If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9a2 + 3a = 18 Reorder the terms: 3a + 9a2 = 18 Solving 3a + 9a2 = 18 Solving for variable 'a'. Reorder the terms: -18 + 3a + 9a2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 3a + 9a2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + a + 3a2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + a + 3a2)' equal to zero and attempt to solve: Simplifying -6 + a + 3a2 = 0 Solving -6 + a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2 + 0.3333333333a + a2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + 0.3333333333a + 2 + a2 = 0 + 2 Reorder the terms: -2 + 2 + 0.3333333333a + a2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 0.3333333333a + a2 = 0 + 2 0.3333333333a + a2 = 0 + 2 Combine like terms: 0 + 2 = 2 0.3333333333a + a2 = 2 The a term is a. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.3333333333a + 0.25 + a2 = 2 + 0.25 Reorder the terms: 0.25 + 0.3333333333a + a2 = 2 + 0.25 Combine like terms: 2 + 0.25 = 2.25 0.25 + 0.3333333333a + a2 = 2.25 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = 2.25 Calculate the square root of the right side: 1.5 Break this problem into two subproblems by setting (a + 0.5) equal to 1.5 and -1.5.Subproblem 1
a + 0.5 = 1.5 Simplifying a + 0.5 = 1.5 Reorder the terms: 0.5 + a = 1.5 Solving 0.5 + a = 1.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = 1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = 1.5 + -0.5 a = 1.5 + -0.5 Combine like terms: 1.5 + -0.5 = 1 a = 1 Simplifying a = 1Subproblem 2
a + 0.5 = -1.5 Simplifying a + 0.5 = -1.5 Reorder the terms: 0.5 + a = -1.5 Solving 0.5 + a = -1.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = -1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = -1.5 + -0.5 a = -1.5 + -0.5 Combine like terms: -1.5 + -0.5 = -2 a = -2 Simplifying a = -2Solution
The solution to the problem is based on the solutions from the subproblems. a = {1, -2}Solution
a = {1, -2}
| 24x^2-80x+19=0 | | 2/x=95/100 | | 2y+5(.5-1.25y)=11 | | 3n+9+15=1 | | 3c-8=7c | | 4-(b-2)=-12 | | (8+2i)+(7-10i)= | | x^2-64=1 | | 3x-14+2(x-a)=2x-2 | | -4(b-2)=12 | | 3x/2(7-5)=-10 | | 4y+7=-25 | | 4(2.5x+1.5)-4.5(4x+5)= | | 8+4p=4 | | 7m-2n=-13 | | 7x/6(9-6)=0 | | (10a^4b-5/-5a^2b-2)3 | | -4x-3+6x-9= | | 3e^5x-6=12 | | 4(3z+7)=-2(6z+14) | | -28=-4(2y-3) | | 9y^2-54y=-81 | | -8(n-3)=-6+38 | | y^3=9/25 | | 2.7x=1.8 | | 4/3x-6=6 | | .25y=5x | | 17(p+1)=9-p | | -13/2/-3 | | f(-9)=x^2-5x-12 | | W=23.25x+17 | | 12-1.5=3a |