + a = -0.791622806 Solving -0.4 + a = -0.791622806 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + a = -0.791622806 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + a = -0.791622806 + 0.4 a = -0.791622806 + 0.4 Combine like terms: -0.791622806 + 0.4 = -0.391622806 a = -0.391622806 Simplifying a = -0.391622806Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.191622806, -0.391622806}
| 10-(-10(y-5))=-4y-(y-5) | | x^2-40=58 | | (-2+3i)*(8-i)=0 | | kx^2+(k+1)x-(k+2)=0 | | 2(2q)= | | 6+6n-1=8n-33+6n | | w^2-36=5w | | 8-5x^2/x-2 | | -y=1/2x | | -.02x^2+.4x-1.25=0 | | (x+7)(x^3-4x+3)= | | 3x+3(x+1)+3(x+2)= | | 2t-6t=32 | | 9(2x-7)-3=9(x-4)+6 | | -0.107(6000)+0.4x=0.02(6000+x) | | 3+7(-4+5w)= | | -.50(x+9)5.75x=.375x | | 3+8x=8x+8 | | 3x+3x+3+3x+6= | | 5(4x-2)+3(2x+3)=2x-49 | | 7y+36x=21 | | 3(7-x)-33=21x-4(3-6x) | | 4x(7x^2-9x+3)= | | -7-5-8x+6x= | | -25/13=-35/52x | | (2/3)(3n-12)=(3/4)(4n-3) | | 7x+3=6x^2 | | x^2+8x+25+y^2-6y+25=25 | | 3(2y-4)=5(y+2) | | 3x+3x+1+3x+2= | | 4-5x=-7x+10 | | 9x+12=-168 |